The capacitance of a spherical capacitor with inner radius a and outer radius b is proportional to: A) a/b B) b - a C) b² - a² D) ab/(b - a) E) ab/(b² - a²)

Question

Quizplus · Accepted Answer

The capacitance of a spherical capacitor is given by the formula C = 4πε₀ab/(b - a), where ε₀ is the permittivity of free space, a is the inner radius, and b is the outer radius. This formula simplifies to a form that is proportional to ab/(b - a), which matches choice D.

The Capacitance of a Spherical Capacitor with Inner Radius a and Outer