Question

4. Write down the relation between the potential difference between two points A and B in a conductor, work done W in moving a unit charge from point B to A and the charge q.​

Answer 1

The potential difference between two points in an electric field is defined as amount of work done in moving a unit charge from one point to other point. Potential difference = Work Done/ Quantity of Charge moved.

Answer 2

To do:

Write down the relation between the potential difference between two points A and B in a conductor, work done W in moving a unit charge from point B to A and the charge q.

Solution:

First of all, let's define POTENTIAL DIFFERENCE:

• Potential Difference is defined as the work done to transport a unit positive charge from one place to another in an electrostatic field.

• In other words, potential difference is calculated as the work done divided by the charge transported.

Hence, the required relation:

$\rm \therefore \: \Delta V = \dfrac{work}{charge}$

$\rm \implies \: V_{A} - V_{B}= \dfrac{W}{q}$

So, final answer is:

$\boxed{ \bf \: V_{A} - V_{B}= \dfrac{W}{q} }$