# Potential of Infinite Sheets of Charge and Conducting Slab

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1. Jan 26, 2017

### marchcha

1. The problem statement, all variables and given/known data
An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity σ1 = 0.39 μC/m2. Another infinite sheet of charge with uniform charge density σ2 = -0.15 μC/m2 is located at x = c = 30 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 13 cm and x = 17 cm). What is σa, the charge density on the surface of the conducting slab at x = 13 cm?

2. Relevant equations

3. The attempt at a solution
I know the electric field in the slab is zero, but I do not know how to find the charge density on the surface of the slab in this instance. Thanks for the help in advance!

2. Jan 26, 2017

### BvU

Would it matter if the conducting slab was 2000 cm thick instead of 2 cm (with of course the same distance between b and c) ?

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