Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Consider the following statements:i. Power fa...
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Consider the following statements:
i. Power factor will be unity.
ii. Current in circuit will be maximum.
iii. Current in circuit will be minimum.
Which of these statements are correct with respect to resonance in R-L-C parallel circuit?
- a)i, ii and iii
- b)i and ii only
- c)ii and iii only
- d)i and iii only
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Consider the following statements:i. Power factor will be unity.ii. Cu...
Parallel RLC circuit:
The characteristic equation is given as,
The bandwidth of a parallel RLC network is given as:
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Consider the following statements:i. Power factor will be unity.ii. Cu...
Resonance in an R-L-C parallel circuit occurs when the inductive reactance (XL) equals the capacitive reactance (XC). At resonance, the impedance of the circuit becomes purely resistive, and the circuit exhibits certain characteristics. Let's analyze each statement in detail:
i. Power factor will be unity:
- At resonance, the impedance of the circuit is purely resistive, so there is no reactive power flowing in the circuit.
- Since the reactive power is zero, the power factor becomes unity (cosine of zero is 1).
- Therefore, statement i is correct.
ii. Current in the circuit will be maximum:
- At resonance, the impedance of the circuit is minimum because the reactances cancel each other out.
- According to Ohm's law, the current in a circuit is inversely proportional to the impedance.
- As the impedance decreases at resonance, the current in the circuit increases.
- Therefore, statement ii is correct.
iii. Current in the circuit will be minimum:
- This statement is incorrect because, as explained above, the current in the circuit is maximum at resonance.
- Therefore, statement iii is incorrect.
In summary, statements i and ii are correct, while statement iii is incorrect. Hence, the correct answer is option 'D' - i and iii only.
i. Power factor will be unity:
- At resonance, the impedance of the circuit is purely resistive, so there is no reactive power flowing in the circuit.
- Since the reactive power is zero, the power factor becomes unity (cosine of zero is 1).
- Therefore, statement i is correct.
ii. Current in the circuit will be maximum:
- At resonance, the impedance of the circuit is minimum because the reactances cancel each other out.
- According to Ohm's law, the current in a circuit is inversely proportional to the impedance.
- As the impedance decreases at resonance, the current in the circuit increases.
- Therefore, statement ii is correct.
iii. Current in the circuit will be minimum:
- This statement is incorrect because, as explained above, the current in the circuit is maximum at resonance.
- Therefore, statement iii is incorrect.
In summary, statements i and ii are correct, while statement iii is incorrect. Hence, the correct answer is option 'D' - i and iii only.
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Consider the following statements:i. Power factor will be unity.ii. Current in circuit will be maximum.iii. Current in circuit will be minimum.Which of these statements are correct with respect to resonance in R-L-C parallel circuit?a)i, ii and iiib)i and ii onlyc)ii and iii onlyd)i and iii onlyCorrect answer is option 'D'. Can you explain this answer?
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