Which of the following graphs represents the | vedclass

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(B) For a point inside the wire $(r < a)$:The magnetic field is given by $B_{in} = \frac{\mu_0 I r}{2 \pi a^2}$.Thus, $B_{in} \propto r$, which repres

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(B) For a point inside the wire $(r The magnetic field is given by $B_{in} = \frac{\mu_0 I r}{2 \pi a^2}$.Thus, $B_{in} \propto r$, which represents a straight line passing through the origin.For a point outside the wire $(r > a)$:The magnetic field is given by $B_{out} = \frac{\mu_0 I}{2 \pi r}$.Thus, $B_{out} \propto \frac{1}{r}$, which represents a rectangular hyperbola.At the surface $(r = a)$, the magnetic field is maximum: $B_{max} = \frac{\mu_0 I}{2 \pi a}$.Therefore, the graph shows a linear increase up to $r = a$ and then a hyperbolic decrease for $r > a$.

Which of the following graphs represents the magnetic field $(B)$ versus distance $(r)$ from the centre of a long straight conducting wire of uniform cross-sectional area carrying a steady current $I$ and having radius $a$?

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