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Topic: Ampere's law: straight wire and solenoid· Magnetic Effects of Current and Magnetism

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

2. uniform and remains constant for both the regions.

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

4. a linearly increasing function of distance r upto the boundary of the wire and then decreasing one with \(1/r\) dependence for the outside region.

1 answer

Best answer

Answer: 4. a linearly increasing function of distance r upto the boundary of the wire and then decreasing one with \(1/r\) dependence for the outside region.

Apply Ampere's law to a circle of radius \(r\).

  • Inside the wire (\(r
  • Outside (\(r>a\)), full current is enclosed, so \(B=\dfrac{\mu_0I}{2\pi r}\propto\dfrac1r\).

Option (4) is correct.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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