A Reconfigurable RCL Circuit. A series RCL circuit is composed of a resistor (R = 220 22), two identical capacitors (C = 3.60 nF) connected in series, and two identical inductors (L = 6.20 x 10-5 H) connected in series. You and your team need to determine: (a) the resonant frequency of this configuration. (b) What are all of the other possible resonant frequencies that can be attained by reconfiguring the capacitors and inductors (while using all of the components and keeping the proper series RCL order)? (c) If you were to design a circuit using only one of the given inductors and one adjustable capacitor, what would the range of the variable capacitor need to be in order to cover all of the resonant frequencies found in (a) and (b)?
A Reconfigurable RCL Circuit. A series RCL circuit is composed of a resistor (R = 220 22), two identical capacitors (C = 3.60 nF) connected in series, and two identical inductors (L = 6.20 x 10-5 H) connected in series. You and your team need to determine: (a) the resonant frequency of this configuration. (b) What are all of the other possible resonant frequencies that can be attained by reconfiguring the capacitors and inductors (while using all of the components and keeping the proper series RCL order)? (c) If you were to design a circuit using only one of the given inductors and one adjustable capacitor, what would the range of the variable capacitor need to be in order to cover all of the resonant frequencies found in (a) and (b)?
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Transcribed Image Text:A Reconfigurable RCL Circuit. A series RCL circuit is composed of a resistor (R = 220 ), two identical
capacitors (C = 3.60 nF) connected in series, and two identical inductors (L = 6.20 × 10-5 H) connected
in series. You and your team need to determine:
(a) the resonant frequency of this configuration.
(b) What are all of the other possible resonant frequencies that can be attained by reconfiguring the
capacitors and inductors (while using all of the components and keeping the proper series RCL order)?
(c) If you were to design a circuit using only one of the given inductors and one adjustable capacitor,
what would the range of the variable capacitor need to be in order to cover all of the resonant
frequencies found in (a) and (b)?
(a)
(b) Ceq (parallel) and Leq(series)
Ceq (series) and Leg(parallel)
Ceq (parallel) and
Leg(parallel)
(c) Maximum capacitance
Minimum capacitance
Number i 4.17
Number
Number
Number
Number
i
2.08
i 7.40
MO
2.86
i 1.8
Number i 7.2
Units
Units
Units
Units kHz
Units
kHz
Units
kHz
kHz
nF
nF
<
<
<
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VIEWStep 2: calculate equivalent capacitance and inductance and resonant frequency for part a
VIEWStep 3: calculate equivalent capacitance and inductance for part b
VIEWStep 4: Calculate resonant frequency for part b
VIEWStep 5: calculate Maximum and Minimum Capacitance
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