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  4. A battery has e.m.f. 4V and internal resistance r. When this battery is connected to an external resistance of 2 Ω , a current of 1A flows in the circuit. How much current will flow if the terminals of the battery are connected directly

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Q. A battery has e.m.f. $4V$ and internal resistance $r$. When this battery is connected to an external resistance of $2\,\Omega $, a current of $1A$ flows in the circuit. How much current will flow if the terminals of the battery are connected directly

Current Electricity

Solution:

I = $\frac{E}{R + r}$ or (R + r) = $\frac{E}{I} = \frac{4}{I}$ = 4
$\therefore $ r = 4 - R = 4 -2 = 2 $\Omega$
I = $\frac{E}{r} = \frac{4}{2}$ = 2 A