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The motor effect

A wire carrying a current creates a . This can interact with another magnetic field, causing a force that pushes the wire at right angles. This is called the .

Wire carries current towards screen. Magnetic field travels north to south across screen, left to right. Resultant force on wire travels down screen, top to bottom.
Figure caption,
There is a force at right angles to the current and the magnetic field

Calculating the motor effect force

To calculate the force on a wire carrying a current at right angles to a magnetic field, use the equation:

force = magnetic flux density × current × length

\(F = B \ I \ l\)

This is when:

  • F is force in newtons (N)
  • B is magnetic flux density (magnetic field strength) in tesla (T)
  • I is current in amperes - also referred to as amps - (A)
  • \(l\) is length in metres (m)

Example

2 A flows through a 50 cm wire. Calculate the force acting on the wire when it is placed at right angles in a 0.4 T magnetic field.

50 cm = 50 ÷ 100 = 0.5 m

\(F = B \ I \ l\)

\(F = 0.4 \times 2 \times 0.5\)

\(Force = 0.4 \ N\)

Question

A 5.0 cm wire carries a current of 0.75 A. Calculate the force acting on the wire when it is placed at right angles in a 0.60 T magnetic field.