GATE 2022 IN – Question 63
The bridge shown balances with $R_1=100\ \Omega$, $R_2=210\ \Omega$, $C_2=2.9$ μF, and $R_4=50\ \Omega$. The 2 kHz sine-wave generator supplies 10 V peak-to-peak. The value of $L_3$ is ______ mH (two decimal places).
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: 14.40 to 14.60
Explanation
Balance requires (R3+jωL3)(R2/(1+jωR2C2))=R1R4. Equating imaginary coefficients after rearrangement gives L3=R1R4C2=100×50×2.9 μF=**14.50 mH**.