What Orientation Produces Maximum Torque in a Magnetic Field?

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The discussion focuses on determining the orientation that produces maximum torque in a magnetic field, using the formula T = NIA sin(theta). Maximum torque occurs when sin(theta) is equal to 1, which corresponds to an angle of 90 degrees between the magnetic field and the current direction. The participant calculated a torque magnitude of 18 Newton-meters but is uncertain about the angle used for this calculation. Clarification is sought on the optimal angle for achieving maximum torque. Understanding the relationship between the angle and torque is crucial for solving the problem effectively.
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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

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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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