Question

The purpose of this problem is to see, roughly, how fast the electric field inside a conductor reaches zero (i.e., electrostatic equilibrium) if the conductor is placed in an electric field. a) Use ? = ??⃗ , where ? is the conductivity of the conductor, Gauss’s law ?⃗ ∙ ?⃗ = ?/?0 , and the continuity equation ?⃗ ∙ ? + ?? ?? = 0, to show that ??⃗ ?? = −(?????)?⃗ b) Determine the time constant c) Find the time constant if ? = 107 /Ω? d) How long does it take the electric field inside the conductor to reach 1/10000 of its initial value?

Answer 1