A tuning section in a radio set is required to resonate at a carrier frequency of

PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current

Problem

1.00\,\text{MHz}

. The circuit uses a fixed inductor of inductance

0.25\,\text{mH}

, a variable capacitor and a series resistance of

5.0\,\Omega

. Assume a constant rms supply voltage of

2.0\,\text{V}

. (i) Compute the capacitance that will make the circuit resonate exactly at

1.00\,\text{MHz}

. (ii) If the station’s carrier drifts upward by

2.0\%

, keeping the inductance and capacitance fixed at the values found in part (i), calculate the new magnitude of the circuit impedance. (iii) Determine the percentage decrease in the rms current owing to the

2.0\%

frequency drift.

Related theory

AC Circuit Analysis
Resonance in AC Circuits
Alternating current
Resonance and LC oscillations

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