Toroid and Solenoid Flux

  • Thread starter radicaled
  • Start date
  • #1
10
0
This is more a theoretical question than a practical one.
Basically I want to know if the formulas I arrive for the flux of a Toroid and a Solenoid are correct

Leaving aside the integration part this is the basic formula for the flux
[itex]\phi = BNA[/itex]
B = magnetic field
N = number of turns of the solenoid/toroid
A = Area

So for the solenoid I arrive to this:
[itex]B = \mu nI[/itex] -> n = N/L
[itex]A = 2\pi r(r+l)[/itex] this is the area for a cylinder
[itex]\phi = \mu nINA = \frac{\mu IN^{2}}{L}2\pi r(r+L)[/itex]

For the toroid I arrive to this:
[itex]B = \frac{\mu NI}{2\pi r}[/itex]
[itex]\phi = \int BNdr = \frac{\mu IN^{2}}{2\pi}ln\frac{b}{a} [/itex]
 

Answers and Replies

Related Threads on Toroid and Solenoid Flux

  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
401
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
19K
  • Last Post
Replies
4
Views
4K
  • Last Post
Replies
2
Views
9K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
1
Views
4K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
4
Views
4K
Top