Magnetic field at a distance r from an infinitely long straight conductor carrying a steady current varies as

  1. 1/r2
  2. 1/r
  3. 1/r3
  4. 1/√r

Answer (Detailed Solution Below)

Option 2 : 1/r
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Detailed Solution

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CONCEPT: 

The magnetic field at point P due to a straight conductor is given by:

B = \(μ_0 I \over{2\pi d}\)

where B is the magnetic field at point P, μ0 permeability of the medium I is the current in the in the wire and d is the distance from the wire to that point.

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EXPLANATION:

At distance r from an infinitely long straight current carrying conductor, magnetic field is:

B = \(μ_0 I \over{2\pi r}\)

where B is the magnetic field, μ0 permeability of the medium I is the current in the wire, and r is the distance from the wire to that point.

So B α 1/r

The correct answer is option 2.

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