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Three point charges and are situated at three corners of a rectangle as shown in

ID: 2279609 • Letter: T

Question

Three point charges

and

are situated at three corners of a rectangle as shown in the diagram below...


I can't figure out what I'm doing wrong because it won't accept my answer. Please help.

Three point charges q 1, q 2, and q 3 are situated at three corners of a rectangle as shown in the diagram below. Here q 1 = +3.00umC, q 2 = -3.00umC, q 3 = +8.00 mu C. (a) What is the electric potential at the free corner where there is no charge? (b) What charge should be placed at the free corner for the electric potential at the center of the rectangle to be zero? Include both magnitude and sign if applicable.

Explanation / Answer

a) Potential in the free corner = kq1/0.025 + kq3/0.05 + kq2 / length of diagonal


length of diagonal = sqrt(0.025^2 +0.05^2) = 3.125X10^-3 m


Potential in the free corner = 2.26334 X 10^-4 Volts


b)


lenght of half of diagonal = 3.125/2 X 10^-3 m =1.56 X 10^-3


Net potential at center after placing a Q charge on the fourth corner is zero


(kq1 + kq3 + kq2+kQ)/(1.56X10^03) = 0


Q = -q1-q2-q3 = -8 muC

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