Question

two batteries connect in series one is 24 v another is 32 v. find the potential difference​

Answer 1

Final Answer: The potential difference is 56 Volts.

Explanation: The emf E of the cell connected in an electric circuit as shown in fig.

For the flow of charge q in the circuit the energy given by the cell is W.

$E = \frac{W}{q}$

• The charge in all parts of the circuit is same q. If the energies consumed in differents parts of the circuit be W₁ ,W₂, W₃,..
• The sum of their energies will always be W. Thus,$E = \frac{W}{q} = \frac{W1 + W2 + W3}{q} \\E = \frac{W1}{q} + \frac{W2}{q} + \frac{W3}{q} + ....$

$Let \frac{W1}{q} = V1, \frac{W2}{q} = V2, \frac{W3}{q} = V3 +....$

$E = V1 + V2 + V3 +...$

• In this question, V₁  = 24 volt and V₂ = 32 vol

$E = V1 + V2 \\E = 24 + 32 = 56 volts.$

The potential difference is 56 volts