6.1 Exercise 12

A square surface of area $2 \text{cm}^{2}$ is in a space of uniform electric field of magnitude $10^{3} \text{N}/\text{C}$. The amount of flux through it depends on how the square is oriented relative to the direction of the electric field. Find the electric flux through the square, when the normal to it makes the following angles with electric field: (a) $30 °$, (b) $90 °$, and (c) $0 °$. Note that these angles can also be given as $180 ° + \theta$.