The correct curve between the magnetic induct | vedclass

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(A) For a long solenoid of length $L$ and $n$ turns per unit length,the magnetic field $B$ at a point on the axis at a distance $x$ from one end is gi

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(A) For a long solenoid of length $L$ and $n$ turns per unit length,the magnetic field $B$ at a point on the axis at a distance $x$ from one end is given by the formula:$B = \frac{\mu_0 ni}{2} (\cos 	heta_1 - \cos 	heta_2)$At one end $(x=0)$,the field is $B = \frac{\mu_0 ni}{2}$.As we move inside the solenoid,the field increases and approaches the value $B = \mu_0 ni$ at the center.Thus,the magnetic induction $B$ starts from $\frac{\mu_0 ni}{2}$ at the end and increases to $\mu_0 ni$ as we move towards the center of the solenoid.The correct curve representing this variation is shown in option $A$.

The correct curve between the magnetic induction $(B)$ along the axis of a long solenoid due to current flow $i$ in it and distance $x$ from one end is:

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