(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The gap between a pair of parallel infinite copper plates extends from z = 0 to z = W > 0 and is originally occupied by vacuum (ε_{0}, μ_{0}). The plates carry equal and oppositely signed surface charge densities and as a consequence we have a constant electric field E = −4ˆz V/m in vacuum in the gap region.

What would be the new equilibrium values of E, D, and P in the gap region if some amount

of salt were dissolved in the fluid in the gap (64ε_{0}) to raise its conductivity to σ = 4 S/m (conductivity of sea water)?

State the values of E, D, and P after a steady-state equilibrium is reached and briey explain your answer.

2. Relevant equations

D=εE=ε_{0}*E+_{0}P

P=polarization vector

3. The attempt at a solution

I have the equationJ= σE, but I do not know how to relate this to D and P, since I am not givenJin the problem

Thanks!!!

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# Given conductivity, calculate E, D, and P vectors

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