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Two charges q1 and q2 are placed 30 cm apart, as shown in the figure. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is q34πε0k, where k is

a
8q2
b
8q1
c
6q2
d
6q1

detailed solution

Correct option is A

u1=14πε0q1q230 x 10-2+q1q340 x 10-2+q2q350 x 10-2u2=14πε0q1q230 x 10-2+q1q340 x 10-2+q2q310 x 10-2∆u=u2-u1=q2q34πε0 x 102110-150 =q2q34πε0 x 450 x 100=q34πε08q2   ∴k=8q2

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