Physics

Problem

The electric field in a region is given by

\vec{E} = \alpha y \hat{i}

. Here

\alpha

is a constant of proper dimensions. Find the total flux passing through a cube bounded by the surfaces,

x = l

x = 2l

y = 0

y = l

z = 0

z = l

. (a)

6\alpha l^2

(b)

\alpha l^3

(c)

3\alpha l^3

(d) zero