First slide
Electrical Resonance series circuit
Question

We have three devices, a capacitor of C=1μF , an inductor of L = 10mH and a resistor of ‘R’ Ω when C and R are used in series combination and an alternating source of emf is connected across it, current leads the supply voltage by 450 when L and R are used in series combination and the same supply voltage is applied across the combination, current lags the supply voltage by  450. Then R is

Easy
Solution

1ωcR=tan450   ωRC=1(1) ωLR=tan450  ωL=R_____(2) Solving, R=LC=100Ω

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