Question:

A wire of length 0.5 m carrying current 4 A is placed perpendicular to a magnetic field of 0.2 T. The force exerted on the wire is

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For a wire perpendicular to a magnetic field: \[ F=BIL \] because \(\sin 90^\circ =1\).
Updated On: Apr 27, 2026
  • 0.1 N
  • 0.2 N
  • 0.4 N
  • 0.6 N
  • 1.0 N
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The Correct Option is C

Solution and Explanation

Force on a current carrying conductor is: \[ F=BIL\sin\theta \] Since the wire is perpendicular to the field: \[ \theta=90^\circ,\qquad \sin 90^\circ =1 \] Given: \[ B=0.2\text{ T},\quad I=4\text{ A},\quad L=0.5\text{ m} \] So, \[ F=0.2\times 4\times 0.5 = 0.4\text{ N} \]
Hence, the correct answer is: \[ \boxed{(C)\ 0.4\text{ N}} \]
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