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In figure below a charge Q is fixed. Ano...

In figure below a charge Q is fixed. Another charge q is moved along a circular arc MN of radius r around it, from the point M to the point N such that the length of the arc MN = 1. The work done in this process is :
 

A

Zero

B

`I/(4 pi epsilon_0) cdot (Qq)/(r^2) l`

C

`(Qq)/(2epsilon_0r^2)l`

D

`(Qq)/(2pi epsilon_0 r^2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Since the points M and N are at equal distances from point Q, so these will have samn potential.
`V_M = V_N = 1/(4 pi epsilon_0) q/r`
`therefore V_M - V_N = 0`
The work done in this process.
`W = (V_M - V_N) q = 0`
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