Electric Circuit Analysis: Unit V: Resonance and coupled circuits
Exercise - Series Resonance
Electric Circuit Analysis
Electric Circuit Analysis: Unit IV: Three phase circuits : Exercise - Series Resonance
Exercise - Series Resonance
1.
A series resonant circuit has BW = 2000 Hz and Q = 100. It uses a capacitor of
50 pF. Calculate the other constants of the circuit. If an AC voltage of 1 volt
is connected to this circuit, what will be the voltage across inductor,
capacitor and resistor at resonance?
[Ans:
R = 159.4 Ω, L = 12.67 mH, 100 volts, 100 volts & 1 volt]
2.
A series RLC circuit consists of R = 1000 Ω, L = 100 milli henries and C = 10 ×
10-12 farads.
The
applied voltage across the circuit is 100 V.
(i)
Find the resonant frequency of the circuit.
(ii)
Find the Q factor of the circuit at resonant frequency.
(iii)
At what angular velocities do the half-power points occur?
(iv)
Compute the band width of the circuit.
[Ans: 0.159 × 10 Hz; 100; 995 × 103,
1005 ×103 rad/sec; 10×103 rad/sec]
3.
A series RLC circuit has a resistance of 20 Ω, inductance of 0.05 henrys and
capacitance of 10 μF. Find resonant frequency, band width and Q of the circuit.
[Ans: ω0 = 1414 rad/sec; BW = 400
rad/sec; Q = 3.54]
4.
A series RLC circuit has the following parameter values R = 10 ohms, L = 1 H
and C = 1 μF.
(a)
Compute the resonant frequency in radians/sec.
(b)
Calculate the quality factor of the circuit.
(c)
What is the value of the bandwidth ?
(d)
Calculate the lower and upper frequency points of the bandwidth in radians/sec.
[Ans:
(a) 1000rad/sec; 100; 10rad/sec; 995 rad/sec; 1005 rad/sec]
5.
A series RLC circuit is applied with a sinusoidal source of constant voltage
and a variable frequency. If f1 and f2 are two
frequencies at which the current in the circuit has the same magnitude, show
that (i) The power factor of the circuit has the same values at f1
and f2 and (ii) 4π2 f1 f2 LC = 1.
Electric Circuit Analysis: Unit V: Resonance and coupled circuits : Tag: : Electric Circuit Analysis - Exercise - Series Resonance
Electric Circuit Analysis: Unit V: Resonance and coupled circuits
Under Subject
Electric Circuit Analysis
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