AP® Physics C: E & M

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Capacitance: Spherical Capacitor

APPHEM-LTQIF$

Created for Albert.io. Copyright 2016. All rights reserved.

A metallic sphere of radius $R_1$ and charge $+Q$ is nested inside a metallic spherical shell that has radius $R_2$ and charge $–Q$.

Which of the following changes will increase the capacitance of the system?

I: Increase the magnitude of the charge, $Q$.
II: Increase $R_2$ while leaving $R_1$ fixed.
III: Increase $R_1$ while leaving $R_2$ fixed.
IV: Increase both $R_1$ and $R_2$ while leaving the difference in radii, $R_2-R_1$, fixed.

A

I only

B

II only

C

III only

D

III and IV only

E

II, III, and IV only