Two charges q1 and q2 are placed 30 cm apart, 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
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a
8 q2
b
8 q1
c
6 q2
d
6 q1
answer is A.
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Detailed Solution
Change in potential energy (ΔU)=Uf−Ui⇒ΔU=14πε0q1q30.4+q2q30.1−q1q30.4+q2q30.5⇒ΔU=14πε08q2q3=q34πε08q2∴k=8q2