1.

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»

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.



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