Question

The work done in carrying a charge Q once around a circle of radius r about a charge q at the
centre is

Answer 1

work done in carrying charge Q once around a circle of radius r about charge q placed at centre is zero.

we know as well, workdone is the dot product of force and displacement.

here, force between Q and q , F= KqQ/r²

but displacement = 0

[ we know, displacement is the minimum seperation between final position to initial position. here, if a particle start from point A on circle, finally reaches on that point B once again. so, displacement = 0 ]

so, workdone = F × 0 = 0

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Answer 2

$\huge\bold\purple{Answer:-}$

Final Answer : 0

Understanding :

1) We observe the motion of charge as shown in pic .

2) As we see, we get that Force is perpendicular to direction of displacement.

3) Hence, There is no contribution of work by the force on motion of this charge particle .