Magnetic Field Physics Example 2

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Example 2

hard
A wire carrying 5 A5 \text{ A} of current is 0.3 m0.3 \text{ m} long and placed perpendicular to a 0.2 T0.2 \text{ T} magnetic field. What force acts on the wire?

Solution

  1. 1
    Use the force formula for a current-carrying wire in a magnetic field: F=BILsinθF = BIL\sin\theta, where BB is field strength, II is current, LL is wire length, and θ\theta is the angle between wire and field.
  2. 2
    Identify given values: B=0.2TB = 0.2\,\text{T}, I=5AI = 5\,\text{A}, L=0.3mL = 0.3\,\text{m}. Since the wire is perpendicular to the field, θ=90°\theta = 90° and sin90°=1\sin 90° = 1.
  3. 3
    Substitute and calculate: F=0.2×5×0.3×1=0.3NF = 0.2 \times 5 \times 0.3 \times 1 = 0.3\,\text{N}

Answer

F=0.3 NF = 0.3 \text{ N}
A current-carrying wire in a magnetic field experiences a force because the moving charges (current) interact with the field. This is the principle behind electric motors.

About Magnetic Field

A vector field around magnets and moving charges that exerts force on other moving charges and magnetic materials.

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