Question

Some work is done to move a charge Q from infinity to a point A in space. The

potential of the point A is given as V. What is the work done to move this

charge from infinity in terms of Q and V?​

Answer 1

Answer:

potential difference is defined as the workdone to move a unit positive charge from one point to another.

Explanation:

V=W/Q

W=QV

Answer 2

The work done is QV.

Given,

Total charge (q) = Q

The potential of the point A = V

To Find,

The work done to move this charge from infinity =?

Solution,

The potential difference at infinity (Vb)= 0 [Negligible]

The potential at point A (Va)= V

From the formula of work done, we know that

Workdone(W) = (Potential difference between point) x (Total Charge)

W = (Va - Vb)x(q)

W = (V - 0)x (Q)

W = QV

Hence, the work done to move this charge from infinity is QV.

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