Draw the circuit diagram of a Wheatstone bridge. Obtain the condition when no current flows through the galvanometer in it.
\includegraphics[width=0.5\linewidth]{17.png}
% Wheatstone Bridge Diagram Explanation
Circuit Diagram and Condition:
The Wheatstone bridge consists of a quadrilateral circuit with four resistors, \( R_1, R_2, R_3, \) and \( R_4 \), a galvanometer \( G \), and a battery. The galvanometer is connected between the junctions of \( R_2 \) and \( R_3 \), and \( R_1 \) and \( R_4 \). The battery is connected across the bridge.
% Correct answer
Correct Answer:
The condition for no current to flow through the galvanometer is when the bridge is balanced, given by the equation:
\[
\frac{R_1}{R_2} = \frac{R_3}{R_4}
\]
Show Hint
The Wheatstone bridge is a fundamental tool in measuring unknown electrical resistances and is extensively used in sensors and other measuring devices.
This balance condition implies that the potential drop across the bridge is symmetrically distributed, resulting in zero potential difference across the galvanometer, thus no current flow.