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MrRa [10]
2 years ago
14

The friends take a few minutes to discuss their ideas. Which of Amy's comments with respect to a charged particle moving in a ma

gnetic field is false? "The magnitude FB of the magnetic force exerted on the particle is proportional to the magnitude of the charge q and to the speed v of the particle." "The magnetic force acting on a charged particle moving in a magnetic field is perpendicular to the particle's velocity." "If the magnetic force is always perpendicular to the velocity, the path of the particle is a straight line." "The work done by the magnetic force on the particle is zero."
Physics
1 answer:
Marizza181 [45]2 years ago
7 0

Answer:

The statement "if the magnetic force is always perpendicular to the velocity, the path of the particle is a straight line" is false.

Explanation:

The equation for the magnetic force on a charge q moving at velocity v on a magnetic field B is given by the (vectorial) Lorentz Force Law F=qv\times B

From it we can clearly see that the <em>magnitude of the magnetic force </em>exerted on the particle is <em>proportional to the magnitude of the charge q and to the speed v of the particle</em>, and that it is also <em>perpendicular to the particle's velocity</em>. This means that at each instant it moves perpendicularly to the force, so <em>the work done by the magnetic force on the particle is zero</em>.

The statement "if the magnetic force is always perpendicular to the velocity, the path of the particle is a straight line" is false not only for this but for any force, a force always perpendicular to a velocity will curve the trajectory.

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