AC circuit Multiple choice question

Click For Summary
Increasing frequency affects inductive and capacitive reactance differently, with inductive reactance increasing and capacitive reactance decreasing. Initially, it was believed that both options a) and d) were correct based on this behavior. However, at very low frequencies, capacitive reactance is actually greater than inductive reactance, leading to a misunderstanding of the total reactance in the circuit. The discussion emphasizes the importance of carefully reading the question to avoid such errors. Attention to detail is crucial in solving AC circuit problems effectively.
Jahnavi
Messages
848
Reaction score
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 .
 

Attachments

  • mcq.png
    mcq.png
    22 KB · Views: 909
Physics news on Phys.org
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'?
 
  • Like
Likes Jahnavi
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:
 
  • Like
Likes Asymptotic, berkeman and Delta2
You're welcome!
 
  • Like
Likes Asymptotic, Delta2 and Jahnavi
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 9 ·
Replies
9
Views
10K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 30 ·
2
Replies
30
Views
5K
Replies
2
Views
2K
Replies
19
Views
6K
  • · Replies 4 ·
Replies
4
Views
2K