Question

1. A flat rectangular plate of dimensions 0.04 x 0.06 m^2 makes an angle of 37 degre with a field electric E = - 600 j N/C. 
Calculate the electrical flux passing through the plate.

2. Let be a cylindrical rod of radius R and infinitely long carrying a uniform charge and a volume density of ρ. Using Gauss's theorem, show that the modulus of the electric field has a distance r from the cylinder axis is given by E (r) = ρr / (2ε0).

Answer 1

1) Plate area, A= 0.04*0.06 m^2

Electric field, -600j N/C

This, magnitude of the electric field, E= 600 N/C

The angle is 37 degree.

Thus, the electrical flux through the plate,