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(C) The magnetic induction $B$ along the axis of a toroidal solenoid is given by the formula:$B = \mu_0 n I$where $n = \frac{N}{2 \pi r}$ is the numbe

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radius of the toroidal solenoid.

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(C) The magnetic induction $B$ along the axis of a toroidal solenoid is given by the formula:$B = \mu_0 n I$where $n = \frac{N}{2 \pi r}$ is the number of turns per unit length.Substituting $n$ into the formula,we get:$B = \frac{\mu_0 N I}{2 \pi r}$Here,$\mu_0$ is the permeability of free space,$N$ is the total number of turns,$I$ is the current,and $r$ is the radius of the toroidal solenoid.However,in the standard expression $B = \mu_0 n I$,the term $n$ represents the number of turns per unit length. For a toroid,the magnetic field is uniform inside the core. The expression $B = \mu_0 n I$ shows that the field depends on the current and the turn density. Since $n$ is defined as $N/L$ (where $L = 2 \pi r$),the field is effectively independent of the radius $r$ if $n$ is kept constant.Thus,the magnetic induction is independent of the radius of the toroidal solenoid.

The magnetic induction along the axis of a toroidal solenoid is independent of

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