The electric field in a region is

PHYSICS · Multi-part · AP · Physics C: Electricity and Magnetism · Electric Charges Fields and Gauss's Law · Electric Charges Fields and Gauss's Law

Problem

\mathbf{E}=\alpha x\hat{i}

, where

\alpha

is a constant of appropriate dimensions. Find: (a) The total flux passing through a cube bounded by

x=l

x=2l

y=0

y=l

z=0

, and

z=l

. (b) The charge contained inside the cube.