Under what condition current passing through the resistance $R$ can be increased by short circuiting the battery of emf $E_2$. The internal resistances of the two batteries are $r_1$ and $r_2$ respectively.
Medium
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$\frac{E_{1}}{r_{1}+R}>\frac{E_{2}+E_{1}}{r_{1}+r_{2}+R}$
$E_{1} r_{1}+E_{1} r_{2}+E_{1} R>E_{2} r_{1}+E_{2} R+E_{1} r_{1}+E_{1} R$
$E_{1} r_2 >E_{2}\left(r_{1}+R\right)$
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