What Orientation Produces Maximum Torque in a Magnetic Field?

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SUMMARY

The discussion centers on determining the orientation that produces maximum torque in a magnetic field, specifically using the formula T(torque) = (N)(I)(A)(B)(Sin(theta)). The maximum torque occurs when the angle theta is 90 degrees, as this maximizes the sine function. A participant calculated the torque magnitude to be 18 Newton-meters but sought clarification on the optimal orientation for achieving maximum torque. The angle theta, which represents the angle between the coil and the magnetic field direction, is crucial for this calculation.

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  • Understanding of torque in physics
  • Familiarity with magnetic fields and induction
  • Knowledge of trigonometric functions, specifically sine
  • Basic principles of electromagnetism
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Homework Statement


The problem is as seen in the attachment.

Homework Equations


T(torque) = (N)(I)(A)(B)(Sin(theta))

The Attempt at a Solution


For this question I used the above formula to find the magnitude of the torque, but what I am not sure about is which orientation would produce the "maximum torque" that it is asking about.

Could someone please tell me which orientation would give a "maximum torque" and why?

By the way, I calculated the magnitude of the torque to be 18 Newton*meters.
 

Attachments

Last edited:
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\theta is the angle between the coil and the the direction of magnetic induction. or rather the direction of the current and the magnetic induction. Now try putting the values of \theta accordingly and try and get the answer. By the way, what did you take the value theta to be, when you calculated its magnitude as 18Nm?
 

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