Answer to Question #306752 in Electricity and Magnetism for Mark justine

Question

A cube with sides measuring 5cm is place in an electric field with magnitude 3x10^3 N/C.

a. Calculate the flux in each side of the six face of the cube.

b. Calculate the total flux of the cube

Answer 1

(A)

Electric flux

$\phi=E.A=EAcos\theta$

$\phi=E\times a^2 cos0°$

$$\phi=3\times10^3\times25\times10^{-4}=7.5Nm^2/C$$

(B)

Net flux

$$\phi_{net}=\phi_1+\phi_2+\phi_3+\phi_4+\phi_5+\phi_6$$

$\phi_{net}=0Nm^2/C$