Question

A battery of emf 10 V and internal resistance 3 ohm is connected to a resistor. If the current in the circuit 0.5 A, find : (i) the resistance of the resistor; (ii) the terminal voltage of the battery.

Answer 1

Given: \(E=10 V, r=3 \Omega, I=0.5 A, R=?, V=?\)
(i) \(\because\)
$$
\Rightarrow \quad \mathrm{R}+r=\frac{\mathrm{E}}{\mathrm{I}}=\frac{10}{0.5}=20
$$
$$
\text { or } \quad \begin{aligned}
\mathrm{R} &=20-r \\
\mathrm{R} &=20-3=17 \Omega
\end{aligned}
$$
(ii) \(\mathrm{V}=\mathrm{IR}=0.5 \times 17=8.5 \mathrm{~V}\)

Answer 2

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