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Q. The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of $2\, \Omega$. The value of internal resistance of each cell is :

JEE MainJEE Main 2022Current Electricity

Solution:

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$I _{2}=\frac{ E }{\frac{ r }{2}+2}=\frac{2 E }{ r +4}$
$I _{1}= I _{2}$
$2 r +2= r +4$
$2 r - r =2\, \Omega$
$\Rightarrow r =2\, \Omega$