In an electric motor, a coil with 100 turns of radius 2.0 cm can rotate between the poles of a m

step 1 In this question, we have an electric motor. It consists of a coil which has a radius of two cen

In an electric motor, a coil with 100 turns of radius 2.0 cm...

In an electric motor, a coil with 100 turns of radius $2.0 \mathrm{cm}$ can rotate between the poles of a magnet. The magnetic field magnitude is $0.20 \mathrm{T}$. When the current through the coil is $50.0 \mathrm{mA},$ what is the maximum torque that the motor can deliver?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Torque on a Current Loop

In a magnetic field, a current-carrying loop experiences a torque due to the interaction between its magnetic dipole moment and the external field. The torque is given by the vector cross product of the magnetic moment and the magnetic field, and its magnitude determines the effectiveness of the force in producing rotational motion.

Maximization Condition

The maximum torque on a current loop occurs when the magnetic dipole moment is perpendicular to the magnetic field. This is because the sine of the angle between the vectors reaches its maximum value (i.e., sin 90° = 1), resulting in the most efficient conversion of magnetic forces into rotational motion.

Magnetic Dipole Moment

This concept refers to the quantity that expresses the strength and orientation of a coil's magnetic field in response to an electric current. It is calculated as the product of the current, the area of the coil, and the number of turns, and it serves as a measure of how the coil interacts with an external magnetic field.

Transcript

Please give Ace some feedback