With what maximum force can a uniform magnetic field with an induction

With what maximum force can a uniform magnetic field with an induction of 4 T act on a straight conductor 10 cm long if a current of 10A flows through it?

B = 4 T.

L = 10 cm = 0.1 m.

I = 10 A.

Fmax -?

On a conductor of length L, through which a current flows with a current strength I, in a magnetic field with induction B, the Ampere force Famp acts, the value of which is determined by the formula: Famp = I * B * L * sinα, where ∠α is the angle between the direction of the current in the conductor and vector of magnetic induction B.

Since the magnitude of the magnetic induction B, the current I and the length of the conductor L remain constant, the magnitude of the Ampere force Famp depends on the location of the conductor in the magnetic field.

sinα = 1 at ∠α = 90 °, sinα = – 1 at ∠α = 270 °.

Fmax = 10 A * 4 T * 0.1 m = 4 N.

Answer: the maximum Ampere force will be Fmax = 4 N with a conductor perpendicular to the lines of magnetic induction B.