Force and Torque on Current Loops Video Lessons

Concept

# Problem: Consider the torque on a loop of current in a magnetic field.A) At what angle θ (in degrees between 0 and 90°) between the field and the normal to the face of the loop is the torque on the loop 90.0% of maximum?B) At what angle θ (in degrees) is the torque on a current loop 50.0% of maximum?C) At what angle θ (in degrees) is the torque on a current loop 10.0% of maximum?

###### FREE Expert Solution

Torque on a current-carrying loop is given by:

$\overline{){\mathbf{\tau }}{\mathbf{=}}{\mathbf{N}}{\mathbf{B}}{\mathbf{A}}{\mathbf{i}}{\mathbf{·}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\theta }}}$, where N is the number of loops, B is the magnetic field strength, A is the area made by the wire arrangements, i is the current, and θ is the angle between B and A.

The maximum torque acting on a current-carrying loop is given by:

$\overline{){{\mathbf{\tau }}}_{\mathbf{m}\mathbf{a}\mathbf{x}}{\mathbf{=}}{\mathbf{N}}{\mathbf{B}}{\mathbf{A}}{\mathbf{i}}}$

A)

We're told that the torque is 90.0% of the maximum.

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###### Problem Details

Consider the torque on a loop of current in a magnetic field.

A) At what angle θ (in degrees between 0 and 90°) between the field and the normal to the face of the loop is the torque on the loop 90.0% of maximum?

B) At what angle θ (in degrees) is the torque on a current loop 50.0% of maximum?

C) At what angle θ (in degrees) is the torque on a current loop 10.0% of maximum?