Determine the induction of a uniform magnetic field. In which on a straight wire 50 cm long

Determine the induction of a uniform magnetic field. In which on a straight wire 50 cm long, located at an angle of 30 ° to the induction lines, a force of 9n acts when a current 3a passes through the current conductor.

Data: l (straight wire length) = 50 cm (0.5 m); α (angle at which the wire is located to the induction lines) = 30º; Fa (Ampere force acting on the wire) = 9 N; I (the current that flows through the direct wire) = 3 A.

We calculate the induction of a uniform magnetic field using Ampere: Fa = I * B * l * sinα and B = Fa / (I * l * sinα).

Let’s make the calculation: B = 9 / (3 * 0.5 * sin 30º) = 12 T.

Answer: The induction of a uniform magnetic field is 12 T.