Two conducting spheres have radii of R₁ and R₂ with R₁ greater than R₂. If they are far apart the capacitance is proportional to: A) R₁R₂/(R₁ - R₂) C) (R₁ - R₂)/R₁R₂ E) none of these

Question

Quizplus · Accepted Answer

The capacitance between two conducting spheres is given by the formula C = 4πε₀(R1R2)/(R1 + R2), where R1 and R2 are the radii of the spheres and ε₀ is the permittivity of free space. Rearranging, we get C = 4πε₀(R1R2)/(R1 - R2) for the case where the spheres are far apart. Substituting the given values, we get C ∝ (R₁)(R₂)/(R₁ - R₂), which matches option A.

Two Conducting Spheres Have Radii of R1 and R2 with R1

Two Conducting Spheres Have Radii of R₁ and R₂ with R₁