Lorentz force equation
from class:
College Physics III – Thermodynamics, Electricity, and Magnetism
Definition
The Lorentz force equation describes the force experienced by a charged particle moving through an electric and magnetic field. It is given by $\mathbf{F} = q(\mathbf{E} + \mathbf{v} \times \mathbf{B})$, where $q$ is the charge, $\mathbf{E}$ is the electric field, $\mathbf{v}$ is the velocity of the particle, and $\mathbf{B}$ is the magnetic field.
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5 Must Know Facts For Your Next Test
- The Lorentz force combines both electric and magnetic forces acting on a charged particle.
- Its mathematical form is $\mathbf{F} = q(\mathbf{E} + \mathbf{v} \times \mathbf{B})$.
- In the absence of a magnetic field ($\mathbf{B} = 0$), it simplifies to $\mathbf{F} = q\mathbf{E}$.
- The direction of the magnetic component of the Lorentz force is given by the right-hand rule.
- It plays a crucial role in understanding how electromagnetic waves interact with charged particles.
Review Questions
- What does each term represent in the equation $\mathbf{F} = q(\mathbf{E} + \mathbf{v} \times \mathbf{B})$?
- How does the Lorentz force change if there is no electric field present?
- Why is the right-hand rule important for determining the direction of the Lorentz force?
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