Five identical cells each of internal resistance $1\, \Omega$ and $emf \;5\, {V}$ are connected in series and in parallel with an external resistance $'R'.$ For what value of $'R',$ current in series and parallel combination will remain the same ? (in $\Omega$)
JEE MAIN 2021, Diffcult
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$i_{1}=\frac{25}{5+R}$
$i_{2}=\frac{5}{R+\frac{1}{5}}$
$i_{1}=i_{2} \Rightarrow 5\left(R+\frac{1}{5}\right)=5+R$
$4 R=4$
$R=1\, \Omega$
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