In the given circuit,the current through AB i | vedclass

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(C) The circuit represents a Wheatstone bridge configuration. Given that the current through the branch $AB$ is zero,the bridge is in a balanced state

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$40$

Vedclass · Answer

(C) The circuit represents a Wheatstone bridge configuration. Given that the current through the branch $AB$ is zero,the bridge is in a balanced state. According to the balanced Wheatstone bridge condition,the ratio of resistances in the opposite arms must be equal. Looking at the circuit,the resistors $10 \, \Omega$ and $X$ are in one branch,and $5 \, \Omega$ and $20 \, \Omega$ are in the other branch relative to the bridge nodes. Applying the balance condition: $\frac{10}{X} = \frac{5}{20}$. Solving for $X$: $X = \frac{10 	imes 20}{5} = 40 \, \Omega$.

In the given circuit,the current through $AB$ is zero. What will be the value of the unknown resistance $X$ in $\Omega$?

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