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AP® Physics C: E & M

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$Q_{enc}$ Cylinder 1

APPHEM-F3YBXB

The diagram shows a very long, thin line that carries a charge per unit length $\lambda$. A Gaussian cylinder is imagined with its axis along the line and having radius $a$. The length of the Gaussian cylinder is $L$.

How much charge is enclosed in this cylinder?

A

$Q_{enc} = 2\pi \lambda aL$

B

$Q_{enc} = \pi \lambda aL$

C

$Q_{enc} = \lambda L$

D

$Q_{enc} = \pi \lambda a^2L$

E

$Q_{enc} = 2\pi \lambda a^2L$