AC circuit Multiple choice question

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Homework Help Overview

The discussion revolves around an AC circuit multiple-choice question involving inductive and capacitive reactance. Participants are analyzing the effects of frequency on these reactances and their implications for the correct answer choices.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between frequency and reactance, noting that inductive reactance increases while capacitive reactance decreases with increasing frequency. Questions are raised about which reactance is greater at very low frequencies and the implications for total reactance.

Discussion Status

Some participants have provided insights into the reasoning behind their answer choices, while others reflect on their assumptions and the importance of careful reading of the question. There is an acknowledgment of the complexity of the problem, with multiple interpretations being explored.

Contextual Notes

Participants are working under the constraint that more than one option may be correct, and there is a focus on understanding the behavior of reactance at different frequencies.

Jahnavi
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Homework Statement


mcq.png


More than one options may be correct .

Homework Equations


Inductive reactance =ωL

Capacitive reactance = 1/ωC

The Attempt at a Solution



On increasing the frequency , inductive reactance increases whereas capacitive reactance decreases . Thus , option a) is correct .

But since net reactance of the circuit also increases , option d) should also be correct .

So I think both a) and d) are correct .

But this is wrong .
 

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Jahnavi said:

Homework Statement


View attachment 217049

More than one options may be correct .

Homework Equations


Inductive reactance =ωL

Capacitive reactance = 1/ωC

The Attempt at a Solution



On increasing the frequency , inductive reactance increases whereas capacitive reactance decreases . Thus , option a) is correct .

But since net reactance of the circuit also increases , option d) should also be correct .

So I think both a) and d) are correct .

But this is wrong .
Which one is greater at very low frequency? XL or Xc?

What is the total reactance here? What happens to it when you increase the frequency 'slightly'?
 
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cnh1995 said:
Which one is greater at very low frequency? XL or Xc?

I was missing the key thing ( " at very low frequency " ) and incorrectly assuming inductive reactance to be greater than capacitive reactance .Thus getting option d) .

I need to be more attentive while reading the question .

Thank you so much :smile:
 
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You're welcome!
 
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