How to Calculate the Magnetic Field in a Toroid?

AI Thread Summary
To calculate the magnetic field in a toroid, the correct formula involves the permeability of free space (μ0), the current (I), the number of turns (N), and the radius (R) of the toroid. The magnetic field (B) at a point inside the toroid can be expressed as B = (μ0 * N * I) / (2 * π * R), where R is the radius at the point of interest. The discussion highlights confusion regarding the variables used in the formula, particularly the distinction between r and R. It emphasizes the need to clarify the definitions of these variables to apply the formula correctly. Accurate calculations require understanding the geometry of the toroid and the positioning of the magnetic field.
dangish
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The toroid shown in the figure has a wire carrying a current I= 7.10 Amperes wrapped around it N= 820 times. The inner radius is R1 23.0 cm and outer radius R2 27.6cm.

Figure:
http://capaserv.physics.mun.ca/msuph...ob01_torus.gif


What is the magnitude of the magnetic field along a circle that is halfway between the inner and outer edges of the toroid?

Here is what I tried,

B = u0*I*r*N / (2Pi*R^2)

maybe I have to divide N by the current and replace the N in my equation above by N/I??

Please help
 
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dangish said:
Here is what I tried,

B = u0*I*r*N / (2Pi*R^2)

maybe I have to divide N by the current and replace the N in my equation above by N/I??

Please help
That formula doesn't look right. Where did you get it from, and what are r and R?
 
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