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The Figure below shows an infinitely long metallic wire YY' which is carrying a current I'. P is a point at a perpendicular distance r from it.

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Question

The Figure below shows an infinitely long metallic wire YY' which is carrying a current I'.

P is a point at a perpendicular distance r from it.

  1. What is the direction of magnetic flux density B of the magnetic field at the point P?
  2. What is the magnitude of magnetic flux density B of the magnetic field at the point P?
  3. Another metallic wire MN having length l and carrying a current I is now kept at point P. If the two wires are in vacuum and parallel to each other, how much force acts on the wire MN due to the current I' flowing in the wire YY'?
Numerical
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Solution

(i) The magnetic flux density B at point P will be directed perpendicularly inside the paper plane according to right-hand palm rule no. 2.

(ii) `B = ("μ"_0I)/(4pi) ⋅ (2I)/r`

(iii) `F = ("μ"_0)/(4pi) ⋅ (2II)/(r) xx l` (l is the length of the wire)

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