What is the length of the conductor, if in a magnetic field with an induction of 0.25 T

What is the length of the conductor, if in a magnetic field with an induction of 0.25 T, a magnetic force of 2H acts on it and the current in the conductor is 5A.

B = 0.25 T.

Fa = 2 N.

I = 5 A.

∠α = 90 °.

L -?

A conductor with a current in a magnetic field is acted upon by the Ampere force Fа, the value of which is determined by the formula: Fа = I * B * L * sinα, where I is the current in the conductor, B is the magnetic induction of the magnetic field, L is the length of the conductor, ∠α – the angle between the direction of the current and the magnetic induction B.

L = Fa / I * B * sinα.

L = 2 N / 5 A * 0.25 A * sin90 ° = 1.6 m.

Answer: the length of the conductor is L = 1.6 m.



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