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The Maxwell bridge shown in the figure is balanced. The parameters of the inductive coil are

1. \(R=\dfrac{R_2R_3}{R_4},\; L=C_4R_3R_1\)
2. \(L=\dfrac{R_2R_3}{R_4},\; R=C_4R_3R_1\)
3. \(R=\dfrac{R_4}{R_3R_1},\; L=\dfrac{1}{C_4R_2R_1}\)
4. \(L=\dfrac{R_4}{R_2R_3},\; R=\dfrac{1}{C_4R_3R_1}\)

Correct answer: \(R=\dfrac{R_2R_3}{R_4},\; L=C_4R_3R_1\)

Solution

In a Maxwell bridge, balance is obtained by equating the product of opposite arms. Separating the resistive and reactive parts gives the coil resistance \(R=\dfrac{R_2R_3}{R_4}\) and inductance \(L=C_4R_3R_1\).

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