Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A toroid has number of turns per unit length n, current i, then the magnetic field is
Text Solution
Verified by ExpertsThe correct answer is:
A
To determine the magnetic field of a toroid, we can use Ampère's law, which states that the line integral of the magnetic field around a closed loop is equal to the permeability times the current enclosed by that loop.
Step 1: For a toroid, we consider a circular path of radius r (the mean radius of the toroid) and we can express the magnetic field B inside the toroid as uniform.
Step 2: According to Ampère's law:
\[ B \cdot 2 \pi r = \mu_0 n I \]
where \( n \) is the number of turns per unit length and \( I \) is the current.
Step 3: Rearranging gives us the expression for the magnetic field B:
\[ B = \frac{\mu_0 n I}{2 \pi r} \]
Thus, Option A corresponds to this derived formula. Therefore, the correct answer is A.
Step 1: For a toroid, we consider a circular path of radius r (the mean radius of the toroid) and we can express the magnetic field B inside the toroid as uniform.
Step 2: According to Ampère's law:
\[ B \cdot 2 \pi r = \mu_0 n I \]
where \( n \) is the number of turns per unit length and \( I \) is the current.
Step 3: Rearranging gives us the expression for the magnetic field B:
\[ B = \frac{\mu_0 n I}{2 \pi r} \]
Thus, Option A corresponds to this derived formula. Therefore, the correct answer is A.
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