Answer to Question #187311 in Electric Circuits for Erelah

Question

Charge 1 C is distributed uniformly throughout a spherical insulating shell. The net electric flux in N·m2 /C through the outer surface of the shell is:

Answer 1

Explanations & Calculations

• Since the sphere is an insulating one, the charge is distributed though out the entire volume.
• And, when seen from a point outside the border of the sphere, the sphere can be considered as a point charge.
• Then if we consider an area (a Gaussian surface) just outside the sphere, we see that the entire charge of 1C is contained within that region as a point charge.
• Then simply using the Gaussian method, the flux can be calculated.
• Therefore,

$\qquad\qquad \begin{aligned} \small \phi&=\small \frac{\Sigma q}{\epsilon_0}\\ &=\small \frac{1C}{8.852\times10^{-12}C^2N^{-1}m^{-2}}\\ &=\small \bold{1.129\times10^{11}\,Nm^2C^{-1}} \end{aligned}$