Published by:
CGP EDU Academic Team
Published on: September 12, 2026
In a balanced Wheatstone’s network, the resistances in the arms Q and S are interchanged. As a result of this
Text Solution
Verified by ExpertsThe correct answer is:
A
In a Wheatstone bridge, the bridge is said to be balanced when the ratio of the resistances in one pair of opposite arms is equal to the ratio of the resistances in the other pair. Mathematically, this can be expressed as:
$$\frac{R_1}{R_2} = \frac{R_3}{R_4}$$
where \(R_1\) and \(R_2\) are the resistances in one branch, and \(R_3\) and \(R_4\) are the resistances in the other branch.
When the resistances in arms Q and S are interchanged, the ratios will change, leading to:
$$\frac{R_1}{R_2} \neq \frac{R_4}{R_3}$$
Consequently, the bridge will not be balanced anymore, and the galvanometer will show a deflection as current flows through it.
Therefore, the correct answer is that the network is not balanced.
$$\frac{R_1}{R_2} = \frac{R_3}{R_4}$$
where \(R_1\) and \(R_2\) are the resistances in one branch, and \(R_3\) and \(R_4\) are the resistances in the other branch.
When the resistances in arms Q and S are interchanged, the ratios will change, leading to:
$$\frac{R_1}{R_2} \neq \frac{R_4}{R_3}$$
Consequently, the bridge will not be balanced anymore, and the galvanometer will show a deflection as current flows through it.
Therefore, the correct answer is that the network is not balanced.
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