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Q.

Two isolated conducting spheres each of radius R and carrying charges Q and 2Q. They are connected by a wire. Find the amount of heat produced during the transfer of charge from one sphere to other sphere

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a

kQ2/2R

b

kQ2/R

c

kQ2/4R

d

2kQ2/4R

answer is A.

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Detailed Solution

Initial energy : U1=Q22C+(2Q)22C=5Q22C

Final energy : U2=2(3Q/2)22C=9Q24C

Heat produced =U1−U2=5Q22C−9Q24C

=Q24C=Q24×4πε0R=kQ24R

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