A straight conductor of length lies along the north–south line on a laboratory table

MATHEMATICS · Multi-part · A Level · Mathematics · Forces and Newton's laws · Forces and Newton's laws

Problem

A straight conductor of length 0.30 m0.30\,\text{m} lies along the north–south line on a laboratory table. It carries a current of 15 A15\,\text{A} from south to north. The horizontal component of the Earth’s magnetic field at the place is 40 μT40\,\mu\text{T} toward geographic north, and a local company has installed an additional uniform magnetic field of 0.12 T0.12\,\text{T} vertically downward. (a) Calculate the magnitude of the resultant magnetic field acting on the conductor, treating the two fields as perpendicular to each other. (b) Determine the magnitude of the force on the conductor under these conditions. (c) Give the direction of the force on the conductor.

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