The correct curve between the magnetic induct | vedclass

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(A) For a long solenoid,the magnetic field $B$ at the center is given by $B_{center} = \mu_0 n i$.At the ends of the solenoid,the magnetic field is $B

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(A) For a long solenoid,the magnetic field $B$ at the center is given by $B_{center} = \mu_0 n i$.At the ends of the solenoid,the magnetic field is $B_{end} = \frac{1}{2} \mu_0 n i = \frac{1}{2} B_{center}$.As we move from one end $(x=0)$ towards the center,the magnetic field increases from $\frac{1}{2} B_{center}$ to $B_{center}$ and then remains approximately constant near the center before decreasing again as we approach the other end.Graph $A$ correctly represents this variation,showing a gradual increase from the end,a plateau at the center,and a symmetric decrease towards the other end.

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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