A radio tuner has 400 ohms resistor, 0.50 mH inductor, and a capacitor with capa

Question

A radio tuner has 400 ohms resistor, 0.50 mH inductor, and a capacitor with capacitance of 72 pF. All three elements are connected in series. A) find the resonance frequency for the circuit. B) find the reactance of the inductor and capacitor at resonant frequency. A radio tuner has 400 ohms resistor, 0.50 mH inductor, and a capacitor with capacitance of 72 pF. All three elements are connected in series. A) find the resonance frequency for the circuit. B) find the reactance of the inductor and capacitor at resonant frequency. A) find the resonance frequency for the circuit. B) find the reactance of the inductor and capacitor at resonant frequency.

Explanation / Answer

AAt )resonance frequency wL=1/wC

w^2=1/LC=2.77*10^(10)

w=166666.667

frequency=w/2pi=26525.8 Hz

(B) at resonance

reactance of inductor =wL=83.33 ohm

of capacitor=1/wC=83.33 ohm

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