A coil will be used in a series resonant circuit intended to pick up a signal

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

Problem

20\,\mu\text{H}

coil will be used in a series resonant circuit intended to pick up a

5\,\text{MHz}

signal. The expected current at resonance is

0.40\,\text{A}

. Capacitors available have a working rms voltage of

100\,\text{V}

. (a) (i) Calculate the capacitance required for resonance. (b) (ii) Determine the rms voltage that will appear across the capacitor at resonance and state whether the

100\,\text{V}

rating is adequate. (c) Give the capacitance in

\text{pF}

(nearest whole number) and the voltage in volts (nearest volt).

Related theory

AC Circuit Elements
Resonance in AC Circuits
AC Circuit Analysis
Resonance and LC oscillations
Alternating Current

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