A wire of length #0.680 m# carries a current of #21.0 A#. In the presence of a #0.470 T# magnetic field, the wire experiences a force of #5.41 N#. What is the angle (less than #90°#) between the wire and the magnetic field?

1 Answer
Jul 2, 2016

Answer:

#alpha=53.13^@#

Explanation:

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Given

  • #L->"Length of the current carrying wire"=0.680m#

  • #B->"Applied magnetic field"=0.47 T#

  • #I->"Current passing through wire"=21A#

  • #F->"Force experienced by the wire"=5.41N#

  • #alpha->"Angle between the wire and magnetic field"=?#

Working Formula

  • #vecF=vec(IL)xxvecB=ILBsinalpha#

Putting the given values

#5.41=21xx0.680xx0.47xxsinalpha#

#=>sinalpha=5.41/(21xx0.680xx0.47)~~0.8#

#alpha=53.13^@#