How to connect LCR circuit in series combination
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
potential across capacitor Capacitance C lags behind the current
by
Where R = Resistance I = current
As and
are in opposite direction their resultant will be
The resultant of and
must be equal to the applied emf
So using Pythagorean Theorem, we get
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
(ii) Capacitive LCR circuit
The current is ahead of emf by angle
Clearly the circuit is purely resistive
The current and voltage are in same phase and the current is maximum. This is Resonance condition
Leave a Reply