series ac circuit has inductance L, resistance R and angular frequency W, the quality factor Q is

Dear Student,Q-factor can be defined as, Q = 2πMaximum energy stored per cycleEnergy dissipated per cycleNow, Max. Energy stored in inductor per cycle : 12LIp2 , where Ip is the peak currentNow in an LR circuit, Resistive component would dissipate this energy. We know power dissipated each cycle = Irms2 R = Ip22RThus Energy dissipated per cycle =  Ip22R 2πωThus Q-factor: 2π12LIp2 Ip22R 2πω =ωLRRegards

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