(a) What is the maximum torque on a 150 -turn square loop of wire 18.0 cm on a side that carries

step 1 So the formula for part A to find the torque would be equaling N -I -A -B sine of theta. So here

(a) What is the maximum torque on a 150 -turn square loop of...

(a) What is the maximum torque on a 150 -turn square loop of wire $18.0 \mathrm{cm}$ on a side that carries a 50.0 - $\mathrm{A}$ current in a 1.60 -T field? (b) What is the torque when $\theta$ is $10.9^{\circ} ?$

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Key Concepts

Magnetic Dipole Moment

This concept refers to the vector quantity that represents the strength and orientation of a current loop's magnetic influence. It is calculated as the product of the current, the number of turns, and the area of the loop, and it determines how the loop interacts with an external magnetic field.

Torque on a Magnetic Dipole

This is the rotational force experienced by a magnetic dipole when placed in a magnetic field. The torque is given by the cross product of the magnetic dipole moment and the magnetic field, and its magnitude is expressed as ? = ?B sin?, where ? is the angle between the magnetic moment and the magnetic field.

Effect of Loop Orientation

The orientation of the current loop relative to the magnetic field is crucial, as it affects the magnitude of the torque. The maximum torque occurs when the angle ? between the magnetic dipole moment and the magnetic field is 90° (since sin90° = 1), and any deviation from this orientation causes the torque to decrease proportionally with sin?.

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