A conducting wire is bent into an L-shape consisting of two mutually perpendicular arms

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

A conducting wire is bent into an L-shape consisting of two mutually perpendicular arms, each 0.15 m0.15\,\text{m} long. A current of 10 A10\,\text{A} flows from the corner towards the free ends of both arms. The assembly is placed in a uniform magnetic field of 0.40 T0.40\,\text{T} directed vertically upward, while both arms lie in the horizontal plane. What is the magnitude of the net force on the entire L-shaped wire? (a) 1.20 N1.20\,\text{N} (b) 0.60 N0.60\,\text{N} (c) 0.85 N0.85\,\text{N} (d) 0.42 N0.42\,\text{N}

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