Where:
Magnetic Force (F) = 0 N
The force is perpendicular to both the velocity and the magnetic field.
Direction can be determined using the right-hand rule.
Force per Unit Length (F/L) = 0 N/m
Given:
Calculation:
F = qvB sin(θ) = (1.6 × 10⁻¹⁹) × (2.0 × 10⁶) × 0.5 × sin(90°)
F = 1.6 × 10⁻¹³ N
F = ILB sin(θ) = 5 × 0.3 × 0.8 × sin(60°)
F ≈ 1.04 N
The magnetic force on a moving charged particle is given by the Lorentz force law:
F = qvB sin(θ)
The direction of the force is perpendicular to both the velocity and the magnetic field, following the right-hand rule.
The magnetic force on a current-carrying wire in a magnetic field is:
F = ILB sin(θ)
This is essentially the Lorentz force applied to the moving charges (electrons) in the wire.
For long wires, we often consider the force per unit length:
F/L = IB sin(θ)
This is useful for calculating forces on extended conductors in magnetic fields.