Question

Solve the problem and show the complete solution.

The following charges are located inside an amphibious vehicle: 5.00 µC, -9.00 µC, 27 µC, and -84.0 µC. (1 microcoulomb µC = 10-6 Coulombs) (Permittivity of free space εo = 8.85x10-12 C2 / N.m2 ) a. What is the net Φ through the hull of the vehicle? b. Is the number of electric field lines leaving the vehicle greater than, equal to, or less than the number entering it?

Answer 1

a)

$$\Phi=\frac{Q}{\epsilon_0}\\\Phi=\frac{(5-9+27-84)\cdot10^{-6}}{8.85\cdot10^{-12}}=-6.89\cdot10^{6}Wb$$

b) Since the net electric flux is negative, more lines enter than leave the surface.