An infinite plane slab, of thickness 2d, carries a uniform volume charge density
ID: 1429696 • Letter: A
Question
An infinite plane slab, of thickness 2d, carries a uniform volume charge density rho. The electric field a function of y alone, E(x, y, z) = E(y). Is there any place where the electric field vanishes? (If So, where?) Is there any region where the electric field is constant? (if so, where?) It turns out that E(y) within the charged slab is a linear function of y. Use this fact, and again, thoughts about the force a test charge would see as you change its position, to make a qualitative sketch of V(y).Explanation / Answer
electric field due to infinite slab
E(y) = py/Eo v/m
where p is volume charge density
a) electric field is zero at y=0 that is at centre.
b) electric field is constant for |y|>d