Straight lines and a conductor 12cm long is in a uniform magnetic field.

Straight lines and a conductor 12cm long is in a uniform magnetic field. The current in the conductor is 4A and the maximum force with which the magnetic field acts on the conductor is 0.24N. Find the modulus of the magnetic induction of the field

L = 12 cm = 0.12 m.

I = 4 A.

Famp = 0.24 N.

B -?

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 maximum value of the Ampere force Famp will be when the current carrying conductor is perpendicular to the magnetic induction vector.

∠α = 90 °, sin90 ° = 1.

Fump = I * B * L.

B = Famp / I * L.

B = 0.24 N / 4 A * 0.12 m = 0.5 T.

Answer: the magnetic induction of the field is B = 0.5 T.