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A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:
- a)25rad/s and 75rad/s
- b)50rad/s and 25rad/s
- c)46rad/s and 54rad/s
- d)42rad/s and 58rad/s
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and...
L = 5H, C = 80μF, R = 40ω; ∈rms = 230 V
Half power frequencies,
Here, (40 × 80 × 10−6)2 is negligible.
We get,
ω1 = 46 rad⁄s
And ω2 = 54 rad⁄s
Half power frequencies,
Here, (40 × 80 × 10−6)2 is negligible.
We get,
ω1 = 46 rad⁄s
And ω2 = 54 rad⁄s
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Community Answer
A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and...
Ω resistor, and a 0.20 F capacitor is connected to an AC voltage source with a frequency of 50 Hz.
To find the resonant frequency of the circuit, we can use the formula:
fr = 1 / (2π√(LC))
where fr is the resonant frequency, L is the inductance, and C is the capacitance.
Given:
L = 5.0 H
C = 0.20 F
Substituting these values into the formula, we get:
fr = 1 / (2π√(5.0 H * 0.20 F))
Simplifying the expression inside the square root:
fr = 1 / (2π√(1.0 H * 0.20 F))
fr = 1 / (2π√(0.2 H.F))
fr = 1 / (2π√(0.2 H * F))
Now, we can substitute the frequency given as 50 Hz:
fr = 1 / (2π√(0.2 H * 50 Hz))
Simplifying further:
fr = 1 / (2π√(10 H.Hz))
fr = 1 / (2π√(10 H.Hz))
fr = 1 / (2π√(10 H.Hz))
fr ≈ 0.159 Hz
Therefore, the resonant frequency of the circuit is approximately 0.159 Hz.
To find the resonant frequency of the circuit, we can use the formula:
fr = 1 / (2π√(LC))
where fr is the resonant frequency, L is the inductance, and C is the capacitance.
Given:
L = 5.0 H
C = 0.20 F
Substituting these values into the formula, we get:
fr = 1 / (2π√(5.0 H * 0.20 F))
Simplifying the expression inside the square root:
fr = 1 / (2π√(1.0 H * 0.20 F))
fr = 1 / (2π√(0.2 H.F))
fr = 1 / (2π√(0.2 H * F))
Now, we can substitute the frequency given as 50 Hz:
fr = 1 / (2π√(0.2 H * 50 Hz))
Simplifying further:
fr = 1 / (2π√(10 H.Hz))
fr = 1 / (2π√(10 H.Hz))
fr = 1 / (2π√(10 H.Hz))
fr ≈ 0.159 Hz
Therefore, the resonant frequency of the circuit is approximately 0.159 Hz.
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A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:a)25rad/s and 75rad/sb)50rad/s and 25rad/sc)46rad/s and 54rad/sd)42rad/s and 58rad/sCorrect answer is option 'C'. Can you explain this answer?
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A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:a)25rad/s and 75rad/sb)50rad/s and 25rad/sc)46rad/s and 54rad/sd)42rad/s and 58rad/sCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:a)25rad/s and 75rad/sb)50rad/s and 25rad/sc)46rad/s and 54rad/sd)42rad/s and 58rad/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:a)25rad/s and 75rad/sb)50rad/s and 25rad/sc)46rad/s and 54rad/sd)42rad/s and 58rad/sCorrect answer is option 'C'. Can you explain this answer?.
A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:a)25rad/s and 75rad/sb)50rad/s and 25rad/sc)46rad/s and 54rad/sd)42rad/s and 58rad/sCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:a)25rad/s and 75rad/sb)50rad/s and 25rad/sc)46rad/s and 54rad/sd)42rad/s and 58rad/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:a)25rad/s and 75rad/sb)50rad/s and 25rad/sc)46rad/s and 54rad/sd)42rad/s and 58rad/sCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:a)25rad/s and 75rad/sb)50rad/s and 25rad/sc)46rad/s and 54rad/sd)42rad/s and 58rad/sCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
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A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:a)25rad/s and 75rad/sb)50rad/s and 25rad/sc)46rad/s and 54rad/sd)42rad/s and 58rad/sCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:a)25rad/s and 75rad/sb)50rad/s and 25rad/sc)46rad/s and 54rad/sd)42rad/s and 58rad/sCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:a)25rad/s and 75rad/sb)50rad/s and 25rad/sc)46rad/s and 54rad/sd)42rad/s and 58rad/sCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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