Question

What is the mathematical expression for the balance condition of a Wheatstone bridge?

Options

• \[\frac{R_1}{R_2} = \frac{R_3}{R_4}\]

• \[\frac{R_2}{R_1} = \frac{R_4}{R_3}\]

• \[R_1 + R_2 = R_3 + R_4\]

• \[R_1 \times R_2 = R_3 \times R_4\]

Answer 1

The balance condition formula states that \[\frac{R_2}{R_1} = \frac{R_4}{R_3}\], where the ratio of resistances in one pair of arms equals the ratio in the other pair. This relationship is derived from the principle that when potentials at the two galvanometer junctions become equal, no current flows through the galvanometer.