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Problem

Circuits I

Ohm's law with a negative voltage

A resistor $R=1.5\,\mathrm{k}\Omega$ is connected between node a and node b. The voltage $v_{ab}$ is defined with the plus sign at a and the minus sign at b, and $v_{ab}=-6\,\mathrm{V}$ . The current $i$ is defined to enter the resistor at a and leave at b.

Using Ohm's law with these references, determine $i$ . Compute the power absorbed by the resistor from $p=v_{ab}i$ . Then confirm that this is consistent with $p=i^2 R$ and with $p=v_{ab}^2/R$ .

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Your answer

Current

i

mA

Power absorbed

p

mW

Type / for a fraction, ^ for a power, sqrt for a root, pi for π.

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