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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): When capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current.
Reason (R): The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan φ = XL - XC /R.
  • 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 and R is true
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Directions : In the following questions, A statement of Assertion (A)...
The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan φ = XL - XC /R. If XC < xl,="" then="" tan="" j="" is="" positive.="" φ="" is="" also="" positive.="" so,="" e.m.f.="" leads="" the="" current.="" assertion="" and="" reason="" both="" are="" true.="" reason="" properly="" explains="" the="" assertion.="" xl,="" then="" tan="" j="" is="" positive.="" φ="" is="" also="" positive.="" so,="" e.m.f.="" leads="" the="" current.="" assertion="" and="" reason="" both="" are="" true.="" reason="" properly="" explains="" the="" />
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Directions : In the following questions, A statement of Assertion (A)...
Understanding the Assertion (A)
When dealing with a series LCR (Inductor-Capacitor-Resistor) circuit, the behavior of the circuit is determined by the relationship between capacitive reactance (XC) and inductive reactance (XL).
- Capacitive Reactance (XC): This opposes the change in voltage.
- Inductive Reactance (XL): This opposes the change in current.
When XC < xl,="" it="" indicates="" that="" the="" inductive="" reactance="" dominates,="" causing="" the="" circuit="" to="" behave="" like="" an="" />
Assertion Explanation
- In this scenario, the e.m.f. (electromotive force) or voltage actually leads the current. This is a key characteristic of inductive circuits.
- Therefore, Assertion (A) is true.
Understanding the Reason (R)
The angle φ, which represents the phase difference between voltage and current, is given by the formula:
- tan φ = (XL - XC) / R
Here, R represents the resistance in the circuit.
- If XL > XC: The circuit is inductive, and voltage leads current.
- If XC > XL: The circuit is capacitive, and current leads voltage.
Reason Explanation
- The formula correctly describes the relationship of the phase angle in an LCR circuit where the behavior of the circuit is dependent on the difference between XL and XC.
- Thus, Reason (R) is also true and provides a valid explanation for Assertion (A).
Conclusion
- Given that both Assertion (A) and Reason (R) are true, and R correctly explains A, the correct answer is option (A): Both A and R are true and R is the correct explanation of A.
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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): When capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current.Reason (R): The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan φ = XL - XC /R.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 and R is trueCorrect answer is option 'A'. Can you explain this answer?
Question Description
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): When capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current.Reason (R): The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan φ = XL - XC /R.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 and R is trueCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): When capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current.Reason (R): The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan φ = XL - XC /R.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 and R is trueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): When capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current.Reason (R): The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan φ = XL - XC /R.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 and R is trueCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): When capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current.Reason (R): The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan φ = XL - XC /R.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 and R is trueCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): When capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current.Reason (R): The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan φ = XL - XC /R.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 and R is trueCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): When capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current.Reason (R): The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan φ = XL - XC /R.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 and R is trueCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): When capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current.Reason (R): The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan φ = XL - XC /R.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 and R is trueCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): When capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current.Reason (R): The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan φ = XL - XC /R.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 and R is trueCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): When capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current.Reason (R): The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan φ = XL - XC /R.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 and R is trueCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 12 tests.
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