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AP® Physics C: E & M

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Opposite Charges on a Square

APPHEM-FFHR4X

Four identical charges of charge ${q}$ are placed at the corners of a square of sides r as shown above.

Find the magnitude of the net force acting on a charge of magnitude ${q}$ placed in the center of the square.

A

${0}$

B

${\cfrac{\sqrt{2}kq^2}{r^2}}$

C

${\cfrac{2kq^2}{r^2}}$

D

${\cfrac{4kq^2}{r^2}}$

E

${\cfrac{4\sqrt{2}kq^2}{r^2}}$