In a potentiometer circuit a cell of $EMF$ $1.5\, {V}$ gives balance point at $36\, {cm}$ length of wire. If another cell of $EMF$ $2.5\, {V}$ replaces the first cell, then at what length of the wire, the balance point occurs ? (in $cm$)
NEET 2021, Medium
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$\phi=$ constant
$E_{\text {unknown }}=\phi I_{b} \Rightarrow E_{\text {unknown }} \propto I_{b}$
$\frac{E_{1}}{E_{2}}=\frac{I_{1}}{I_{2}} \Rightarrow \frac{1.5}{2.5}=\frac{36}{x}$
$x=\frac{36 \times 5}{3}=60\, \mathrm{~cm}$
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