A conducting sphere of radius 20 cm is charged to a potential of 1.0 $\times$ 10⁶ volts.What is the charge on its surface?

Question

Quizplus · Accepted Answer

The charge on the surface of a conducting sphere is given by Q = CV, where C is the capacitance of the sphere and V is the potential. The capacitance of a sphere is given by C = 4πε₀r, where ε₀ is the permittivity of free space and r is the radius of the sphere. Substituting these values into the first equation, we get Q = 4πε₀rV = (4π)(8.85 × 10^-12 F/m)(0.2 m)(1.0 × 10^6 V) = 22.0 μC.

A Conducting Sphere of Radius 20 Cm Is Charged to a Potential