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In Maxwell’s capacitance bridge for calculating unknown inductance, the various values at balance are, R1 = 300 Ω, R2 = 700 Ω, R3 = 1500 Ω, C4 = 0.8 μF. The values of R1, L1 and Q factor, if the frequency is 1100 Hz are ____________(a) 240 Ω, 0.12 H, 3.14(b) 140 Ω, 0.168 H, 8.29(c) 140 Ω, 0.12 H, 5.92(d) 240 Ω, 0.36 H, 8.29I got this question by my college director while I was bunking the class.Enquiry is from Problems Involving Coupling Coefficient topic in division Resonance & Magnetically Coupled Circuit of Network Theory

Answer» RIGHT answer is (b) 140 Ω, 0.168 H, 8.29

To EXPLAIN: From Maxwell’s capacitance, we have

R1 = \(\frac{R_2 R_3}{R_4}= \frac{300 ×700}{1500}\) = 140 Ω

L1 = R2 R3 C4

= 300 × 700 × 0.8 ×10^-6 = 0.168 H

∴ Q = \(\frac{ωL_1}{R_1}\)

= \(\frac{2 × π × 1100 × 0.168}{140}\) = 8.29.


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