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 of two isolated spherical conductors is given by $C=k\frac{4\pi R_1 R_2}{R_1+R_2}$, where $k$ is the Coulomb constant. Substituting $R₁$ for $R_1$ and $R₂$ for $R_2$, we get $C=k\frac{4\pi R₁ R₂}{R₁+ R₂}$. Now we can see that the capacitance is proportional to $\frac{R₁ R₂}{R₁ - R₂}$. Therefore, the correct choice is A.

Two Conducting Spheres Have Radii of R1 and R2 with R1

Two Conducting Spheres Have Radii of R₁ and R₂ with R₁