A straight conductor with current, placed in a uniform magnetic field with an induction of 0.34 T

| August 16, 2021 | education

A straight conductor with current, placed in a uniform magnetic field with an induction of 0.34 T, acts on a force of 1.65 N. Determine the length of the conductor if it is located perpendicular to the lines of induction of the magnetic field. silt current in the conductor 14.5 A.

Data: B (induction of a uniform magnetic field) = 0.34 T; Fa (Ampere force that acts on a straight conductor with current) = 1.65 N; the conductor is located perpendicular to the magnetic induction lines (α = 90º); I (current in the conductor) = 14.5 A.

The length of a straight conductor is determined using Ampere’s law: Fa = B * I * l * sinα, whence l = Fa / (B * I * sinα).

Let’s calculate: l = 1.65 / (0.34 * 14.5 * sin 90º) = 0.335 m (33.5 cm).

Answer: The length of the conductor is 33.5 cm.



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