Determine the current in a conductor with a length of L = 0.5, if the force F = 0.25H acts on the conductor.

Determine the current in a conductor with a length of L = 0.5, if the force F = 0.25H acts on the conductor. the value of the magnetic induction of the field of a permanent magnet B = 0.1 T

L = 0.5 m.

Fump = 0.25 H.

B = 0.1 T.

I -?

On a conductor of length L, through which a current flows with a current strength I, in a magnetic field with induction B, the Ampere force Famp acts, the value of which is determined by the formula: Famp = I * B * L * sinα, where ∠α is the angle between the direction of the current in the conductor and vector of magnetic induction B.

I = Famp / B * L * sinα.

We will assume that the conductor is located perpendicular to the magnetic field lines, ∠α = 90 °, sin90 ° = 1.

I = Famp / B * L.

I = 0.25 N / 0.1 T * 0.5 m = 5 A.

Answer: the current in the conductor is I = 5 A.