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Find the ratio of electric work done in ...

Find the ratio of electric work done in bringing a charge `q` from `A` to `B(W_(AB))` and that from `B` to `C(W_(BC))` in a sphere of charge `Q` distributed uniformly throughout its volume.

A

1

B

1.5

C

0.75

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`W_(AB)=q(V_(A)-V_(B))=q[(3Q)/(8piepsilon_(0)R)-(Q)/(4piepsilon_(0)R)]=(Qq)/(8pi_(0)R)`
`W_(BC)=q(V_(B)-V_(C))=q[(Q)/(4piepsilon_(0)R)-(Q)/(8piepsilon_(0)R)]=(Qq)/(8pi_(0)R)`
`therefore (W_(AB))/(W_(BC))=1`
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