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(C) The magnetic field $B$ at the center of a long solenoid is given by the formula $B = \mu_{0} n_{total} I$,where $n_{total}$ is the number of turns

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independent of $D$

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(C) The magnetic field $B$ at the center of a long solenoid is given by the formula $B = \mu_{0} n_{total} I$,where $n_{total}$ is the number of turns per unit length.Given that there are $n$ layers and each layer has $N$ turns over a length $L$,the total number of turns per unit length is $n_{total} = \frac{n 	imes N}{L}$.Substituting this into the formula,we get $B = \mu_{0} \left( \frac{n N}{L} ight) I$.Since the expression for the magnetic field $B$ does not contain the diameter $D$,the magnetic field at the center is independent of the diameter $D$.

$A$ long solenoid of length $L$ has a mean diameter $D$. It has $n$ layers of winding of $N$ turns each. If it carries a current $I$,the magnetic field at its centre will be

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