# A conductor with a length of t = 4 cm, placed in a magnetic field with intuition B = 0.5 T at an angle of alpha = 60

March 26, 2021 | education

| **A conductor with a length of t = 4 cm, placed in a magnetic field with intuition B = 0.5 T at an angle of alpha = 60 degrees to the lines of induction, is acted upon by a force F = 0.2H. Determine the current I in the conductor.**

Data: l (length of a conductor placed in a magnetic field) = 4 cm (0.04 m); B (magnetic field induction) = 0.5 T; α (angle between the conductor and the direction of the magnetic induction lines) = 60º; Fa (Ampere force value) = 0.2 N.

The current strength in the conductor under consideration is determined from the formula (Ampere’s law): Fa = I * B * l * sinα, whence I = Fa / (B * l * sinα).

Calculation: I = 0.2 / (0.5 * 0.04 * sin 60º) ≈ 11.5 A.

Answer: The current in the conductor under consideration is 11.5 A.

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