What is the resonance condition of a series LCR circuit calculate the resonant frequency?
In a series RLC circuit , there comes a frequency of ac source when the inductive reactance of the inductor becomes equal in value to the capacitive reactance of the capacitor . This point is called the Resonant Frequency point .
What is the condition for resonance in series LCR circuit?
In series LCR circuit resonance occurs only when the capacitive and inductive reactances cancel out each other due to a phase difference of 180∘ between them. So putting that in the formula for the impedance in the LCR circuit, we can calculate the resonant frequency.
What is the condition for resonance to occur in a series LCR circuit?
Electrical resonance is said to take place in a series LCR circuit when the circuit allows maximum current for a given frequency of the source of alternating supply for which capacitive reactance becomes equal to the inductive reactance. The impedance of LCR circuit is minimum and hence current is maximum.
What is the condition for resonance in series LCR AC circuit?
For resonance the current produced in the circuit and emf applied must always be in the same phase. Phase difference (φ) in series LCR circuit is given by. tanφ=RXC−XL. For resonance, φ=0⟹XC−XL=0 or XC=XL.
What is the condition of series resonance?
Series resonance is a resonance condition that usually occurs in series circuits, where the current becomes a maximum for a particular voltage. In series resonance, the current is maximum at resonant frequency. The series resonance current curve increases to a maximum at resonance then decreases as resonance is passed.
How can the power factor of a series LCR circuit be improved?
Power factor can often be improved by the use of capacitor of appropriate capacitance in the circuit. Justify. As the value of capacitor (C) is changed, the value of mpedence (Z) also changes, hence power factor can be imporved with the help of appropriate capacitance in the circuit.
Does resonance have maximum impedance?
At resonance, the series impedance of the two elements is at a minimum and the parallel impedance is at maximum. Resonance is used for tuning and filtering, because it occurs at a particular frequency for given values of inductance and capacitance.
What is the difference between series and parallel resonance?
The main difference between series and parallel resonance is that series resonance occurs when the arrangement of the components creates the minimum impedance, whereas parallel resonance occurs when the arrangement of components creates the largest impedance.
How is resonant frequency used in everyday life?
Resonance occurs when the frequency of the applied force is equal to one of the natural frequencies of vibration of the forced or driven harmonic oscillator. Swing, Guitar, Pendulum, Bridge and Music system are a few examples of resonance in everyday life.