Determine the induction of the magnetic field if a 10mN force acts on a conductor with a current of 10A and a length of 1m

Task data: I (current strength) = 10 A; l (length of the active part of the conductor) = 1 m; F (Ampere force that acts on the conductor) = 10 mN, for calculations we take α = 90º (the angle between the induction vector and the direction of the current).

SI system: F = 10 mN = 10 * 10-3 N.

We calculate the magnitude of the magnetic field induction from the formula for the Ampere force: F = B * I * l * sinα; B = F / (I * l * sinα).

Let’s carry out calculations: B = 10 * 10-3 / (10 * l * sin 90º) = 0.001 T = 1 mT.

Answer: The induction of the magnetic field is 1 mT.