Question

A charge q is accelerated through a potential difference of V. the kinetic energy gain by charge is

(a) q V (b) V / q

(c) V (d) q / V​

Answer 1

Given:

A charge q is accelerated through a potential difference of V.

To find:

Kinetic energy gained by charge?

Calculation:

In these type of questions, its best to apply the concept of mechanical energy conservation.

According to CONSERVATION OF MECHANICAL ENERGY:

• The magnitude of change in potential energy will be equal to the magnitude of change in the kinetic energy.

$\therefore \: | \Delta KE | = | \Delta PE |$

$\implies\: | \Delta KE | = charge \times (potential \: difference)$

$\implies\: | \Delta KE | = q \times V$

$\implies\: | \Delta KE | = q V$

So, gain in KE by charge is qV.