With what force does the magnetic field act on a conductor 20 cm long? The current in the conductor is 50 A.

With what force does the magnetic field act on a conductor 20 cm long? The current in the conductor is 50 A. The vector of magnetic induction is 0.01 T. The field induction lines and the current are mutually perpendicular.

To determine the Ampere force acting on a given conductor, we will use the formula: Fa = B * I * Δl * sinα.

Values of variables: B – field induction (B = 0.01 T); I – current strength (I = 50 A); Δl is the length of a given conductor (Δl = 20 cm or 0.2 m); α – angle between streamlines and induction lines (α = 90º).

Let’s calculate: Fa = B * I * Δl * sinα = 0.01 * 50 * 0.2 * sin 90º = 0.1 N.

Answer: The magnetic field must act on a given conductor with a force of 0.1 N.