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A series LCR circuit with a 5.0 H inductor, an capacitor, and a resistor is connected to a 230V variable frequency AC source. Find the angular frequencies of the source at which the power transferred to the circuit is half the power at the resonant angular frequency.
40 rad/s and 60 rad/s
46.1 rad/s and 54.1 rad/s
50 rad/s and 60 rad/s
30 rad/s and 70 rad/s
In a series LCR circuit with L = 2.5 H, C = , and R = connected to a 115V variable frequency AC source, determine the angular frequencies at which the power transferred is half the power at resonance.
80 rad/s and 120 rad/s
92.3 rad/s and 108.7 rad/s
100 rad/s and 110 rad/s
70 rad/s and 130 rad/s
A radio receiver uses a series LCR circuit with L = 10 mH, C = , and R = . If the input signal voltage is 1 mV, find the angular frequencies at which the power absorbed by the circuit is half the power at resonance.
and
and
and
and
In a series LCR circuit, the half-power frequencies are 45 rad/s and 55 rad/s. If the resistance is , what is the inductance if the capacitance is ?
2.5 H
5 H
10 H
20 H
A series LCR circuit with R = has half-power frequencies of 200 rad/s and 300 rad/s. If the inductance is 0.1 H, what is the capacitance?
10 μF
20 μF
33.3 μF (approximately)
40 μF
For optimal performance in a communication circuit utilizing an configuration, which of the following combinations offers the most effective tuning?
High , low , low
Low , high , high
High , high , low
Low , low , high
An circuit is used for communication purposes. To maximize the circuit's sensitivity to a specific frequency, which combination of , , and values should be chosen?
High , low , high
Low , high , low
High , low , low
Low , low , high
In an circuit designed for communication, minimizing the bandwidth of the received signal is crucial. Which of the following combinations of , , and values would best achieve this narrow bandwidth?
High , high , low
Low , high , high
High , low , low
Low , low , low
To achieve sharp resonance in an circuit used for communication, what should be the ideal combination of inductance (), capacitance (), and resistance () values?
High , low , low
Low , high , low
High , high , high
Low , low , high
Which of the following combinations of , , and values would lead to a higher quality factor () in an circuit used in a communication system?
Low , low , low
High , low , low
Low , high , high
High , high , low