Mutual Inductance of the cylinder coils

Click For Summary
SUMMARY

The discussion centers on calculating the mutual inductance of two coils wrapped around the same cylinder. When the current in the first coil decreases at a rate of -0.242 A/s, the induced electromotive force (emf) in the second coil is measured at 0.00165 Volts. The calculation performed using the formula E_2 = -M(d_i_1/d_t) yields a mutual inductance of 0.006818 H, which contradicts the book's answer of 1.96 H. Participants agree that the calculation appears correct, suggesting the book may contain an error.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the formula for induced emf (E = -M(dI/dt))
  • Knowledge of units for inductance (Henries)
  • Basic skills in algebra for manipulating equations
NEXT STEPS
  • Review the concept of mutual inductance in electromagnetic theory
  • Study the derivation and applications of Faraday's Law of Induction
  • Explore examples of mutual inductance calculations in different configurations
  • Consult additional resources or textbooks for verification of inductance values
USEFUL FOR

Students in electrical engineering, physics enthusiasts, and professionals working with electromagnetic systems who seek to deepen their understanding of mutual inductance calculations.

Romperstomper
Two coils are wrapped around the same cylinder form. When the current in the first coil is decreasing at a rate of -.242A/s, the induced emf in the second coil has a magnitude of .00165 Volts. What is the mutual inductance?

What I did:

[tex]E_2 = -M(\frac{d_i_1}{d_t})[/tex]

.00165/-.242 = -M

.006818H.

The answer given is 1.96H. I went over it several times and I keep coming back to this equation. Am I wrong, or is the book wrong?
 
Physics news on Phys.org
I assume the book's wrong, your working looks fine to me.
 


Based on the given values and the equation you used, it seems like your calculation is correct. However, it is always a good idea to double check your work and make sure you are using the correct units and conversions. It is also possible that the answer given in the book is incorrect. You may want to consult with a classmate or your instructor to see if they can confirm the correct answer.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 16 ·
Replies
16
Views
5K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 9 ·
Replies
9
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
13
Views
3K
Replies
3
Views
4K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 3 ·
Replies
3
Views
5K