Physics

Problem

A radio tuner uses a series RLC circuit with resistance

R=15\,\Omega

and inductance

L=2.5\,\mu\text{H}

. It is connected to a constant-amplitude supply of

12\,\text{V}

(rms). a. (i) The circuit is first adjusted so that its resonant frequency is

1.0\,\text{MHz}

. Calculate the peak current in this condition. b. (ii) Keeping

L

unchanged, the capacitance is now increased so that the resonant frequency becomes

0.90\,\text{MHz}

while the supply frequency remains at

1.0\,\text{MHz}

. Determine the new peak current in the circuit. c. (iii) Briefly explain, using numerical results obtained, why the current amplitude changes when the circuit is taken off resonance.

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