Point charges q1=+2.00C and q2=2.00C are placed at adjacent corners of a square

Question

Point charges q1=+2.00C and q2=2.00C are placed at adjacent corners of a square for which the length of each side is 4.50 cm . Point a is at the center of the square, and point b is at the empty corner closest to q2. Take the electric potential to be zero at a distance far from both charges.

Part A

What is the electric potential at point a due to q1 and q2?

Express your answer with the appropriate units.

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Part B

What is the electric potential at point b?

Express your answer with the appropriate units.

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Part C

A point charge q3 = -2.00 C moves from point a to point b. How much work is done on q3 by the electric forces exerted by q1 and q2?

Express your answer with the appropriate units.

Explanation / Answer

  (a) the potential is zero at the center since the two equal-magnitude and oppositely charged particles are equidistant.

(b) potential = kQ/r = 8.99e9N·m²/C² * 2.00µC * (1/2m - 1) / 0.0450m
potential = -117027.11 V

(c) work = charge * potential
work = -2.00µC * -117027.11V = 0.2340 J

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