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Consider a slab of charge of thickness d centered on the x axis. The slab has in

ID: 1320904 • Letter: C

Question

Consider a slab of charge of thickness d centered on the x axis. The slab has infinite extent in the y and z direction. The charge density is not uniform inside the slab. For -d/2 <(or equal) x < 0 the charge density is p(x) = p0(x + d/2 ) and for 0 <(or equal) x <(or equal) d/2 , p = p0( d/2 - x). There is no charge outside of the slab. Give your answers to the following questions in terms of p0,d,epsilon0 and x.

What is the electric field in the x direction at x = 0

and in the x direction for 0 <(or equal) x < d/2 ?

Picture: http://postimg.org/image/sb5cylak5/a7b57815/

Explanation / Answer

Use Gauss