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Question

Question: The work done in carrying a charge q once round a circle of radius a with a charge Q at its centre i...

The work done in carrying a charge q once round a circle of radius a with a charge Q at its centre is.

A

qQ4πε0a\frac{qQ}{4\pi\varepsilon_{0}a}

B

qQ4πε0a2\frac{qQ}{4\pi\varepsilon_{0}a^{2}}

C

q4πε0a\frac{q}{4\pi\varepsilon_{0}a}

D

Zero (“kwU;)

Answer

Zero (“kwU;)

Explanation

Solution

: The electric potential at any point on circle of radius a due to charge Q at its centre is

V=14πε0QaV = \frac{1}{4\pi\varepsilon_{0}}\frac{Q}{a}

It is an equipotential surface. Hence, work done in carrying a charge q round the circle is zero.