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  4. In the given circuit, an ideal voltmeter connected across the 10 Ω resistance reads 2V. The internal resistance r, of each cell is :

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Q. In the given circuit, an ideal voltmeter connected across the $10\, \Omega$ resistance reads $2V$.
The internal resistance $r$, of each cell is :Physics Question Image

JEE MainJEE Main 2019Current Electricity

Solution:

$R_{eq} = \frac{15\times10}{25} + 2 +2r $
$ = 8 + 2r $
$ i = \frac{3}{ 8+2r} $
$ 2 = i R_{eq} = \frac{3}{8 + 2 r } \times6 $
$ 16 +4r = 18 $
$ \Rightarrow r = 0.5 \Omega$