A variable capacitor C is connected in series with a coil having inductance L. The cir cuit possesses stray capacitance CS which is assumed to be constant and effectively in par allel with the variable capacitor C. When the capacitor is set to 2.0 nF the resonant fre quency of the circuit is 86.85 kHz, and when the capacitor is set to 1.0 nF the resonant fre quency is 120 kHz. Determine
A variable capacitor C is connected in series
with a coil having inductance L. The cir
cuit possesses stray capacitance CS which is
assumed to be constant and effectively in par
allel with the variable capacitor C. When the
capacitor is set to 2.0 nF the resonant fre
quency of the circuit is 86.85 kHz, and when
the capacitor is set to 1.0 nF the resonant fre
quency is 120 kHz. Determine the values of
(a) the stray circuit capacitance CS and (b) the
coil inductance L.
. A series R–L–C circuit comprises a 5µF
capacitor, a 4ohm resistor and a variable induc
tance L. The supply voltage is 10∠0◦ V at
a frequency of 159.1 Hz. The inductance is
adjusted until the p.d. across the 4 ohm resistance
is a maximum. Determine for this condition (a)
the value of inductance, (b) the p.d. across each
component and (c) the Q-factor of the circuit.
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