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Electrostatics And Distributions OF ChargeCoulomb DivergencePoint Charge FluxDelta Normalization

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Concept & counterexample

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Electrostatics And Distributions OF ChargePoisson Source ReadingGaussian ChargePoint Smooth Split

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargeGauss EnclosureDisplaced SphereSingular Boundary

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Concept & counterexample

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Electrostatics And Distributions OF ChargeSource CodimensionEnergy CutoffLocal Integrability

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargeInterface JumpPillbox LoopSinusoidal Sheet

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Proof

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Electrostatics And Distributions OF ChargeCylindrical SymmetryGraded SleeveGaussian Surface Limit

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargeNeutral Core ShellRadial Gauss LawSurface Jump

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargeCoaxial PotentialFinite ReferencePiecewise Annulus

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargePlanar SlabParity PotentialThin Sheet Limit

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargeAnnular Coulomb IntegralGraded Surface ChargeFar Field Check

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:011Audit a polynomial potential against its claimed conducting boundary

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Electrostatics And Distributions OF ChargePoisson AuditBoundary CompatibilityPolynomial Potential

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:012A continuous radial potential can still hide volume and surface charge

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Electrostatics And Distributions OF ChargeRadial LaplacianHidden Surface ChargePiecewise Potential

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Concept & counterexample

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ED:013The charge hidden by a vanishing radial derivative

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Electrostatics And Distributions OF ChargeDistributional DivergencePoint Charge SourceGaussian Flux

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:014Axis and bulk sources encoded in a cylindrical potential

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Electrostatics And Distributions OF ChargeCylindrical PoissonLine Charge SourcePotential Reference

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:015A globally $C^2$ potential with compactly supported charge

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Electrostatics And Distributions OF ChargeSpherical Poisson EquationInterface MatchingSurface Charge Audit

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:016A controlled monopole–dipole expansion from the Coulomb kernel

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Electrostatics And Distributions OF ChargeCoulomb Kernel ExpansionDipole AsymptoticsRemainder Estimate

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Theorem

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ED:017A Convention-Safe Traceless Quadrupole

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Electrostatics And Distributions OF ChargeCartesian MultipolesTraceless QuadrupoleFar Field Expansion

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:018Moving the Multipole Origin

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Electrostatics And Distributions OF ChargeOrigin TranslationMultipole MomentsNeutral Sources

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Theorem

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ED:019A Certified Tail Bound for a Localized Multipole Expansion

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Electrostatics And Distributions OF ChargeMultipole RemainderCompact Charge SupportError Certification

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Proof

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ED:020Origin-Shifted Ring: Axial Potential Through Quadrupole Order

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Electrostatics And Distributions OF ChargeDisplaced RingQuadrupole MomentAxial Asymptotics

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:021Two Gradients and One Dipole Force

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Electrostatics And Distributions OF ChargeDipole ForceTwo Charge LimitGradient Identity

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Proof

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ED:022The Aligned and Inverted Electric Rotor

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Electrostatics And Distributions OF ChargeDipole TorqueStability AnalysisSmall Oscillations

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:023Curvature Coupling of a Localized Quadrupole

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Electrostatics And Distributions OF ChargeMultipole ExpansionQuadrupole EnergyField Gradients

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:024Spherical Averages and Earnshaw’s Obstruction

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Electrostatics And Distributions OF ChargeEarnshaw TheoremLaplace EquationConstrained Stability

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Theorem

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ED:025The Half-Strength Potential of a Field-Seeking Particle

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Electrostatics And Distributions OF ChargeInduced DipolesDielectrophoretic ForcePolarization Energy

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:026From Pair Assembly to the All-Space Field Norm

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Electrostatics And Distributions OF ChargeElectrostatic EnergyIntegration BY PartsSelf Energy Divergence

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Theorem

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ED:027Two Routes to the Self-Energy of Spherical Charge Distributions

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Electrostatics And Distributions OF ChargeElectrostatic Self EnergySpherical DistributionsAssembly Versus Fields

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:028Electrostatic Pressure from Stress and Fixed-Charge Virtual Work

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Electrostatics And Distributions OF ChargeMaxwell StressElectrostatic PressureFixed Charge Variation

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:029Ensemble-Sensitive Pull in a Nonlinear Capacitor

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Electrostatics And Distributions OF ChargeVirtual WorkFixed VoltageNonlinear Capacitance

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Mixed review

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ED:030Gaussian Cores and the Finite Two-Body Remainder

