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

Question

Three point charges

and

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

Three point charges q1, q2, and q3 are situated at three corners of a rectangle as shown in the diagram below. Here q1 = +5.00 muC, q2 = ?5.00 muC, q3 = +7.00 muC. What is the electric potential at the free corner where there is no charge? 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

Potential due to a point charge=Q/4pie0 r

Hence at the fourth corner,it is= (5/2.5 -5/5.59 + 7/5)/4pie0=2.18 x 10^6V

Now for the V at the centre to be zero,the value of the fourth chsrge should be:

0= 5-5+7+x,Since all charges are at same distance fro the centre,so value of fourth charge should be -7uC

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