Magnetic Field inside Solenoid and EMF

  • Thread starter jderm
  • Start date
  • #1
jderm
15
0

A small loop of area A is placed inside a long solenoid that has n turns per meter and carries a sinusoidally varying current of amplitude i. The central axes of the loop and solenoid coincide. If i = i0sin ωt, find the emf in the loop.





EMFinduced = - d([tex]\phi[/tex]B)/ dt
[tex]\phi[/tex]B=BA
Bsolenoid= [tex]\mu[/tex]0ni





The product of B and A = A[tex]\mu[/tex]0ni0sin (ωt)
So the derivative of [tex]\phi[/tex]B with respect to time:
=A[tex]\mu[/tex]0ni0cos (ωt) ω
so;
EMFinduced = - A[tex]\mu[/tex]0ni0cos (ωt) ω

Apparently this is incorrect. I'm sorry about the sloppy formatting, could someone help me out with this?
 

Answers and Replies

  • #2
Illuminitwit
22
0
EMF = nABω sinωt
F(magnetism) = B • i • l
F(mag) = qvB

I don't know if that helps much, but those are a few more equations that might apply, although I think you already had them in various forms. If you had the magnitude of electrical/magnetic force or the length it might be easier. Sorry...
 

Suggested for: Magnetic Field inside Solenoid and EMF

Replies
8
Views
370
Replies
41
Views
1K
Replies
4
Views
286
  • Last Post
Replies
4
Views
391
Replies
15
Views
455
Replies
18
Views
499
  • Last Post
Replies
1
Views
252
Replies
11
Views
577
Replies
3
Views
299
  • Last Post
2
Replies
37
Views
782
Top