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Moving Charges And Magnetism

Question
CBSEENPH12039997

A square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is bold F with bold rightwards arrow on top, the net force on the remaining three arms of the loops is

  • bold F with bold rightwards arrow on top

  • -bold F with bold rightwards arrow on top

  • negative 3 space bold F with bold rightwards arrow on top
  • bold F with bold rightwards arrow on top

Solution

B.

-bold F with bold rightwards arrow on top

When a current carrying loop is placed in a magnetic field, the coil experiences a torque given by  T = NBiA sin θ. Torque is maximum when θ =90, i.e. the plane of the coil is parallel to the field Tmax NBiA


Force stack bold F subscript bold 1 with bold rightwards arrow on top and bold F with bold rightwards arrow on top subscript 2 acting on the coil are equal in magnitude and opposite in direction. As the forces  stack bold F subscript bold 1 with bold rightwards arrow on top and bold F with bold rightwards arrow on top subscript 2  have the same line action their reultant effect on the coil is zero. 
The two forces stack bold F subscript bold 3 with bold rightwards arrow on top bold space bold and bold space stack bold F subscript bold 4 with bold rightwards arrow on top
 are equal in magnitude and opposite in direction. As the two forces have different lines of action, they constitute a torque .Thus, if the force on one arc of the loop is bold F with bold rightwards arrow on top, the net force on the remaining three arms of the loop is -F.