AC circuit Multiple choice question

In summary, the conversation discusses the correct options for a circuit's reactance at different frequencies. Inductive reactance increases as frequency increases while capacitive reactance decreases. The correct options were a) and d), but the net reactance of the circuit also increases, so only option a) is correct. At very low frequency, inductive reactance is greater than capacitive reactance. The total reactance increases slightly when frequency is increased. The person also realizes that they need to pay more attention to details in order to answer questions accurately.
  • #1
Jahnavi
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102

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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  • #2
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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  • #3
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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  • #4
You're welcome!
 
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What is an AC circuit?

An AC circuit, or alternating current circuit, is a type of electrical circuit where the current flow periodically changes direction. This is in contrast to a DC circuit, where the current flows in only one direction.

What is the difference between series and parallel AC circuits?

In a series AC circuit, all components are connected in a single loop, meaning the current flow through each component is the same. In a parallel AC circuit, the components are connected in separate branches, meaning the current can flow through each branch independently.

How do you calculate the impedance of an AC circuit?

The impedance of an AC circuit is calculated by adding the resistive, capacitive, and inductive components together using the following formula: Z = √(R^2 + (Xl - Xc)^2), where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance.

What is the phase difference in an AC circuit?

The phase difference in an AC circuit refers to the difference in timing between the voltage and current waves. In a purely resistive circuit, the voltage and current waves are in phase, meaning they peak and trough at the same time. In a circuit with inductive or capacitive components, the voltage and current waves can be out of phase, leading or lagging behind each other.

How does frequency affect an AC circuit?

The frequency of an AC circuit refers to the number of complete cycles the current flow goes through in one second. As the frequency increases, the reactance of inductive and capacitive components also increases, leading to changes in the overall impedance and current flow in the circuit.

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