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Q.

Two charges q1 and q2 are placed 30 cm apart, as shown in Fig. 2.135. 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 I of the system is q34πε0k, where k is :

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a

8q2

b

6q2

c

8q1

d

6q1

answer is A.

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Detailed Solution

U1=14πε0q1q3(0.4)+q1q2(0.3)+q2q3(0.5) U2=14πε0q1q3(0.4)+q1q2(0.3)+q2q3(0.1)⇒∆U=U2-U1=14πε0q2q310.1-10.5 =q34πε0(8q2)⇒k=8q2

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Two charges q1 and q2 are placed 30 cm apart, as shown in Fig. 2.135. 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 I of the system is q34πε0k, where k is :