How to Calculate Magnetic Force on a Current-Carrying Wire?

What is the formula to calculate the magnetic force on a current-carrying wire?

The formula to calculate the magnetic force on a current-carrying wire is: F = I * L * B * sin(theta), where

  • F is the magnetic force
  • I is the current in the wire
  • L is the length of the wire
  • B is the magnetic field strength
  • theta is the angle between the wire and the magnetic field

When dealing with a current-carrying wire in a magnetic field, it is important to calculate the magnetic force acting on the wire. This can be done using the formula mentioned earlier: F = I * L * B * sin(theta).

For example, let's say a wire carries a current of 11.1 A in a direction that makes an angle of 26.9 degrees with a magnetic field of 0.326 T. If the length of the wire is 5.37 m, you can calculate the magnetic force as follows:

F = (11.1 A) * (5.37 m) * (0.326 T) * sin(26.9 degrees)

F = 8.761 Unit

So, the magnetic force acting on the current-carrying wire in this scenario is 8.761 Unit.

This formula is essential in understanding the interaction between current-carrying wires and magnetic fields. By knowing the current, length of the wire, magnetic field strength, and angle, you can accurately calculate the magnetic force on the wire.

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