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A series RLC circuit has the resistance of 16 Ω and the current lags behind the voltage by 45°. If the voltage across inductor is thrice the voltage across capacitor, then find the value of inductance reactance in ohms?
- a)5
- b)15
- c)8
- d)24
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A series RLC circuit has the resistance of 16 Ω and the current ...
Ohms, the inductance of 0.1 H, and the capacitance of 0.01 F. The circuit is connected to an AC voltage source with a frequency of 60 Hz.
To analyze the circuit, we can calculate the impedance of the circuit using the formula:
Z = √(R^2 + (Xl - Xc)^2)
Where:
Z = impedance
R = resistance = 16 ohms
Xl = inductive reactance = 2πfL = 2π(60)(0.1) = 37.7 ohms
Xc = capacitive reactance = 1 / (2πfC) = 1 / (2π(60)(0.01)) = 26.5 ohms
Plugging in the values:
Z = √(16^2 + (37.7 - 26.5)^2)
Z = √(256 + 11.2^2)
Z = √(256 + 125.44)
Z = √381.44
Z = 19.54 ohms
Therefore, the impedance of the series RLC circuit is 19.54 ohms.
To analyze the circuit, we can calculate the impedance of the circuit using the formula:
Z = √(R^2 + (Xl - Xc)^2)
Where:
Z = impedance
R = resistance = 16 ohms
Xl = inductive reactance = 2πfL = 2π(60)(0.1) = 37.7 ohms
Xc = capacitive reactance = 1 / (2πfC) = 1 / (2π(60)(0.01)) = 26.5 ohms
Plugging in the values:
Z = √(16^2 + (37.7 - 26.5)^2)
Z = √(256 + 11.2^2)
Z = √(256 + 125.44)
Z = √381.44
Z = 19.54 ohms
Therefore, the impedance of the series RLC circuit is 19.54 ohms.
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Community Answer
A series RLC circuit has the resistance of 16 Ω and the current ...
Given R = 10 Ω
Also given that voltage lags current hence circuit has lagging power factor
Also given that voltage lags current hence circuit has lagging power factor
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A series RLC circuit has the resistance of 16 Ω and the current lags behind the voltage by 45°. If the voltage across inductor is thrice the voltage across capacitor, then find the value of inductance reactance in ohms?a)5b)15c)8d)24Correct answer is option 'D'. Can you explain this answer?
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A series RLC circuit has the resistance of 16 Ω and the current lags behind the voltage by 45°. If the voltage across inductor is thrice the voltage across capacitor, then find the value of inductance reactance in ohms?a)5b)15c)8d)24Correct answer is option 'D'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2024 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about A series RLC circuit has the resistance of 16 Ω and the current lags behind the voltage by 45°. If the voltage across inductor is thrice the voltage across capacitor, then find the value of inductance reactance in ohms?a)5b)15c)8d)24Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A series RLC circuit has the resistance of 16 Ω and the current lags behind the voltage by 45°. If the voltage across inductor is thrice the voltage across capacitor, then find the value of inductance reactance in ohms?a)5b)15c)8d)24Correct answer is option 'D'. Can you explain this answer?.
A series RLC circuit has the resistance of 16 Ω and the current lags behind the voltage by 45°. If the voltage across inductor is thrice the voltage across capacitor, then find the value of inductance reactance in ohms?a)5b)15c)8d)24Correct answer is option 'D'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2024 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about A series RLC circuit has the resistance of 16 Ω and the current lags behind the voltage by 45°. If the voltage across inductor is thrice the voltage across capacitor, then find the value of inductance reactance in ohms?a)5b)15c)8d)24Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A series RLC circuit has the resistance of 16 Ω and the current lags behind the voltage by 45°. If the voltage across inductor is thrice the voltage across capacitor, then find the value of inductance reactance in ohms?a)5b)15c)8d)24Correct answer is option 'D'. Can you explain this answer?.
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A series RLC circuit has the resistance of 16 Ω and the current lags behind the voltage by 45°. If the voltage across inductor is thrice the voltage across capacitor, then find the value of inductance reactance in ohms?a)5b)15c)8d)24Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A series RLC circuit has the resistance of 16 Ω and the current lags behind the voltage by 45°. If the voltage across inductor is thrice the voltage across capacitor, then find the value of inductance reactance in ohms?a)5b)15c)8d)24Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A series RLC circuit has the resistance of 16 Ω and the current lags behind the voltage by 45°. If the voltage across inductor is thrice the voltage across capacitor, then find the value of inductance reactance in ohms?a)5b)15c)8d)24Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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