AP Physics C E and M 8.2: Conservation of Charge

Describe conservation of electric charge in an isolated system while charge moves between objects or regions during an interaction.

[Maximum number: 1]

A very long nonconducting cylinder is surrounded by a thin concentric conducting cylindrical shell, as shown in the cutout view. A segment of length L of the inner cylinder has a net charge of +Q uniformly distributed throughout its volume. A segment of length L of the outer shell has a net charge of +4 Q. The radii of the inner cylinder and outer shell are R and 3 R, respectively, as shown in the cross-section view.

Determine the charge on the outer surface of the cylindrical shell within length L.

For correctly determining the charge on the outer surface of the shell 1 point

Example Response

\begin{aligned} & q_{\text {net }}=q_{\text {inner }}+q_{\text {outer }} \\ & q_{\text {outer }}=q_{\text {net }}-q_{\text {inner }} \\ & q_{\text {outer }}=+4 Q-(-Q) \\ & q_{\text {outer }}=+5 Q \end{aligned}

Scoring Note: A correct response may earn a point even if no work is shown.

Total for part (a)

1 point

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8.2.A—Describe the behavior of a system using conservation of charge question 1