Magnetic Force Physics Example 1

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Example 1

easy
A proton (q=1.6×1019 Cq = 1.6 \times 10^{-19} \text{ C}) moves at 5×106 m/s5 \times 10^6 \text{ m/s} perpendicular to a 0.3 T0.3 \text{ T} magnetic field. What is the magnetic force on the proton?

Solution

  1. 1
    Use F=qvBsinθF = qvB\sin\theta with θ=90°\theta = 90°.
  2. 2
    F=1.6×1019×5×106×0.3×1F = 1.6 \times 10^{-19} \times 5 \times 10^6 \times 0.3 \times 1
  3. 3
    F=2.4×1013 NF = 2.4 \times 10^{-13} \text{ N}

Answer

F=2.4×1013 NF = 2.4 \times 10^{-13} \text{ N}
The magnetic force on a moving charged particle is perpendicular to both the velocity and the magnetic field. It causes the particle to move in a circular path rather than speeding it up or slowing it down.

About Magnetic Force

The force exerted on a moving charge or current-carrying conductor by a magnetic field.

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