Advertisements
Advertisements
प्रश्न
Calculate the quality factor of a series LCR circuit with L = 2.0 H, C = 2μF and R = 10 Ω. Mention the significance of quality factor in LCR circuit.
Advertisements
उत्तर
Given,
L = 2.0 H
C = 2μF = 2 × 10−6 F
R = 10 Ω
Now,Q-fector `= 1/R sqrtL/C`
`=1/10sqrt(2/(2 xx 10^-6))`
`= 1/(10 xx 10^-3) = 1/10^-2 =100`
Quality factor is also defined as
`Q =2pi f xx text{Energy Stored}/text{Power loss}`
So higher the value of Q means the energy loss is at lower rate relative to energy stored i.e. the oscillations will die slowly and damping would be less.
APPEARS IN
संबंधित प्रश्न
Answer in brief.
What is the natural frequency of the LC circuit? What is the reactance of this circuit at this frequency?
Calculate the value of the capacity in picofarad, which will make 101.4 microhenry inductance to oscillate with a frequency of one megahertz.
A radio can tune over the frequency range of a portion of the MW broadcast band (800kHz -1200kHz). If its LC circuit has an effective inductance of 200mH, what must be the range of its variable condenser?
The frequency of the output signal becomes ____________ times by doubling the value of the capacitance in the LC oscillator circuit.
The magnetic field energy in an inductor changes from maximum value to minimum value in 10 ms, when connected to an a.c. source. The frequency of the source is ______.
A charged 30 µF capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?
A radio can tune over the frequency range of a portion of MW broadcast band: (800 kHz to 1200 kHz). If its LC circuit has an effective inductance of 200 µH, what must be the range of its variable capacitor?
[Hint: For tuning, the natural frequency i.e., the frequency of free oscillations of the LC circuit should be equal to the frequency of the radio wave.]
When an oscillator completes 100 oscillations its amplitude reduces to `1/3` of its initial value. What will be its amplitude, when it completes 200 oscillations?
When a charged condenser is allowed to discharge through the inductor the electrical oscillations are produced called ______
If a LC circuit is considered analogous to a harmonically oscillating spring block system, which energy of the LC circuit would be analogous to potential energy and which one analogous to kinetic energy?
