A solid non conducting sphere of radius 1m carries a total charge of 10 C which is uniformly distributed throughout the sphere. Determine the charge density of the sphere.
A. 10 C/m3
B. 4.76 C/m3
C. 0.1 C/m3
D. 2.38 C/m3
Answer:D
A solid non conducting sphere of radius 1m carries a total charge of 10 C which is uniformly distributed throughout the sphere. Determine the charge density of the sphere.
A. 10 C/m3 B. 4.76 C/m3 C. 0.1 C/m3 D. 2.38 C/m3
Explanation: Volume of the sphere = \(\frac {4}{3}\)πr3 where r is the radius of the sphere. Therefore, the charge density = \(\frac {total \, charge}{\frac {4}{3}\pi r^3}\). Now substituting the values, charge density = \(\frac {10}{\frac {4}{3}\pi r^3}\) = 2.38 C/m3. But if the sphere is conducting, we have to consider the surface charge density.