A Reconfigurable RCL Circuit. A series RCL circuit is composed of a resistor (R = 220 0), two identical capacitors (C = 3.70 nF) connected in series, and two identical inductors (L = 5.30 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) Number 359 Units kHz (b) Ceg(parallel) and Leg(series) Number i 359 Units kHz Ceq(series) and Leg(parallel) Number 719 Units kHz Ceq(parallel) and Leg(parallel) Number i Units 180. kHz (c) Maximum capacitance Number i 1.50e-8 Units nF Minimum capacitance Number i 9.25e-10 Units nF > >

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Author:Robert L. Boylestad
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A Reconfigurable RCL Circuit. A series RCL circuit is composed of a resistor (R = 220 0), two identical capacitors (C = 3.70 nF)
connected in series, and two identical inductors (L = 5.30 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)
Number
359
Units
kHz
(b) Ceg(parallel) and Leg(series)
Number
i
359
Units
kHz
Ceq(series) and Leg(parallel) Number
719
Units
kHz
Ceq(parallel) and Leg(parallel) Number
i
Units
180.
kHz
(c) Maximum capacitance
Number
i
1.50e-8
Units
nF
Minimum capacitance
Number
i 9.25e-10
Units
nF
>
>
Transcribed Image Text:A Reconfigurable RCL Circuit. A series RCL circuit is composed of a resistor (R = 220 0), two identical capacitors (C = 3.70 nF) connected in series, and two identical inductors (L = 5.30 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) Number 359 Units kHz (b) Ceg(parallel) and Leg(series) Number i 359 Units kHz Ceq(series) and Leg(parallel) Number 719 Units kHz Ceq(parallel) and Leg(parallel) Number i Units 180. kHz (c) Maximum capacitance Number i 1.50e-8 Units nF Minimum capacitance Number i 9.25e-10 Units nF > >
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