AP® Physics C: E & M

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Moderate

Charges on a Triangle

APPHEM-BGBLT3

Two identical charges , $\mathrm{q_1}$ are placed at the vertices of a right triangle as shown above.

If a third charge $\mathrm{q_2}$ is placed at the vertex of angle formed by the two legs, what is the magnitude of the net electrostatic force acting on $\mathrm{q_2}$?

A

$\mathrm{\cfrac{2kq_1 q_2}{5}}$

B

$\mathrm{\cfrac{5kq_1 q_2}{4}}$

C

$\mathrm{\cfrac{\sqrt{17}kq_1 q_2}{4}}$

D

$\mathrm{\cfrac{17kq_1 q_2}{4}}$

E

$\mathrm{\cfrac{5kq_1 q_2 ^2}{4}}$