A force of 2.1 N acts on a conductor 140 cm long from the side of a magnetic field with an induction of 250 mLT.

| March 10, 2021 | education

A force of 2.1 N acts on a conductor 140 cm long from the side of a magnetic field with an induction of 250 mLT. Determine the angle between the direction of the current and the direction of the magnetic induction line if the current is 12 A.

Data: l (conductor length) = 140 cm (1.4 m); V (magnetic field induction) = 250 mT (0.25 T); Fa (Ampere force that acts on the conductor) = 2.1 N; I (current in the taken conductor) = 12 A.

The angle between the directions of the current and the lines of magnetic induction is determined from the Ampere’s law: Fa = I * B * l * sinα, whence sinα = Fa / (I * B * l).

Calculation: sinα = 2.1 / (12 * 0.25 * 1.4) = 0.5 (α = 30º).

Answer: The angle between the direction of the current and the direction of the magnetic induction lines is 30º.



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