Question

An implication of the continuity equation of conductors is given by

(a) J = σ E

(b) J = E/σ

(c) J = σ/E

(d) J = jwEσ

This question was posed to me during an internship interview.

Question is taken from Maxwell Law 2 topic in section Maxwell Equations of Electromagnetic Theory

Answer 1

Correct answer is (a) J = σ E

The explanation: The continuity equation indicates the current density in conductors. This is the product of the conductivity of the conductor and the electric field subjected to it. Thus J = σE is the implication of the continuity equation for conductors.