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

Question

Quizplus · Accepted Answer

The charge on a conducting sphere is given by the formula Q = 4πε₀RV, where ε₀ is the permittivity of free space (8.85 × 10^-12 C^2/N·m^2), R is the radius of the sphere, and V is the potential. Substituting the given values (R = 0.2 m, V = 10^6 V), we find Q = 4π(8.85 × 10^-12)(0.2)(10^6) ≈ 22 × 10^-6 C = 22 μC.

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