What is the induction of a magnetic field in which a force of 0.05 N acts on a conductor with a current of 25 A?
What is the induction of a magnetic field in which a force of 0.05 N acts on a conductor with a current of 25 A? The length of the active part of the conductor is 5 cm. The directions of the induction and current lines are mutually perpendicular.
I = 25 A.
Famp = 0.05 N.
L = 5 cm = 0.05 m.
∠α = 90 °.
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 active part of the conductor, ∠α is the angle between the direction of the current and the vector of magnetic induction B.
B = Famp / I * L * sinα.
B = 0.05 N / 25 A * 0.05 m * sin90 ° = 0.04 T.
Answer: the conductor is in a magnetic field with induction B = 0.04 T.