Engineering
Physics
Magnetic Field
Magnetic Moment
Torque on a Current Loop
Question

In the above problem, the torque is

6 Nm into the page

3 Nm into the page

3 Nm out of the page

6 Nm out of the page

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Solution
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Torque (τ) is calculated by τ = r × F, where r is the position vector and F is the force. Its magnitude is τ = rF sinθ. The direction is given by the right-hand rule: curl fingers from r to F, thumb points in the torque direction.

For a force applied perpendicular to a wrench, τ = rF. If r = 2 m and F = 3 N, then τ = 2×3 = 6 Nm. Using the right-hand rule for the given configuration, the torque vector is out of the page.

Final answer: 6 Nm out of the page