How much is the difference between the largest and the smallest values of the modulus of the force acting

How much is the difference between the largest and the smallest values of the modulus of the force acting on a straight wire 20 cm long with a current of 10 A, at different positions of the wire in a uniform magnetic field, the induction of which is 1 T?

L = 20cm = 0.2m.

I = 10 A.

B = 1 T.

Fmax -?

Fmin -?

A conductor with a current in a magnetic field is acted upon by the Ampere force Famp, the value of which is determined by the formula: Famp = I * B * L * sinα. Where I is the current in the conductor, B is the magnetic induction of the field, L is the length of the conductor, ∠α is the angle between the direction of the current and the vector of magnetic induction B.

The position of the conductor relative to the lines of magnetic induction determines ∠α.

0 ≤ lsinαl ≤ 1.

Ampere force will be maximum Fmax at sinα = 1, ∠α = 90 °, 270 °.

Fmax = 10 A * 1 T * 0.2 m = 2 N.

The Ampere force will be the minimum Fmin at sinα = 0, ∠α = 0 °, 180 °.

Fmin = 0 N.

Answer: Fmax = 2 N, Fmin = 0.