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Electrostatics And Distributions OF ChargeGaussian ChargeSelf EnergyEnergy Regularization

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:031Dilation laws for a localized charge cloud

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Electrostatics And Distributions OF ChargeCharge DilationSelf Energy ScalingElectrostatic Expansion

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:032Virial balance and the missing Coulombic size scale

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Electrostatics And Distributions OF ChargeElectrostatic VirialHomogeneous ConfinementCoulomb Equilibrium

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Theorem

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ED:033Two Hidden Interiors Behind One Exterior Field

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Electrostatics And Distributions OF ChargeInverse ElectrostaticsLocalized SourcesMultipole Data

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:034Uniform Multipole Control Near a Nodal Direction

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Electrostatics And Distributions OF ChargeUniform AsymptoticsMultipole NodesRelative Error

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Proof

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ED:035The Missing Axial Mode in a Multipole Levitation Claim

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Electrostatics And Distributions OF ChargeEarnshaw AuditPermanent DipoleHessian Instability

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Concept & counterexample

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ED:036Silent Exterior, Singular Core

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Electrostatics And Distributions OF ChargeDistributional Gauss LawMultipole CancellationRenormalized Energy

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Mixed review

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ED:037An anisotropic point multipole and the migration of its quadrupole

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Electrostatics And Distributions OF ChargeDelta DerivativesQuadrupole TensorOrigin Shifts

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Mixed review

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ED:038Sparse angular tomography of dipole and quadrupole data

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Electrostatics And Distributions OF ChargeInverse MultipolesAngular SamplingNonuniqueness

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Mixed review

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ED:039Quadrupolar Work on a Volume-Preserving Conducting Shell

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Electrostatics And Distributions OF ChargeConductor CapacitanceMaxwell StressVirtual Work Ensembles

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Mixed review

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ED:040Neutral Point–Cloud Composite: Multipoles, Boundaries, and Renormalized Energy

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Electrostatics And Distributions OF ChargeNeutral MultipolesPoint Charge RegularizationBoundary Scaling Audit

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Mixed review

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ED:041Complete a guided Dirichlet uniqueness argument

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Boundary Value Problems And UniquenessDirichlet UniquenessEnergy IdentityBoundary Data

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Proof

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ED:042Check Neumann compatibility before solving

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Boundary Value Problems And UniquenessNeumann CompatibilityFlux BalancePotential Gauge

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Concept & counterexample

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ED:043One separated mode solves a rectangular Dirichlet problem

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Boundary Value Problems And UniquenessCartesian SeparationRectangular DirichletSingle Mode

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:044Use the half-plane Poisson kernel as a boundary-data filter

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Boundary Value Problems And UniquenessHalf Plane HarmonicFourier Boundary ModeEvanescent Static Mode

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:045Split a strip solution into a baseline and one correction mode

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Boundary Value Problems And UniquenessStrip SuperpositionBaseline CorrectionCorner Compatibility

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:046Compute the first coefficients of a square-cavity voltage step

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Boundary Value Problems And UniquenessSine CoefficientsSquare CavityBoundary Step

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:047Final A: a mixed Cartesian mode with a uniqueness check

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Boundary Value Problems And UniquenessMixed Cartesian BoundaryFinal A ModeUniqueness Check

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:048A regular cylindrical harmonic follows its boundary Fourier mode

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Boundary Value Problems And UniquenessCylindrical HarmonicAngular Fourier ModeAxis Regularity

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:049Match one Fourier mode across an annular cylinder

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Boundary Value Problems And UniquenessAnnular Fourier ModeRadial CoefficientsSolid Limit

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:050Normalize the first Fourier-Bessel mode in a finite cylinder

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Boundary Value Problems And UniquenessFourier BesselFinite CylinderMode Normalization

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargeCoulomb DivergencePoint Charge FluxDelta Normalization

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Concept & counterexample

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Electrostatics And Distributions OF ChargePoisson Source ReadingGaussian ChargePoint Smooth Split

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargeGauss EnclosureDisplaced SphereSingular Boundary

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Concept & counterexample

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Electrostatics And Distributions OF ChargeSource CodimensionEnergy CutoffLocal Integrability

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargeInterface JumpPillbox LoopSinusoidal Sheet

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Proof

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Electrostatics And Distributions OF ChargeCylindrical SymmetryGraded SleeveGaussian Surface Limit

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargeNeutral Core ShellRadial Gauss LawSurface Jump

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargeCoaxial PotentialFinite ReferencePiecewise Annulus

