Question

If 'W' is the amount of work done in bringing a Q unit of positive charge from infinity to given point in an electric field, such that 'V' is potential at that point, then what is the relation between W, Q and V?

Answer 1

The mathematical relation between work done (W), electric charge (Q), and electric potential (V) is:

W = V × Q

Alternatively, it can be written as:

\[V = \frac{W}{Q} \]

(Electric potential is work done per unit charge)

\[Q = \frac{W}{V} \]

Where:

W = Work done (measured in joules, J)

V = Electric potential (measured in volts, V)

Q = Electric charge (measured in coulomb, C)