Advertisements
Advertisements
प्रश्न
A charged 30 µF capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?
Advertisements
उत्तर
Capacitance, C = 30 μF = 30 × 10−6 F
Inductance, L = 27 mH = 27 × 10−3 H
Angular frequency is given as:
ω = `1/sqrt"LC"`
= `1/sqrt(27 xx 10^-3 xx 30 xx 10^-6)`
= `1/(9 xx 10^-4)`
= 1.1 × 103 rad/s
Hence, the angular frequency of free oscillations of the circuit is 1.1 × 103 rad/s.
APPEARS IN
संबंधित प्रश्न
Discuss the composition of two S.H.M.s along the same path having same period. Find the resultant amplitude and intial phase.
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.
Answer in brief.
What is the natural frequency of the LC circuit? What is the reactance of this circuit at this frequency?
In a series LR circuit XL = R and power factor of the circuit is P1. When capacitor with capacitance C such that XL = XC is put in series, the power factor becomes P2. Calculate P1/P2.
A 10 μF capacitor is charged to a 25 volt of potential. The battery is disconnected and a pure 100 m H coil is connected across the capacitor so that LC oscillations are set up. Calculate the maximum current in the coil.
Answer in brief.
The total impedance of a circuit decreases when a capacitor is added in series with L and R. Explain why?
Calculate the value of the capacity in picofarad, which will make 101.4 microhenry inductance to oscillate with a frequency of one megahertz.
A charged 10 microfarad capacitor is connected to an 81 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 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 oscillation in L.C. circuit is produced due to ____________.
Electrical oscillations of desired frequency can be obtained by ______.
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 ______.
In an oscillating LC circuit, the maximum charge on the capacitor is Q. The charge on the capacitor, when the energy is stored equally between the electric and magnetic field is ____________.
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?
In an oscillating system, a restoring force is a must. In an LC circuit restoring force is provided by ______.
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?