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargePlanar SlabParity PotentialThin Sheet Limit

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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Electrostatics And Distributions OF ChargeAnnular Coulomb IntegralGraded Surface ChargeFar Field Check

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:011Audit a polynomial potential against its claimed conducting boundary

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Electrostatics And Distributions OF ChargePoisson AuditBoundary CompatibilityPolynomial Potential

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:012A continuous radial potential can still hide volume and surface charge

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Electrostatics And Distributions OF ChargeRadial LaplacianHidden Surface ChargePiecewise Potential

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Concept & counterexample

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ED:013The charge hidden by a vanishing radial derivative

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Electrostatics And Distributions OF ChargeDistributional DivergencePoint Charge SourceGaussian Flux

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:014Axis and bulk sources encoded in a cylindrical potential

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Electrostatics And Distributions OF ChargeCylindrical PoissonLine Charge SourcePotential Reference

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:015A globally $C^2$ potential with compactly supported charge

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Electrostatics And Distributions OF ChargeSpherical Poisson EquationInterface MatchingSurface Charge Audit

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:016A controlled monopole–dipole expansion from the Coulomb kernel

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Electrostatics And Distributions OF ChargeCoulomb Kernel ExpansionDipole AsymptoticsRemainder Estimate

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Theorem

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ED:017A Convention-Safe Traceless Quadrupole

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Electrostatics And Distributions OF ChargeCartesian MultipolesTraceless QuadrupoleFar Field Expansion

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:018Moving the Multipole Origin

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Electrostatics And Distributions OF ChargeOrigin TranslationMultipole MomentsNeutral Sources

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Theorem

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ED:019A Certified Tail Bound for a Localized Multipole Expansion

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Electrostatics And Distributions OF ChargeMultipole RemainderCompact Charge SupportError Certification

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Proof

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ED:020Origin-Shifted Ring: Axial Potential Through Quadrupole Order

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Electrostatics And Distributions OF ChargeDisplaced RingQuadrupole MomentAxial Asymptotics

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:021Two Gradients and One Dipole Force

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Electrostatics And Distributions OF ChargeDipole ForceTwo Charge LimitGradient Identity

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Proof

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ED:022The Aligned and Inverted Electric Rotor

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Electrostatics And Distributions OF ChargeDipole TorqueStability AnalysisSmall Oscillations

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:023Curvature Coupling of a Localized Quadrupole

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Electrostatics And Distributions OF ChargeMultipole ExpansionQuadrupole EnergyField Gradients

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:024Spherical Averages and Earnshaw’s Obstruction

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Electrostatics And Distributions OF ChargeEarnshaw TheoremLaplace EquationConstrained Stability

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Theorem

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ED:025The Half-Strength Potential of a Field-Seeking Particle

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Electrostatics And Distributions OF ChargeInduced DipolesDielectrophoretic ForcePolarization Energy

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:026From Pair Assembly to the All-Space Field Norm

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Electrostatics And Distributions OF ChargeElectrostatic EnergyIntegration BY PartsSelf Energy Divergence

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Theorem

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ED:027Two Routes to the Self-Energy of Spherical Charge Distributions

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Electrostatics And Distributions OF ChargeElectrostatic Self EnergySpherical DistributionsAssembly Versus Fields

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:028Electrostatic Pressure from Stress and Fixed-Charge Virtual Work

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Electrostatics And Distributions OF ChargeMaxwell StressElectrostatic PressureFixed Charge Variation

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:029Ensemble-Sensitive Pull in a Nonlinear Capacitor

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Electrostatics And Distributions OF ChargeVirtual WorkFixed VoltageNonlinear Capacitance

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Mixed review

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ED:030Gaussian Cores and the Finite Two-Body Remainder

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Electrostatics And Distributions OF ChargeGaussian ChargeSelf EnergyEnergy Regularization

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:031Dilation laws for a localized charge cloud

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Electrostatics And Distributions OF ChargeCharge DilationSelf Energy ScalingElectrostatic Expansion

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:032Virial balance and the missing Coulombic size scale

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Electrostatics And Distributions OF ChargeElectrostatic VirialHomogeneous ConfinementCoulomb Equilibrium

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Theorem

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ED:033Two Hidden Interiors Behind One Exterior Field

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Electrostatics And Distributions OF ChargeInverse ElectrostaticsLocalized SourcesMultipole Data

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Calculation

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ED:034Uniform Multipole Control Near a Nodal Direction

