Torque produced by a coil: Exercise

The torque produced by a coil is calculated using Lorentz's law and the magnetic moment.
Formulas
1. *Torque (τ)*: τ = μ × B × sin(θ)
2. *Magnetic moment (μ)*: μ = N × I × A
Variables
1. *μ*: Magnetic moment (A m²)
2. *B*: Magnetic field (teslas, T)
3. *N*: Number of turns
4. *I*: Current (ampere, A)
5. *A*: Coil area (m²)
6. *θ*: Angle between μ and B
Units
1. *Newton-meters (N·m)*: Unit of torque
2. *Amperes-square meters (A·m²)*: Unit of magnetic moment
3. *Teslas (T)*: Unit of magnetic field
Applications
1. Electric motors
2. Electric generators
3. Transformers
4. Magnetic actuators
5. Energy storage devices
Examples
1. Induction motor: τ = 10 N m, μ = 0.1 A m², B = 0.5 T
2. Relay coil: τ = 0.1 N m, μ = 0.01 A m², B = 0.2 T