Toroidal Solenoid

  • #1
If I have a solenoid in the shape of a toroid (i.e. solenoid joined end to end) the magnetic field produced by the flow of charge will produce a concentrated magnetic field within the coil.

How would I go about calculating the size of the magnetic field outside of the coil due to magnetic field leakage?

Any advice much appreciated.

LB
 

Answers and Replies

  • #2
stevendaryl
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If I have a solenoid in the shape of a toroid (i.e. solenoid joined end to end) the magnetic field produced by the flow of charge will produce a concentrated magnetic field within the coil.

How would I go about calculating the size of the magnetic field outside of the coil due to magnetic field leakage?

Any advice much appreciated.

LB
I think that a good approximation would be to assume that the magnetic field [itex]\vec{B}[/itex] inside the soldenoid is directed perpendicular to the plane of each coil and is zero outside of the solenoid. Then you can use Ampere's law to compute it:

[itex]\int B \cdot d\mathcal{l} = \mu I[/itex]

The meaning of that equation is that if you imagine drawing a closed loop that encloses a bunch of wires, then the total current enclosed by the loop is equal to the line integral of [itex]B[/itex] around the loop.
 

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