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Electrostatics And Distributions OF ChargeUniform AsymptoticsMultipole NodesRelative Error

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Proof

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ED:035The Missing Axial Mode in a Multipole Levitation Claim

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Electrostatics And Distributions OF ChargeEarnshaw AuditPermanent DipoleHessian Instability

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Concept & counterexample

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ED:036Silent Exterior, Singular Core

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Electrostatics And Distributions OF ChargeDistributional Gauss LawMultipole CancellationRenormalized Energy

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Mixed review

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ED:037An anisotropic point multipole and the migration of its quadrupole

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Electrostatics And Distributions OF ChargeDelta DerivativesQuadrupole TensorOrigin Shifts

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Mixed review

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ED:038Sparse angular tomography of dipole and quadrupole data

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Electrostatics And Distributions OF ChargeInverse MultipolesAngular SamplingNonuniqueness

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Mixed review

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ED:039Quadrupolar Work on a Volume-Preserving Conducting Shell

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Electrostatics And Distributions OF ChargeConductor CapacitanceMaxwell StressVirtual Work Ensembles

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Mixed review

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ED:040Neutral Point–Cloud Composite: Multipoles, Boundaries, and Renormalized Energy

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Electrostatics And Distributions OF ChargeNeutral MultipolesPoint Charge RegularizationBoundary Scaling Audit

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Electrostatics and distributions of chargeElectromagnetism / Electrodynamics I · Mixed review

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ED:041Complete a guided Dirichlet uniqueness argument

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Boundary Value Problems And UniquenessDirichlet UniquenessEnergy IdentityBoundary Data

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Proof

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ED:042Check Neumann compatibility before solving

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Boundary Value Problems And UniquenessNeumann CompatibilityFlux BalancePotential Gauge

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Concept & counterexample

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ED:043One separated mode solves a rectangular Dirichlet problem

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Boundary Value Problems And UniquenessCartesian SeparationRectangular DirichletSingle Mode

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:044Use the half-plane Poisson kernel as a boundary-data filter

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Boundary Value Problems And UniquenessHalf Plane HarmonicFourier Boundary ModeEvanescent Static Mode

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:045Split a strip solution into a baseline and one correction mode

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Boundary Value Problems And UniquenessStrip SuperpositionBaseline CorrectionCorner Compatibility

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:046Compute the first coefficients of a square-cavity voltage step

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Boundary Value Problems And UniquenessSine CoefficientsSquare CavityBoundary Step

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:047Final A: a mixed Cartesian mode with a uniqueness check

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Boundary Value Problems And UniquenessMixed Cartesian BoundaryFinal A ModeUniqueness Check

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:048A regular cylindrical harmonic follows its boundary Fourier mode

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Boundary Value Problems And UniquenessCylindrical HarmonicAngular Fourier ModeAxis Regularity

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:049Match one Fourier mode across an annular cylinder

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Boundary Value Problems And UniquenessAnnular Fourier ModeRadial CoefficientsSolid Limit

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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ED:050Normalize the first Fourier-Bessel mode in a finite cylinder

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Boundary Value Problems And UniquenessFourier BesselFinite CylinderMode Normalization

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Boundary-value problems and uniquenessElectromagnetism / Electrodynamics I · Calculation

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Problem results

ED:001Use the supplied Coulomb divergence identity without losing its normalization

ED:002Read point and smooth charge directly from a guided potential

ED:003Classify displaced-sphere flux by enclosure, not surface appearance

ED:004A guided table of point, line, and sheet singularities

ED:005Separate normal and tangential interface conditions at a charged sheet

ED:006Gauss law works only after a symmetry audit of a graded sleeve

ED:007Neutralize a graded sphere with one charged skin

ED:008Reference a charged cylindrical annulus to a finite grounded wall

ED:009Build an even slab field before integrating its potential

ED:010Integrate a graded annulus on its symmetry axis

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Problem results

ED:001Use the supplied Coulomb divergence identity without losing its normalization

ED:002Read point and smooth charge directly from a guided potential

ED:003Classify displaced-sphere flux by enclosure, not surface appearance

ED:004A guided table of point, line, and sheet singularities

ED:005Separate normal and tangential interface conditions at a charged sheet

ED:006Gauss law works only after a symmetry audit of a graded sleeve

ED:007Neutralize a graded sphere with one charged skin

ED:008Reference a charged cylindrical annulus to a finite grounded wall

ED:009Build an even slab field before integrating its potential

ED:010Integrate a graded annulus on its symmetry axis