Asked in MDCAT Test Series 26 — Electromagnetic InductionModerate

An electron moves at 2 x 10^2 m/s perpendicular to a magnetic field of 2T. What is the magnitude of magnetic force?

Correct answer: B. 6.4 x 10^-17N

  • A. 1 x 10^-6N
  • B. 6.4 x 10^-17N
  • C. 6.4 x 10^17N
  • D. 4 x 10^6N

Explanation

To calculate the magnitude of the magnetic force experienced by an electron moving perpendicular to a magnetic field, you can use the formula for the magnetic force on a charged particle: F = |q| * v * B Where: F is the magnitude of the magnetic force (in Newtons, N). |q| is the absolute value of the charge of the electron (which is approximately 1.602 x 10^-19 C, the elementary charge of an electron). v is the magnitude of the velocity of the electron (in meters per second, m/s). B is the magnitude of the magnetic field (in Tesla, T). Given: v = 2 x 10^2 m/s B = 2 T |q| ≈ 1.602 x 10^-19 C Now, plug in the values: F = |q| * v * B F = (1.602 x 10^-19 C) * (2 x 10^2 m/s) * (2 T) F ≈ 6.408 x 10^-17 N After calculating the expression, the magnitude of the magnetic force on the electron is approximately 6.408 x 10^-17 N.

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About Electromagnetic Induction

Changing magnetic flux induces an emf according to Faraday's law, while Lenz's law gives the direction that opposes the change producing it. Transformers apply induction between coils to step alternating voltage up or down, with turns ratio, current transformation and energy losses determining practical operation.

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