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I n the Maxwell bridge as shown in the figure below, the values of resistance Rx and inductance Lx of a coil are to be calculated after balancing the bridge. The component values are shown in the figure at balance. The values of Rx and Lx will respectively be
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- 375 ohm. 75 mH
- 75 ohm, 150 mH
- 37.5 ohm, 75 mH
- 75 ohm, 75 mH
Correct Option: A
Applying the usual balance condition relation,
Z1 Z4 = Z2 Z3.
we have (R1 + jL1ω) | R2R3 | |
R4 + 1/jC4ω |
or (R1 + jL1ω) | R2R3 | |
R4 + 1/jC4ω |
or R1R4 + jL1ωR4 = R2R3 + jR2R3R4C4ω
∴ R1 = R2 | L1 = R2R3C4 | |
R4 |
R1 = 2000 × | = 375 ohm. | |
4000 |
Lx = 2000 × 750 × 0.05 × 10-6 = 75 mH