Force and Torque on Current Loops Video Lessons

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Problem: The 20.0 cm by 35.0 cm rectangular circuit shown in the figure is hinged along side ab. It carries a clockwise I = 5.35 A current and is located in a uniform 1.45 T magnetic field oriented perpendicular to two of its sides, as shown.a) Which force exerts a torque about the hinge ab?b) Calculate only the force that exert the torque mentioned in part A.c) Use your results from part B to calculate the torque that the magnetic field exerts on the circuit about the hinge axis ab.

FREE Expert Solution

Magnetic force on a current-carrying conductor:

FB=BiLsinθ

Torque:

τ=rF

(a)

Side ab has no force because the current i is zero. 

For side bc, magnetic field and current are parallel (θ = 0°). sin 0 = 0. The force is zero.

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Problem Details

The 20.0 cm by 35.0 cm rectangular circuit shown in the figure is hinged along side ab. It carries a clockwise I = 5.35 A current and is located in a uniform 1.45 T magnetic field oriented perpendicular to two of its sides, as shown.

The 20.0 cm by 35.0 cm rectangular circuit shown i

a) Which force exerts a torque about the hinge ab?

b) Calculate only the force that exert the torque mentioned in part A.

c) Use your results from part B to calculate the torque that the magnetic field exerts on the circuit about the hinge axis ab.

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