In a meter bridge experiment balance point in obtained if gaps are closed by 2,Ω and 3,Ω . A shunt

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3.Current Electricity

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In a meter bridge experiment the balance point in obtained if the gaps are closed by $2\,\Omega$ and $3\,\Omega$. A shunt of $x\,\Omega$ is added to $3\,\Omega$ resistor to shift the balancing point by $22.5\,cm$. The value of $X$ is $................$

A

$2$

B

$4$

C

$6$

D

$8$

(JEE MAIN-2023)

Solution

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

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

$6+2 x=5 x \Rightarrow x=2$

Standard 12

Physics

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