Sharpness of resonance in a series resonant circuit? Find expression for q-factor of circuit.
Answers
The resistance is minimum in Parallel combination as compared to the Resistance connected in Parallel!
Sharpness of resonance in a series resonant circuit is defined by the Q factor . This can be defined as how quickly the energy of the oscillating system decays.
Sharpness of resonance depend upon two factors -
Damping and Amplitude .
Thus, we can say that when damping increase the sharpness also increase and when damping decrease sharpness of resonance also decrease.
Also, the sharpness increase when amplitude decreases .
Quality factor is defined as ratio of the flowing branch currents to the supply current .
Thus, q-factor of circuit = R/(2pi * f * L)
where, R = resistance
L = inductor
f = frequency of resonance circuit = 1/2π√LC
C = capacitance
=> q-factor of circuit = R/(2π * f * L)
= 2π *f * C * R
= R * √C/L