Rankers Physics

Power of Electrical Circuit: Practice Problem & Solution

A battery of e.m.f $10\text{ V}$ and internal resistance $0.5\text{ }\Omega$ is connected across a variable resistance $R$. The value of $R$ for which the power delivered in it is maximum is given by (1992)
$0.5\text{ }\Omega$
$1.0\text{ }\Omega$
$2.0\text{ }\Omega$
$0.25\text{ }\Omega$

Solution Explained:

To solve this problem, we apply the core principles of Power of Electrical Circuit. Understanding the underlying formula is key to arriving at the correct answer below:

For maximum power transfer from a battery to a load resistor, the external resistance must equal the internal resistance of the battery. Therefore, $R = r = 0.5\text{ }\Omega$.

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