Three point charges q 1 , q 2 , and q 3 are situated at three corners of a recta

Question

Three point charges q1, q2, and q3 are situated at three corners of a rectangle as shown in the diagram below. Here q1 = +8.00

Three point charges q1, q2, and q3 are situated at three corners of a rectangle as shown in the diagram below. Here q1 = +8.00 mu C, q2 = ?8.00 muC, q3 = +5.00 mu C. 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

a)

V1=kq1/r1

=9*10^9*8*10^-6/0.025=2880*10^3 volt

v2=kq2/r2

=9*10^9*-8*10^-6/sqrt(25+6.25)=-1288*10^3 volt

v3=kq3/r3

=9*10^9*5*10^-6/0.05=900*10^3 volt

Vnet =v1-v2+v3

=2492*10^3 volts ...is answer

b)

let q4 is charge at free corner

from each corner the distance between corner to center is equal

hence

Vnet=V1+V2+v3+v4=0

===> q1+q2+q3+q4=0

8-8+5+q4=0

q4=-5 uC..... is answer

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