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Resonance in Series LCR circuit is considered one the most difficult concept.
18 Questions around this concept.
The self inductance of the motor of an electric fan is 10 H. In order to impart maximum power at 50 Hz, it should be connected to a capacitance of
In a LCR circuit capacitance is changed from C to 2C . For the resonant frequency to remain unchanged, the inductance should be changed from L to
In a series resonant LCR circuit, the voltage across R is 100 volts and R = 1 k with C = 2
. The resonant frequency
is 200 rad/s. At resonance the voltage across L is
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In a series LCR circuit, the inductance L is 10 mH, capacitance C is 1µF and resistance R is . The frequency at which resonance occurs is?
The resonance frequency of the tank circuit of an oscillator when
Resonance in Series LCR circuit-
As we have discussed that when-
then
So, we get minimum value of
In this case impedance is purely resistive and minimum and currents has its maximum value. Now as -
So,
As,
So,
This frequency is called resonant frequency of the circuit.
Peak current in this case is given by -
We will now discuss about the resonance curve and its nature. We will show the variation in circuit current (peak current i0) with change in frequency of the applied voltage -
This figure/graph shows the variation of current with the frequency.
Conclusions from the graph -
1. If R has small value, the resonance is sharp which means that if the applied frequency is lesser to resonant frequency f0,the current is high otherwise
2. If R is large, the curve is broadsided which means that those is limited change in current for resonance and non-resonance conditions
Note -
The natural or resonant frequency is Independent from the resistance of the circuit.
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