?

AP® Physics C: E & M

Free Version

Upgrade subject to access all content

Moderate

Change in Capacitance

APPHEM-KN13CA

An air-filled capacitor has a capacitance of $C^{\circ}$. Then a dielectric with a dielectric constant of 3.0 is inserted into it and the plates are pushed toward each other so that the distance between the plates is reduced to $\frac{1}{2}$ the original value.

What is the new capacitance?

A

$\cfrac{1}{6}C^{\circ}$

B

$\cfrac{2}{3}C^{\circ}$

C

$\cfrac{3}{2}C^{\circ}$

D

$6\;C^{\circ}$

E

$\cfrac{7}{2}C^{\circ}$