At series resonance, an inductor having a Q-factor of 60 is connected in series with a capacitor having a Q- factor of 240. Both Q values apply at the resonant frequency. The overall Q-factor of the circuit is ________. (round off to nearest integer)
At resonance the inductive and capacitive reactance magnitudes are equal. Their series losses add, so \(\frac1Q=\frac1{Q_L}+\frac1{Q_C}\). Hence \(Q=\frac{60\times240}{60+240}=48\).
Important Questions from Electrical Resonance
Consider the following statements and choose the correct answer:
Statement 1: In an RLC series circuit, at half-power frequencies the magnitude of total reactance is equal to resistance.
Statement 2: In an RLC parallel circuit, at half-power frequencies the magnitude total susceptance is equal to conductance.
If the bandwidth of a band-pass filter increases:
What will be the bandwidth of a series resonant circuit provided it has an inductive reactance of 1000 Ohm, a capacitive reactance of 1000 Ohm and a resistance of 0.1 Ohm? It is also known that the resonant frequency is \(10^6\) rad/sec
The peak output of a tuned amplifier is at 6 MHz and has a quality factor of 60. The bandwidth and 3 dB frequencies shall be
A series RLC circuit has a bandwidth of 300 rad/sec at a resonant frequency of 3000 rad/sec when excited by a voltage source of 100 V. The inductance of the coil is 0.1 H. The value of R and the voltage across C are, respectively
