Can anyone send me the Derivation of impedence in LCR?
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Answer:
the answer is in the picture.
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Answer:
Explanation:
Expression for Impedance in LCR series circuit: 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). Thus VR and (VC - VL) are mutually perpendicular and the phase difference between them is 90°. As applied voltage across the circuit is V, the resultant of VR and (VC - VL ) will also be V. From fig. The phase difference (ϕ) between current and voltage ϕ is given by Graph of variation of current (i) with frequency (f): The resonance in series LCR circuit occurs when inductive reactance is equal to capacitance reactance i.e., XL = XC. Alternatively when the frequency of applied a.c. source becomes Graph is shown in fig. Read more on Sarthaks.com - https://www.sarthaks.com/57522/derive-expression-for-the-impedance-series-circuit-connected-supply-variable-frequency