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Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.
Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.
Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.
- a)Both A and R are true, and R is the correct explanation of A
- b)Both A and R are true, but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Assertion (A): When a series RLC circuit is in resonance, the current ...
We know that, in a series RLC circuit impedance is given by
Current flowing in the circuit is given by I = V/Z
Where, Z is impedance
R is resistance
XL is inductive reactance
XC is capacitive reactance
At resonance condition, the inductive resistance is equal to capacitive reactance.
At this condition, Z = R which is minimum value of impedance
At minimum impedance, the current flowing in the circuit is maximum
Hence both A and R are true, and R is the correct explanation of A.
Where, Z is impedance
R is resistance
XL is inductive reactance
XC is capacitive reactance
At resonance condition, the inductive resistance is equal to capacitive reactance.
At this condition, Z = R which is minimum value of impedance
At minimum impedance, the current flowing in the circuit is maximum
Hence both A and R are true, and R is the correct explanation of A.
Most Upvoted Answer
Assertion (A): When a series RLC circuit is in resonance, the current ...
Resonance in a Series RLC Circuit
Resonance in a series RLC circuit occurs when the inductive reactance (XL) and the capacitive reactance (XC) are equal in magnitude. At resonance, the total impedance of the circuit is minimized, resulting in maximum current flow through the circuit.
Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.
The assertion is true. When a series RLC circuit is in resonance, the current flowing in the circuit is maximum. This is because at resonance, the total impedance of the circuit is at its minimum value. The impedance of the circuit is given by the formula Z = √(R^2 + (XL - XC)^2), where R is the resistance of the circuit, XL is the inductive reactance, and XC is the capacitive reactance.
At resonance, XL = XC, which means that (XL - XC) = 0. Therefore, the impedance of the circuit reduces to Z = √(R^2 + 0^2) = R. Since the impedance is purely resistive at resonance, the circuit behaves as a purely resistive circuit. According to Ohm's Law, the current flowing through a resistive circuit is given by I = V/R, where V is the applied voltage. As the impedance reduces to just the resistance, the current flowing in the circuit will be maximum when the circuit is in resonance.
Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.
The reason is true. At resonance, the inductive reactance (XL) and the capacitive reactance (XC) are equal in magnitude. The inductive reactance is given by XL = 2πfL, where f is the frequency of the applied voltage and L is the inductance of the circuit. The capacitive reactance is given by XC = 1/(2πfC), where C is the capacitance of the circuit.
At resonance, XL = XC, which can be mathematically represented as 2πfL = 1/(2πfC). Simplifying this equation gives f = 1/(2π√(LC)). This equation shows that the frequency at which the inductive reactance and the capacitive reactance are equal is dependent on the values of inductance (L) and capacitance (C) in the circuit.
Conclusion:
Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
Resonance in a series RLC circuit occurs when the inductive reactance (XL) and the capacitive reactance (XC) are equal in magnitude. At resonance, the total impedance of the circuit is minimized, resulting in maximum current flow through the circuit.
Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.
The assertion is true. When a series RLC circuit is in resonance, the current flowing in the circuit is maximum. This is because at resonance, the total impedance of the circuit is at its minimum value. The impedance of the circuit is given by the formula Z = √(R^2 + (XL - XC)^2), where R is the resistance of the circuit, XL is the inductive reactance, and XC is the capacitive reactance.
At resonance, XL = XC, which means that (XL - XC) = 0. Therefore, the impedance of the circuit reduces to Z = √(R^2 + 0^2) = R. Since the impedance is purely resistive at resonance, the circuit behaves as a purely resistive circuit. According to Ohm's Law, the current flowing through a resistive circuit is given by I = V/R, where V is the applied voltage. As the impedance reduces to just the resistance, the current flowing in the circuit will be maximum when the circuit is in resonance.
Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.
The reason is true. At resonance, the inductive reactance (XL) and the capacitive reactance (XC) are equal in magnitude. The inductive reactance is given by XL = 2πfL, where f is the frequency of the applied voltage and L is the inductance of the circuit. The capacitive reactance is given by XC = 1/(2πfC), where C is the capacitance of the circuit.
At resonance, XL = XC, which can be mathematically represented as 2πfL = 1/(2πfC). Simplifying this equation gives f = 1/(2π√(LC)). This equation shows that the frequency at which the inductive reactance and the capacitive reactance are equal is dependent on the values of inductance (L) and capacitance (C) in the circuit.
Conclusion:
Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
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Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?
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Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? for Railways 2025 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?.
Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? for Railways 2025 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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Here you can find the meaning of Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Assertion (A): When a series RLC circuit is in resonance, the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.a)Both A and R are true, and R is the correct explanation of Ab)Both A and R are true, but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Railways tests.
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