Mutual inductance

  • Thread starter Frillth
  • Start date
  • #1
80
0

Homework Statement



qq21ld.png


Homework Equations



Φ = M*I
Biot-Savart law
Ampere's law

The Attempt at a Solution



I have the formula Φ = M*I, which means that to find the mutual inductance I simply need to find the magnetic flux through the top circuit due to the current in the bottom circuit. However, I don't yet have a solid grasp of Ampere's law. Is there a way to use Ampere's law in this situation, or am I going to have to grind it out with Biot-Savart?
 

Answers and Replies

  • #2
LowlyPion
Homework Helper
3,090
4
I have the formula Φ = M*I, which means that to find the mutual inductance I simply need to find the magnetic flux through the top circuit due to the current in the bottom circuit. However, I don't yet have a solid grasp of Ampere's law. Is there a way to use Ampere's law in this situation, or am I going to have to grind it out with Biot-Savart?
Looks like you will have a double integral for each point along the second wire for all the contribution from points on the first, then integrated over its own length.

See also:
http://en.wikipedia.org/wiki/Inductance#Mutual_inductance
 
  • #3
80
0
Can I use Biot-Savart to find the magnetic field at some general point (x,y) in the plane, then integrate that over the area of the top loop to get flux?
 
  • #4
Redbelly98
Staff Emeritus
Science Advisor
Homework Helper
Insights Author
12,116
152
What's the B-field of a long straight wire?
 

Related Threads on Mutual inductance

  • Last Post
Replies
2
Views
521
  • Last Post
Replies
0
Views
1K
  • Last Post
Replies
10
Views
742
  • Last Post
Replies
7
Views
3K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
17
Views
3K
  • Last Post
Replies
0
Views
880
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
4K
Top