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Electricity and Magnetism

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Length of a Line of Charge: Field Point Along the Edge

EANDM-PS7L1K

Figure 1 depicts a line of charge of length $l$, upon which a linear charge density of $\lambda = 3.67$ nC/m has been placed.

Figure 1. Timothy Black. Created for Albert.io. Copyright 2016. All rights reserved.

A field point $P$ exists a distance $z$ from the left edge of the line of charge. Figure 2 shows the electric potential $V$ at the field point as a function of the line length $z$.

Figure 2. Timothy Black. Created for Albert.io. Copyright 2016. All rights reserved.

What is the length $l$ of the line of charge?

A

$l = 17.0 \text{ cm}$

B

$l = 11.0 \text{ cm}$

C

$l = 6.00 \text{ cm}$

D

$l = 5.00 \text{ cm}$