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Electromagnetic theory miscellaneous

Electromagnetic Theory

  1. If a conductor of cross-section A and carrying a current current | a y| is oriented along the y-axis in a magnetic field B = B0 a x + B0 a y, the force density exerted on the conductor is—

    1. +
      B0
      az N/m2
      a

    2. +
      B0
      ax N/m2
      a

    3. B0
      az N/m3
      a

    4. +
      B0
      ay N/m3
      a
Correct Option: C

The force on a current carrying mass lying in a magnetic field B is given by

F = .(J × B) dv
vol

J = 1/y iy
∴ The force density = 1/y iy × B0 (ix + iy)
= 1/a B0 (– iz) N/m3
= B0/a a>z N/m3
Hence alternative (C) is the correct choice.



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