Moderate

Due to the magnetic force, a positively charged particle executes uniform circular motion within a uniform magnetic field 'B'. If the charge is 'q' and the radius of its path is r, which of the expressions gives the magnitude of the particle's linear momentum:

Correct answer: A. qBr

  • A. qBr
  • B. qB/r
  • C. q/(Br)
  • D. B

Explanation

Here the centripetal force will balance the magnetic force. So, mv2/r=qvB or mv=qBr Thus, linear momentum, p=mv=qBr

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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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