LCR circuit with R=200 ohm, C=100/1000000 F, and L= 20 H. The inductor has a res
ID: 2037593 • Letter: L
Question
LCR circuit with R=200 ohm, C=100/1000000 F, and L= 20 H. The inductor has a resistance of 20 ohm. The circuit has a resitance of 20 ohm. The circuit is driven by a veriable frequency signal generator. The voltage output of the signal generator is V(t) = 80vsin(2*pie*ft).
1. calculate the resonance of the circuit.
2. Calculate the impedance of the circuit at resonance.
3. Calculate the maximum current through and maximum vlotage across the resistor at resonance.
4. Calculate the Phase shift of the circuit at resonance.
5. Calculate the ideal Quality of the circuit..
6 The signal generator is adjusted to supply 80v max at a frequency of 5.00 Hz. Find the impedance and max current through the circuit
.7 find the max voltage across the resistor, capacitor and inductor using the values from 6.
8. Draw the Phase Digram for 6 and 7
the digram is serise circuit.
Variable Frequency Signal Generator is connected to Resistor(A voltmeter is parallely connected with resistor) to Inductor to Capacitor to Ameter to Variable Frequency Signal Generator.
Please draw the digram.
Explanation / Answer
given
R = 200 ohm
C = 100 micro F
L = 20 H
Vmax = 80 V
1) resosnant frequency, fo = 1/(2*pi*sqrt(L*C))
= 1/(2*pi*sqrt(20*100*10^-6)
= 3.56 Hz
2) at resonant freqiency, impedance, z = R
= 200 ohm (since XL = XC)
3) Imax = Vmax/z
= Vmax/R
= 80/200
= 0.40 A
4) phase shift, phi = tan^-1((XL - XC)/R)
= 0 (since XL = XC)
5) quality factor, cos(phi) = cos(0)
= 1
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