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  4. In a potentiometer arrangement, a cell of emf 1.20 V gives a balance point at 36 cm length of wire. This cell is now replaced by another cell of emf 1.80 V. The difference in balancing length of potentiometer wire in above conditions will be cm.

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Q. In a potentiometer arrangement, a cell of emf $1.20\, V$ gives a balance point at $36 \, cm$ length of wire. This cell is now replaced by another cell of emf $1.80\, V$. The difference in balancing length of potentiometer wire in above conditions will be _______$cm$.

JEE MainJEE Main 2022Current Electricity

Solution:

$ 1.2=$( Potential Gradient )$ \times 36$
$ 1.8=$( Potential Gradient ) $\times x$
On dividing, we get
$\frac{2}{3} =\frac{36}{x} $
$x =18 \times 3=54\, cm$
Hence difference $=54-36=18\, cm$