1. An RLC circuit is used in a radio to tune into an FM station broadcasting at

Question

1. An RLC circuit is used in a radio to tune into an FM station broadcasting at f = 99.7 MHz. The resistance in the circuit is

An RLC circuit is used in a radio to tune into an FM station broadcasting at f = 99.7 MHz. The resistance in the circuit is R = 10.2 ?, and the inductance is L = 1.82 muH. What capacitance should be used? 2. The primary coil of a transformer has N1 = 2.75  102 turns, and its secondary coil has N2 = 1.38  102 turns. If the input voltage across the primary coil is ?v = (120 V) sin ?t, what rms voltage is developed across the secondary coil

Explanation / Answer

f=1/2pisqrt(LC)

=>C =1/4pi^*f^2*L

C=1/4pi^2*(99.7*10^6)^2*(1.82*10^-6)

C=1.4*10^-12 F or 1.4 pF

2)

Vpmax =120 V

Vprms =Vpmax/sqrt(2) =120/sqrt(2) =84.85 V

Vprms/Vsrms =Np/Ns

84.85/Vsrms =275/138

Vsrms =42.58 V

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