A series RLC circuit uses a 220 V,50 Hz supply. R and C are fixed and L is varied to maximize current. At the maximum, current is 0.4 A and capacitor voltage is 330 V. Find L in H to two decimals.
Maximum current occurs at series resonance, where XL=XC. The capacitor reactance is 330/.4=825 Ω, equal to the inductor reactance. Therefore L=XL/(2πf)=825/(100π)=2.6261 H, rounded to 2.63 H. The supply voltage determines R but is not needed to recover the resonant inductance.
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