A square surface of side L meter in the plane of the paper is placed in a uniform electric field E (volt/m) acting along the same plane at an angle θ with the horizontal side of the square as shown in Figure. The electric flux linked to the surface, in units of volt. m, is ?

A square surface of side L meter in the plane of the paper is placed in a uniform electric field E (volt/m) acting along the same plane at an angle θ with the horizontal side of the square as shown in Figure. The electric flux linked to the surface, in units of volt. m, is ?

(a) \( E L^2 \)

(b) \( E L^2 \cos \theta \)

(c) \( E L^2 \sin \theta \)

(d) zero

Answer :  (d) zero

\( \vec{A} \perp \text{ to paper} \)

\( \Phi = \vec{E} \cdot \vec{A} \)

\( \quad = EA \cos 90^\circ \)

\( \quad = 0 \)