Q. 295.0( 1 Vote )

An ac voltage v = vm sinωt is applied to a series LCR circuit. Obtain the expression for current in the circuit and the phase angle between current and voltage. What is the resonance frequency?

OR

An ac voltage v = vm sinωt is applied to a pure inductor L. Obtain an expression for the current in the circuit. Prove that the average power supplied to an inductor over one complete cycle is zero.

Answer :


Current through resister, Vr=IR


Current through inductor, VL=IL


Current through inductor, VL=



Now, impedance resistance is,


So, current, I=


The resonance frequency is the frequency in which Z=R, means XC=XL,


Or, L=


Or,


Or,


Or, This is the value of resonance frequency in LCR Circuit.


OR


(As, self induced voltage = applied voltage)





We know that, or


Or,


Now, average of is 0.


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