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NEET PHYSICSMedium

From Ampere's circuital law for a long straight wire of circular cross-section carrying a steady current, the variation of magnetic field in the inside and outside region of the wire is

A

Uniform and remains constant for both the regions.

B

A linearly increasing function of distance upto the boundary of the wire and then linearly decreasing for the outside region.

C

A linearly increasing function of distance rr upto the boundary of the wire and then decreasing one with 1r\frac{1}{r} dependence for the outside region.

D

A linearly decreasing function of distance upto the boundary of the wire and then a linearly increasing one for the outside region.

Step-by-Step Solution

Inside the wire (r<Rr < R), the magnetic field B=μ0Ir2πR2B = \frac{\mu_0 I r}{2 \pi R^2}, which is linearly increasing with rr. Outside the wire (r>Rr > R), the magnetic field B=μ0I2πrB = \frac{\mu_0 I}{2 \pi r}, which is proportional to 1r\frac{1}{r}.

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