The magnetic field inside a tightly wound, long solenoid is B = µ₀ ni. It suggests that the field does not depend on the total length of the solenoid, and hence if we add more loops at the ends of a solenoid the field should not increase. Explain qualitatively why the extra-added loops do not have a considerable effect on the field inside the solenoid.

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Solution

The magnetic field due to a long solenoid is given as B = µ₀ni, where n is the number of loops per unit length. So, if we add more loops at the ends of the solenoid, there will be an increase in the number of loops and an increase in the length, due to which the ratio n will remain unvaried, thereby leading to not a considerable effect on the field inside the solenoid.

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B = \frac{μ_{0} n i l}{2 a}

I

I I

Column $I$	Column $I I$
$a .$ Magnetic field inside a long straight solenoid is	$p .$ not constant
$b .$ Magnetic field inside a toroidal solenoid is	$q .$ zero
$c .$ Magnetic field inside a conducting hollow pipe having current parallel to its axis is	$r .$ constant
$d .$ Magnetic field due to current carrying wire on its surface is	$s .$ maximum

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