Question:

A long cylindrical wire of radius R carries a uniform current I flowing through it. The variation of magnetic field with distance ‘r’ from the axis of the wire is shown by

Updated On: Apr 2, 2025
  • A long cylindrical wire of radius R
  • A long cylindrical wire of radius R
  • A long cylindrical wire of radius R
  • A long cylindrical wire of radius R
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The Correct Option is C

Approach Solution - 1

The correct option is (C): A long cylindrical wire of radius R
The magnetic field increases as the point moves closer to the boundary of the wire and decreases as it moves away from the boundary of the wire.
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Approach Solution -2

For a long cylindrical wire carrying a uniform current, the magnetic field at a distance \( r \) from the axis of the wire increases linearly with \( r \) inside the wire (for \( r < R \)), as given by Ampère's Law. Outside the wire (for \( r > R \)), the magnetic field decreases with \( 1/r \).

Therefore, the correct graph showing the variation of magnetic field \( B \) with distance \( r \) is option (A).

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