A Reconfigurable RCL Circuit. A series RCL circuit is composed of a resistor (R = 22002), two identical capacitors (C = 3.40 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) (b) Ceq(parallel) and Leg(series) Ceq(series) and Leg(parallel) Maximum capacitance Number Minimum capacitance Number Ceq(parallel) and Leg(parallel) Number Mi Number i Number MI i THE Number i Units Units Units Units Units Units ( () <> (

University Physics Volume 2
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ISBN:9781938168161
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Chapter15: Alternating-current Circuits
Section: Chapter Questions
Problem 62CP: A 1.5k resistor and 30-mH inductor are connected in series, as below, across a120-V(rms)ac power...
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A Reconfigurable RCL Circuit. A series RCL circuit is composed of a
resistor (R = 22002), two identical capacitors (C = 3.40 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)
(b) Ceq(parallel) and Leg(series)
Number
Ceq(series) and Leg(parallel) Number
Maximum capacitance
Number
Ceq (parallel) and Leg(parallel) Number
Minimum capacitance
Number
Number
IN
Mi
MI
p
i
T
Units
Units
Units
Units
Units
Units
<>
<>
()
Transcribed Image Text:A Reconfigurable RCL Circuit. A series RCL circuit is composed of a resistor (R = 22002), two identical capacitors (C = 3.40 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) (b) Ceq(parallel) and Leg(series) Number Ceq(series) and Leg(parallel) Number Maximum capacitance Number Ceq (parallel) and Leg(parallel) Number Minimum capacitance Number Number IN Mi MI p i T Units Units Units Units Units Units <> <> ()
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