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Q.

Find the ratio of electric work done in bringing a charge q from A to B  (WAB) and then from B to C (WBC)in a sphere of charge Q distributed uniformly throughout its volume. (WAB/WBC=?)

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a

1

b

1.5

c

0.75

d

None of these

answer is A.

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Detailed Solution

Work done by electric field WAB=q(VA−VB)=q[3Q8πε0R−Q4πε0R]=Qq8πε0RWBC=q(VB−VA)=q[Q4πε0R−Q8πε0R]=Qq8πε0R∴WABWBC=1
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