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A DC source with internal resistance $R_0$ is connected to three identical resistors each of resistance $R$ as shown in the figure. If the thermal power generated in the circuit is highest, then
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Verified Answer
The correct answer is:
$R=3 R_0$
For maximum power, $R_0=R_{\mathrm{eq}}$ of circuit.
Given, resistances are in parallel combination, the equivalent value is
$$
\begin{aligned}
& \frac{1}{R_{\mathrm{eq}}}=\frac{1}{R_0}=\frac{1}{R}+\frac{1}{R}+\frac{1}{R}=\frac{3}{R} \\
\Rightarrow \quad R_0 & =\frac{R}{3} \text { or } R=3 R_0 .
\end{aligned}
$$
Given, resistances are in parallel combination, the equivalent value is
$$
\begin{aligned}
& \frac{1}{R_{\mathrm{eq}}}=\frac{1}{R_0}=\frac{1}{R}+\frac{1}{R}+\frac{1}{R}=\frac{3}{R} \\
\Rightarrow \quad R_0 & =\frac{R}{3} \text { or } R=3 R_0 .
\end{aligned}
$$
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