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An LC circuit contains a 20 mH inductor and a 50 μF capacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Natural frequency of the circuit is
- a)129 Hz
- b)149 Hz
- c)159 Hz
- d)139 Hz
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An LC circuit contains a 20 mH inductor and a 50μFcapacitor with ...
Natural frequency of the circuit, f = 1/2π√(LC)
here, L = 20mH = 20 × 10-3 H, C = 50μF = 50 × 10-6 C
so, f = 1/2π√(20 × 10-3 × 50 × 10-6)
= 1/2π√(1000 × 10-9)
= 1/2π√(10-6)
= 1000/2π = 500/π Hz ≈ 159 Hz
here, L = 20mH = 20 × 10-3 H, C = 50μF = 50 × 10-6 C
so, f = 1/2π√(20 × 10-3 × 50 × 10-6)
= 1/2π√(1000 × 10-9)
= 1/2π√(10-6)
= 1000/2π = 500/π Hz ≈ 159 Hz
Most Upvoted Answer
An LC circuit contains a 20 mH inductor and a 50μFcapacitor with ...
LC Circuit Natural Frequency Calculation:
Given Data:
- Inductance (L) = 20 mH = 0.02 H
- Capacitance (C) = 50 μF = 50 x 10^(-6) F
- Initial charge (Q) = 10 mC = 10 x 10^(-3) C
Formula for Natural Frequency (ω):
- ω = 1 / √(LC)
Calculations:
- Substitute the given values in the formula:
- ω = 1 / √(0.02 x 50 x 10^(-6))
- ω = 1 / √(10 x 10^(-6))
- ω = 1 / (10^(-3))
- ω = 1000 rad/s
Conversion to Hertz:
- Natural frequency in Hertz (f) can be calculated as:
- f = ω / (2π)
- f = 1000 / (2 x 3.14159)
- f ≈ 159 Hz
Therefore, the natural frequency of the LC circuit is approximately 159 Hz. Hence, the correct answer is option 'c'.
Given Data:
- Inductance (L) = 20 mH = 0.02 H
- Capacitance (C) = 50 μF = 50 x 10^(-6) F
- Initial charge (Q) = 10 mC = 10 x 10^(-3) C
Formula for Natural Frequency (ω):
- ω = 1 / √(LC)
Calculations:
- Substitute the given values in the formula:
- ω = 1 / √(0.02 x 50 x 10^(-6))
- ω = 1 / √(10 x 10^(-6))
- ω = 1 / (10^(-3))
- ω = 1000 rad/s
Conversion to Hertz:
- Natural frequency in Hertz (f) can be calculated as:
- f = ω / (2π)
- f = 1000 / (2 x 3.14159)
- f ≈ 159 Hz
Therefore, the natural frequency of the LC circuit is approximately 159 Hz. Hence, the correct answer is option 'c'.
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An LC circuit contains a 20 mH inductor and a 50μFcapacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Natural frequency of the circuit isa)129 Hzb)149 Hzc)159 Hzd)139 HzCorrect answer is option 'C'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about An LC circuit contains a 20 mH inductor and a 50μFcapacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Natural frequency of the circuit isa)129 Hzb)149 Hzc)159 Hzd)139 HzCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An LC circuit contains a 20 mH inductor and a 50μFcapacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Natural frequency of the circuit isa)129 Hzb)149 Hzc)159 Hzd)139 HzCorrect answer is option 'C'. Can you explain this answer?.
An LC circuit contains a 20 mH inductor and a 50μFcapacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Natural frequency of the circuit isa)129 Hzb)149 Hzc)159 Hzd)139 HzCorrect answer is option 'C'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about An LC circuit contains a 20 mH inductor and a 50μFcapacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Natural frequency of the circuit isa)129 Hzb)149 Hzc)159 Hzd)139 HzCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An LC circuit contains a 20 mH inductor and a 50μFcapacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Natural frequency of the circuit isa)129 Hzb)149 Hzc)159 Hzd)139 HzCorrect answer is option 'C'. Can you explain this answer?.
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An LC circuit contains a 20 mH inductor and a 50μFcapacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Natural frequency of the circuit isa)129 Hzb)149 Hzc)159 Hzd)139 HzCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for An LC circuit contains a 20 mH inductor and a 50μFcapacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Natural frequency of the circuit isa)129 Hzb)149 Hzc)159 Hzd)139 HzCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of An LC circuit contains a 20 mH inductor and a 50μFcapacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Natural frequency of the circuit isa)129 Hzb)149 Hzc)159 Hzd)139 HzCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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