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In the circuit shown in the figure, an inductance of 0.1H having a Q of 5 is in parallel with a capacitor. Determine the value coil resistance (Ω) of at a resonant frequency of 500 rad/sec.(a) 10(b) 20(c) 30(d) 40I have been asked this question in class test.This interesting question is from Resonant Frequency for a Tank Circuit topic in division Resonance & Magnetically Coupled Circuit of Network Theory

Answer»

Right choice is (a) 10

The explanation is: Quality FACTOR Q = ωrL/R. L = 0.1H, Q = 5, ωr = 500 rad/sec. On solving, R = 10Ω. While plotting the voltage and current variation with frequency, at resonant frequency, the current is maximum.



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