Mutual inductance between a very long, straight wire and a Semicircular loop

Click For Summary
The discussion focuses on calculating the magnetic flux (Φ) between a long straight wire and a semicircular loop, starting with the magnetic field expression B = µI/2π(R + rcosθ). Participants confirm the correctness of the flux expression but suggest avoiding polar coordinates due to integration complexity. They explore alternative integration methods, particularly using vertical strips, and discuss the variable height of these strips. The conversation includes a substitution of variables to simplify the integral, ultimately leading to a more manageable form for calculating the flux. The thread concludes with participants expressing gratitude for the assistance in resolving the mathematical challenges.
  • #31
peace said:
could I use x from the beginning?
You mean the x of post #9? Yes. Try it.
 
  • Like
Likes hutchphd
Physics news on Phys.org
  • #32
TSny said:
You mean the x of post #9? Yes. Try it.
OK. Thank you very much for your great help.
 
  • Like
Likes hutchphd
  • #33
You're welcome. Enjoy your studies.
 
  • Like
Likes peace

Similar threads

Magnetic flux through a triangular loop?
  • · Replies 6 ·
Replies
6
Views
6K
Mutual Inductance between a coil and a long straight wire
  • · Replies 6 ·
Replies
6
Views
2K
Mutual inductance of a long wire and a triangular loop?
  • · Replies 2 ·
Replies
2
Views
9K
How to calculate the mutual inductance?
  • · Replies 3 ·
Replies
3
Views
2K
Current in circular wire surrounding infinite solenoid in a circuit
  • · Replies 7 ·
Replies
7
Views
1K
Magnetic field at origin due to infinite wires and semicircular turn
  • · Replies 3 ·
Replies
3
Views
3K
Forces of a straight wire on a semi-circular wire loop (Magnetism)
  • · Replies 17 ·
Replies
17
Views
3K
Mutual inductance of a coil and straight wire
  • · Replies 1 ·
Replies
1
Views
12K
Circular loop of wire is concentric with a solenoid
  • · Replies 10 ·
Replies
10
Views
4K
Electromagnetic Induction (Long straight wire above circulua
  • · Replies 1 ·
Replies
1
Views
3K