Question

R₁ and R₄ are the opposite arms of a Wheatstone bridge as are R₃ and R₂, the source voltage is applied across R₁ and R₃ under balanced conditions which one of the following is true?
1. \({R_1} = \frac{{{R_3}{R_4}}}{2}\)
2. \({R_1} = \frac{{{R_2}{R_3}}}{{{R_4}}}\)
3. \({R_1} = \frac{{{R_2}{R_4}}}{{{R_{3}}}}\)
4. \({R_1} = {R_2} + {R_3} + {R_4}\)

Answer 1

Correct Answer - Option 2 : \({R_1} = \frac{{{R_2}{R_3}}}{{{R_4}}}\)

For the bridge balance, the following condition to be followed.

The product of impedances of opposite arms must be equal I.e.

\(R_1 R_4=R_2 R_3\)