The electric field in a region is given by `E=ahati+bhatj`. Hence as and b are constants. Find the net flux passing through a square area of side `I` parallel to y-z plane.

Options

A. `a^(2)l^(2)`
B. `al^(2)`
C. `b^(2)l^(2)`
D. `bl^(2)`

Answer

B

Explanation

A square area of side l parallel to y-z plane in vector form can be written as `vec(S) = l^(2)hat(i)`
Given, `vec(E) = a hat(i) + b hat(j)`
`:.` Electric flux passing through the given area will be
`phi_(E) = vec(E).vec(S) = (a hat(i) + b hat(j)).(l^(2)hat(i)) = a l^(2)`