Advertisements
Advertisements
प्रश्न
A coil of resistance 10 Ω and inductance 100mH and a capacitor of variable capacitance are connected across a 20V, 50Hz A.C. supply. At what capacitance will resonance occur?
Advertisements
उत्तर
Given:
R = 10 Ω, L = 100 mH = 100 × 10-3 H = 10-1 H
V = 20 volt, fr = 50 Hz
To find: Capacitance (C)
Formula: fr = `1/(2pi sqrt"LC")`
Calculation:
From formula,
C = `1/(4pi^2"f"_"r"^2"L")`
= `1/(4 xx (3.142)^2 xx 50^2 xx 10^-1)`
= 101.3 × 10-6 F
= 101.3 μF
The resonance will occur when capacitance will have a value of 101.3 μF.
Notes
[Note - Answer calculated above is in accordance with the textual method of calculation.]
APPEARS IN
संबंधित प्रश्न
In a series LCR circuit at resonance, the applied emf and current are - ______
A series LCR resonant circuit is used as ______
State any one characteristic of a parallel LC AC resonance circuit.
In the LCR series circuit, what are the (a) impedance and (b) reactance at current resonance?
Obtain the expression for the resonant frequency of the LCR series circuit and explain electrical resonance in an LCR series circuit.
In an LCR circuit, at resonance ______
Out of the following graphs, which graph shows the correct relation (graphical representation) for LC parallel resonant circuit?
In series resonance, LCR circuit, below the resonant frequency, the circuit is ____________.
In the given electrical circuit, which one of the following equations is a correct equation?
A transistor-oscillator using a resonant circuit with an inductor L (of negligible resistance) and a capacitor C in series produce oscillation of frequency f. If L is doubled and C is changed to 4C, the frequency will be ____________.
In parallel resonance, the current will be minimum, when ____________.
In a resonance tube, first and second resonance positions occur respectively at 28 cm and 88 cm. If the frequency of the fork is 300 Hz, then the speed of sound is ____________.
In LCR circuit, the capacitance is changed from C to 4C. For some resonant frequency, the inductance should be changed from L to ____________.
At what frequency (approximate) will the inductive reactance of 4 H inductance be equal to the capacitive reactance of 4 µF capacitance?
A parallel combination of pure inductor and capacitor is connected across a source of alternating e.m.f. 'e'. The currents flowing through an inductor and capacitor are iL and iC respectively. In this parallel resonant circuit, the condition for currents i, iL and iC is (i = net r.m.s. current in the circuit)
In rejector circuit, above resonant frequency the circuit is ____________.
In series resonant circuit, at resonance, ____________.
A coil of 16 mH and a capacitor of 10 µF are in series with an A.C source along with 5 `Omega` resistances. If inductive reactance is equal to capacitive reactance, then the angular frequency (in rad/s) of source is ____________.
In a series resonant circuit, having L, C and R as its elements, the resonant current is i. The power dissipated in circuit at resonance is ______.
In LC parallel resonance circuit, choose the correct statement.
What is an acceptor circuit?
State the use of the acceptor circuit.
What is a rejector circuit?
What are the Uses of rejector circuit?
A particle starting from extreme position performs S.H.M. The phase difference of the particle between any two successive mean positions is ______.
