Answer to Question #185215 in Field Theory for Esmail

Question

What is the electric flux through the disk of radius r = 0.1m if the uniform electric field has

a magnitude E = 2x103 N/C? What is the flux when the disk is perpendicular to the E? What is the flux when the disk is parallel to the E?

Answer 1

$$\Phi=\pi r^2E\cos{\alpha}$$

1)

$$\Phi=\pi (0.1)^2(2000)\cos{0}=62.8\ Vm$$

2)

$$\Phi=\pi (0.1)^2(2000)\cos{90}=0\ Vm$$