In the figure, three thin plastic rods form quarter-circles with a common center

Question

In the figure, three thin plastic rods form quarter-circles with a common center of curvature at the origin. The uniform charges on the rods are Q1 = +54 nC, Q2 = 3.0 Q1, and Q3 = -8.0 Q1. What is the net electric potential at the origin due to the rods?
V

In the figure, three thin plastic rods form quarter-circles with a common center of curvature at the origin. The uniform charges on the rods are Q1 = +54 nC, Q2 = 3.0 Q1, and Q3 = -8.0 Q1. What is the net electric potential at the origin due to the rods? V

Explanation / Answer

we know that
V = k Q / r

Therefore
V = k [ Q1 / r1 + Q2/r2 + Q3/r3 ]
= 9 x 10^9 [ 54 x 10^-9 / 1.0 x 10^-2+ 3 * 54 x 10^-9 / 2.0 x 10^-2- 8 * 54 x 10^-9 / 4.0 x 10^-2 ]

= 243 x 10^2
=24300 V

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