A straight section of a loudspeaker wire of length 0.27 m carries current 1.55 A in a magnetic field of flux density 0.2 T. The wire makes an angle 38° with the field. Calculate the magnetic force.

Question

Accepted Answer

0.0515 N Only the conductor length perpendicular to the magnetic field contributes to the force, so its magnitude is F = BIL sin θ. Substitute the field, current, length and stated angle: F = 0.2 T × 1.55 A × 0.27 m × sin 38°. Evaluate the angular factor: sin 38° = 0.6157. Therefore F = 0.0515 N. Since the wire is neither parallel nor perpendicular to the field, the result lies between zero and BIL, as expected.

Force on a loudspeaker wire

A straight section of a loudspeaker wire of length 0.27 m carries current 1.55 A in a magnetic field of flux density 0.2 T. The wire makes an angle 38° with the field. Calculate the magnetic force.

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