There is a particle with a charge of 11μC moving 4.7x107m/s perpendicular through a magnetic field with a strength of 7T. What is the force on the particle?

Respuesta :

The force on the particle is 3619 N.

What is force?

Force can be defined as the product of the mass of a body to its acceleration. The S.I unit of force is Newton (N)

To calculate the force on the particle, we use the formula below.

Formula:

  • F = Bvqsin∅................... Equation 1

Where:

  • Force on the particle
  • B = magnetic field
  • v = velocity of the particle
  • q = charge of the particle
  • ∅ = angle between the speed of the particle and the magnetic field.

From the question,

Given:

  • B = 7T
  • v = 4.7×10⁷ m/s
  • q = 11 μC = 11×10⁻⁶ C
  • ∅ = 90° (perpendicular)

Substitute these values into equation 1

  • F = (7)(4.7×10⁷)(11×10⁻⁶)(sin90°)
  • F = 3619 N.

Hence, The force on the particle is 3619 N.

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