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What is the force that a charged particle, Q, experiences as it moves at a speed of v through a magnetic field, B?  2 pointsmaqvBFsinθZero

Question

What is the force that a charged particle, Q, experiences as it moves at a speed of v through a magnetic field, B?

2 points

  • maqvBFsinθ
  • Zero
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Solution

The force that a charged particle experiences as it moves through a magnetic field is given by the equation:

F = QvBsinθ

Where: F is the force, Q is the charge of the particle, v is the speed of the particle, B is the magnetic field strength, and θ is the angle between the velocity of the particle and the direction of the magnetic field.

This equation tells us that the force experienced by the particle is proportional to the charge of the particle, the speed of the particle, the strength of the magnetic field, and the sine of the angle between the velocity of the particle and the direction of the magnetic field.

If the particle is moving parallel to the magnetic field (θ = 0 or 180 degrees), then the force is zero because sin(0) = sin(180) = 0. If the particle is moving perpendicular to the magnetic field (θ = 90 degrees), then the force is at its maximum because sin(90) = 1.

So, the force experienced by the particle depends on its charge, its speed, the strength of the magnetic field, and the angle at which it is moving relative to the magnetic field.

This problem has been solved

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