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Q. Two cells of e.m.f. $E_{1}$ and $E_{2}$ are joined in series and the balancing length of the potentiometer wire is $625\, cm$. If the terminals of $E_{1}$ are reversed, the balancing length obtained is $125 \,cm$. Given $E_{2} > E_{1}$, the ratio $E_{1}: E_{2}$ will be

Current Electricity

Solution:

$\frac{E_{1}+E_{2}}{E_{1}-E_{2}}=\frac{625}{125}=5$
$\frac{E_{1}}{E_{2}}=\frac{3}{2}$