Question

DERIVE AN EXPRESSION FOR IMPEDANCE OF SERIES LCR CIRCUIT


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Answer 1

Answer:

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Suppose resistance R, inductance L and capacitance C are connected in series and an alternating source of voltage V =V0sinω is applied across it. (fig. a) On account of being in series, the current (i ) flowing through all of them is the same.....

Suppose the voltage across resistance R is VR, voltage across inductance L is VL and voltage across capacitance C is VC. The voltage VR and current i are in the same phase, the voltage VL will lead the current by angle 90° while the voltage VC will lag behind the current by angle 90° (fig. b). Clearly VC and VL are in opposite directions, therefore their resultant potential difference =VC -VL (if VC >VC)....