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What is the force experienced by a charge q moving with velocity v in a magnetic

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Question: What is the force experienced by a charge q moving with velocity v in a magnetic field B?

Options:

  1. qvB
  2. qvB sin(θ)
  3. qvB cos(θ)
  4. qvB tan(θ)

Correct Answer: qvB sin(θ)

Solution: 

The force experienced by a charge q moving with velocity v in a magnetic field B is given by the Lorentz force law: F = q(v × B), which can be expressed as F = qvB sin(θ), where θ is the angle between the velocity and the magnetic field.

What is the force experienced by a charge q moving with velocity v in a magnetic

Practice Questions

Q1
What is the force experienced by a charge q moving with velocity v in a magnetic field B?
  1. qvB
  2. qvB sin(θ)
  3. qvB cos(θ)
  4. qvB tan(θ)

Questions & Step-by-Step Solutions

What is the force experienced by a charge q moving with velocity v in a magnetic field B?
  • Step 1: Understand that a charge (q) is a property of matter that causes it to experience a force in a magnetic field.
  • Step 2: Recognize that when this charge moves with a certain speed (v), it interacts with the magnetic field (B).
  • Step 3: Learn about the Lorentz force law, which tells us how to calculate the force (F) on the charge.
  • Step 4: The formula for the force is F = q(v × B), where '×' represents the cross product, meaning we need to consider the direction of both velocity and magnetic field.
  • Step 5: Alternatively, we can express this force as F = qvB sin(θ), where θ is the angle between the direction of the velocity and the direction of the magnetic field.
  • Step 6: Remember that the sine function (sin) helps us find the component of the velocity that is perpendicular to the magnetic field, which is what contributes to the force.
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