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# How to connect LCR circuit in series combination

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### How to connect LCR circuit in series combination

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LCR circuit: Suppose a resistance R. an inductance L and a capacitance C are connected in series to a source of alternating emf  Where emf of alternating current

Let I be the current in the series circuit at any instant. Then voltage will be differ due to R, L and C.

Potential across resistor: R will be in same phase with Potential across inductance coil    Inductance L is ahead of current by Where    R    =   Resistance  I = current =    Capacitive reactance

So using Pythagorean Theorem, we get Where peak value of current

The effective resistance of series LCR circuit which opposes the flow of current is called Impedance. It is denoted by Z. Special cases:

(i) Inductive LCR circuit

The emf is ahead of current by angle The Instantaneous current (ii) Capacitive LCR circuit

The current is ahead of emf by angle  The Instantaneous current  Clearly the circuit is purely resistive

The current and voltage are in same phase and the current is maximum. This is Resonance condition