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Moving Charges and Magnetism question

2022 · Q164
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Moving Charges and Magnetism question

2022 · Q164

NEETPhysicsMoving Charges and MagnetismMCQ+4 / −1

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

  1. A
    Uniform and remains constant for both the regions.
  2. B
    A linearly increasing function of distance upto the boundary of the wire and then linearly decreasing for the outside region.
  3. C
    A linearly increasing function of distance r upto the boundary of the wire and then decreasing one with 1r{1 \over r}r1​ dependence for the outside region.
  4. D
    A linearly decreasing function of distance upto the boundary of the wire and then a linearly increasing one of the outside region.
View written solutionFree

Correct answer: C

For solid wire

Inside point

$$B = {{{\mu _0}I{r^2}} \over {{R^2} \times 2\pi {r}}}$$

$$ = {{{\mu _0}Ir} \over {{R^2} \times 2\pi }}$$

$B \propto r$

Outside point

$$B = {{{\mu _0}I} \over {2\pi r}}$$

$$B \propto {1 \over r}$$

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