In a metre bridge experiment, the balance point is obtained if the gaps are closed by 2 and 3 . A shunt of is added to the 3 resistor to shift the balancing point by 22.5 cm. The value of is __________. [2023]

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Solution

Q.
In a metre bridge experiment, the balance point is obtained if the gaps are closed by 2 $Ω$ and 3 $Ω$ . A shunt of $X Ω$ is added to the 3 $Ω$ resistor to shift the balancing point by 22.5 cm. The value of $X$ is __________. [2023]

Ans.
(2)

$\frac{2}{(\frac{3 x}{3 + x})} = \frac{40 + 22.5}{60 - 22.5} = \frac{62.5}{37.5} = \frac{5}{3}$

$\frac{6}{5} = \frac{3 x}{3 + x} \Rightarrow 6 + 2 x = 5 x \Rightarrow x = 2$

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