Question

If the electric field is given by `vec(E) = 8 hat(i) + 4 hat(j) + 3 hat(k) NC^(-1)`, calculate the electric flux through a surface of area `100 m^(2)` lying in X-Y plane.

Answer 1

Correct Answer - `300 Nm^(2) C^(-1)`
`vec(E) = 8 hat(i) + 4 hat(j) + 3 hat(k) NC^(-1), vec(S) = 100 hat(k) m^(2)`
`phi_(E) = vec(E). Vec(S) = (8 hat(i) + 4 hat(j) + 3 hat(k)) - (100 hat(k))`
`= 300 Nm^(2) C^(-1)`