Question

The amount of work done in increasing the voltage across the plates of capacitor from 5v to 10v is w. The work done in increasing it from 10v to 15v will be a) w b) 0.6 w c) 1.25 w d) 1.67 w

Answer 1

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Answer 2

Answer: The correct answer is w.

Explanation:

The expression for the work done in terms of charge and potential difference is as follows;

$w=q\Delta V$                                                  .......... (1)

Here, q is the charge and $\Delta V$ is the change in the potential.

It is given in the problem that The amount of work done in increasing the voltage across the plates of capacitor from 5v to 10v is w.

Calculate the change in potential.

$\Delta V= 10 V - 5 V$

$\Delta V= 5 V$

Put $\Delta V= 5 V$ in the expression (1).

$w=q(5)$                                                            ....... (2)

Calculate the change in potential from  10V to 15V.

$\Delta V= 15 V - 10 V$

$\Delta V= 5 V$

Calculate the work done in increasing it from 10 V to 15 V by using the expression (1).

$w'=5q$

Put 5q=w by using equation (2).

$w'=w$    

Therefore, the correct option is (a).