Hand written solution required

4. The figure below on the left shows a planar surface of area A. The surface rotates around the y-axis with constant angular velocity w = 1.0 rad/s. A time-dependent electric field given by E(t) = Eosin(wf) k is directed upwards in the +2 direction. En is a constant. Electric field N time [seconds] W Area W E(t) = Eosin(wt) k time (seconds] The electric field is turned on at f = 0 when the planar surface lies on the ay plane. The figure above on the right shows how the electric field E and area A vary with time for the first three turns. (a) What's the maximum magnitude of the electric flux that flows across the planar surface? (1 point) (b) Determine the instances of time of maximum magnitude occurrence of the electric flux across the planar surface within the time interval corresponding to its first three turns. (2 points) (c) Make a graph of the electric flux across the planar surface in a time range covering its first three rotations of the planar surface. (extra 1 point)