On a conductor 20 cm long, located at an angle of 30 degrees to the lines of magnetic induction

On a conductor 20 cm long, located at an angle of 30 degrees to the lines of magnetic induction, a force equal to 25 mN acts. Find the magnetic induction if the current in the conductor is 5 A

Data: l (conductor length) = 20 cm (0.2 m); α (angle between the location of the conductor and the direction of the lines of magnetic induction) = 30º; Fа (value of the Ampere force acting on the conductor) = 25 mN (25 * 10-3 N); I (current in the conductor) = 5 A.

We calculate the magnitude of the magnetic field induction using Ampere’s law: Fa = I * B * l * sinα, whence B = Fa / (I * l * sinα).

Let’s make the calculation: B = 25 * 10-3 / (5 * 0.2 * sin 30º) = 0.05 T.

Answer: The induction of the magnetic field is 0.05 T.