For the series circuit of Fig. 20.50: a. Find the value of X1 for resonance. b. Determine the magnitude of the current I at reso- + VR R = 20 nance. + c. Find the voltages VR, VL and Vc at resonance, and compare their magnitudes. d. Determine the quality factor of the circuit. Is it a high- or low-Q circuit? e. If the resonant frequency is 5 kHz, determine the value of L and C. E () 20 mV Xc 40 Ω Vε FIG. 20.50 f. Find the bandwidth of the response if the resonant fre- quency is 5 kHz. g. What are the low and high cutoff frequencies? Problem 3.

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Chapter15: Alternating-current Circuits
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Resonance
For the series circuit of Fig. 20.50:
a. Find the value of X, for resonance.
+ Vp
VL
ll
b. Determine the magnitude of the current I at reso-
R = 20
nance.
c. Find the voltages VR V, and Vc at resonance, and
compare their magnitudes.
d. Determine the quality factor of the circuit. Is it a high-
or low-Q circuit?
e. If the resonant frequency is 5 kHz, determine the value
of L and C.
E () 20 mV
X 40 Ω ν.
FIG. 20.50
f. Find the bandwidth of the response if the resonant fre-
Problem 3.
quency is 5 kHz.
g. What are the low and high cutoff frequencies?
Transcribed Image Text:For the series circuit of Fig. 20.50: a. Find the value of X, for resonance. + Vp VL ll b. Determine the magnitude of the current I at reso- R = 20 nance. c. Find the voltages VR V, and Vc at resonance, and compare their magnitudes. d. Determine the quality factor of the circuit. Is it a high- or low-Q circuit? e. If the resonant frequency is 5 kHz, determine the value of L and C. E () 20 mV X 40 Ω ν. FIG. 20.50 f. Find the bandwidth of the response if the resonant fre- Problem 3. quency is 5 kHz. g. What are the low and high cutoff frequencies?
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