Moderate

In the formula F=q(v×B):

Correct answer: D. F must be perpendicular to both v and B

  • A. F must be perpendicular to v but not necessarily to B
  • B. F must be perpendicular to B but not necessarily to v
  • C. v must be perpendicular to B but not necessarily to F
  • D. F must be perpendicular to both v and B

Explanation

The formula describes a vector cross product. A fundamental property of the cross product is that the resulting vector (F) is always perpendicular to the plane formed by the two original vectors (v and B). Therefore, the force is perpendicular to both velocity and the magnetic field.

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About Electromagnetism

Magnetic flux density and magnetic flux describe the strength of a magnetic field and the field passing through a surface. A charged particle moving through a magnetic field experiences a force perpendicular to its velocity and may follow circular or helical motion, depending on the angle between velocity and field.

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