Question

Express work done in an electric field in terms of charge and potential difference​

Answer 1

To do:

Express work done in an electric field in terms of charge and potential difference.

Solution:

Potential difference between two points is defined as the total work done to carry a unit positive charge in that electric field from one point to another.

So, the work done can be defined as the product of the potential difference and the carried charge.

Let potential difference be V , work done be W , and charge q.

According to the definition:

$\therefore \: V = \dfrac{W}{q}$

$= > \:W = V \times q$

So, the required expression:

$\boxed{ \bold{ \large{\:W = V q}}}$