Electricity: Electric Potential Difference

Numerical Problems

These numerical problems are based on the chapter Electricity class 10 science of NCERT book and CBSE syllabus.

Example 1: Calculate the work done if a charge of 5 C moving across two point having potential difference equal to 15 V.

Solution: Given, potential difference (V) = 15 V

Charge (Q) = 5 C

Work done (W) =?

We know that, `V = W/Q`

Or, `W = V xx Q`

Or, `W = 15 V xx 5 C = 75 J`

Example 2: Calculate the work done to carry a charge of 3 C, if the potential difference between two points is 10 V.

Solution: Given, charge = 3 C

Potential difference between two points = 10V

Work done (W) =?

We know that, `V = W/Q`

Or, `W = V xx Q`

Or, `W = 10 V xx 3 C = 30 J`

Example 3: What potential difference is required to do 100 J of work to carry a charge of 10 C between two points?

Solution: Given, work done (W) = 100J

Charge (Q) = 10C

Potential difference (V) =?

We know that, `V = W/Q`

Or, `V = (100 J)/(10 C) = 10 V`

Example 4: Calculate the potential difference between two points, if 1500 J of work is done to carry a charge of 50C from one point to other?

Solution: Given, work done (W) = 1500J

Charge (Q) = 50C

Potential difference (V) =?

We know that, `V = W/Q`

Or, `V = (1500 J)/(50 C) = 30 V`

Example 5: 5000 J of work would is done to carry how much charge between two points having potential difference of 100 V?

Solution: Given, potential difference (V) = 100V

Work done (W) = 5000 J

Charge (Q) =?

We know that, `V = W/Q`

Or, `Q = W/V`

Or, `Q = (5000 J)/(100 V) = 50 C`

Example 6: To carry how much charge between two points having potential difference equal to 220 V, 1760 J of work is done?

Solution: Given, potential difference (V) = 220V

Work done (W) = 1760 J

Charge (Q) =?

We know that, `V = W/Q`

Or, `Q = W/V`

Or, `Q = (1760 J)/(220 V) = 8 C`