Show that the expression for the magnetic field of a toroid reduces to that for the field of an infinite solenoid in the limit that the central radius goes to infinity.
Show that the expression for the magnetic field of a toroid reduces to that for the field of an infinite solenoid in the limit that the central radius goes to infinity.
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Show that the expression for the magnetic field of a toroid reduces to that for the field of an infinite solenoid in the limit that the central radius goes to infinity.
Expert Solution
Step 1
Here we know that the magnetic field inside a toroid is not uniform, it varies inversely proportional to the distance R from the axis and it is written as;
----(1)
Here, N is the number of turns.
' I ' is the current.
R is the distance.
Step 2
For net magnetic field the integration of magnetic field goes to infinity is written as;
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