Calculate the potential difference between two terminals of a cell if 100 Jule is required to transfer 20 coulomb of charge from one terminal to other?

Question

Answer

Work done (W) = 100 J, Charge (Q) = 20 C, Potential difference (V) = ?

Potential difference = Work done/ charge

=> V
= W/Q

V=
100 J/20 C

V = 5 V

Answer

Calculation of Potential Difference

The potential difference between two terminals of a cell can be calculated using the formula:

$$
\text{Potential difference (V)} = \frac{\text{Work done (J)}}{\text{Charge (C)}}
$$

Given values:
- Work done (W) = 100 J
- Charge (Q) = 20 C

Calculation:
- Substituting the given values into the formula:
$$
\text{Potential difference (V)} = \frac{100 \, \text{J}}{20 \, \text{C}} = 5 \, \text{V}
$$

Therefore, the potential difference between the two terminals of the cell is 5 volts.

Explanation:

- The potential difference between two points is the work done in moving a unit positive charge from one point to the other against the electric field.

- In this case, 100 J of work is done to transfer 20 C of charge from one terminal to the other. This means that the potential difference between the terminals is 5 V.

- The potential difference is a measure of the electrical potential energy per unit charge. It is an essential concept in understanding the behavior of electric circuits and devices.

- Understanding the potential difference is crucial in designing circuits and ensuring that electrical devices operate correctly. It helps in determining the flow of current and the distribution of energy in a circuit.

Answer

As we know,
Potential difference= Work done/charge
V=W/Q
given values are:- work done=100Joules
charge=20 coulombs
So, according to formula,
V=100J/20C
= 5 Volts

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