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

step 1 All right, we have a coil of wire placed in a magnetic field. When the current is turned on, a t

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

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 strength 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?

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Key Concepts

Magnetic Torque

Magnetic torque is the turning force exerted on a current-carrying coil when it is placed in a magnetic field. It arises from the interaction between the magnetic moment of the coil and the external magnetic field, with the maximum torque achieved when the magnetic moment is perpendicular to the field.

Magnetic Moment

The magnetic moment is a measure of the strength and orientation of a coil's magnetism, which is determined by the product of the number of turns, the electric current through the coil, and the area enclosed by the coil. It plays a vital role in determining how strongly the coil interacts with an external magnetic field.

Area of a Coil

The area of a coil is a key geometrical factor that influences its magnetic moment. For a circular coil, the area is calculated using the formula A = ?r², where r is the radius of the coil. This area directly impacts the magnitude of the magnetic moment, and hence the torque experienced in a magnetic field.

Magnetic Field

The magnetic field is a vector field that represents the magnetic influence in space, quantified by its strength in Teslas. It interacts with current-carrying conductors and magnetic moments, producing forces and torques that drive the operation of devices like electric motors.

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