A wire carrying a current I along the positive x-axis has length L. It is kept in a magnetic field B⃗ = (2î + 3ĵ - 4k̂) T. The magnitude of magnetic force acting on the wire is:
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Question

A wire carrying a current I along the positive x-axis has length L. It is kept in a magnetic field B⃗ = (2î + 3ĵ − 4k̂) T. The magnitude of magnetic force acting on the wire is:

G1 Physics · Accepted Answer

Step 1: A straight wire experiences F⃗ = I(L⃗ × B⃗). Step 2: L⃗ = Lî and B⃗ = 2î + 3ĵ − 4k̂. Therefore L⃗ × B⃗ = L(3k̂ + 4ĵ). Step 3: |F⃗| = IL√(3² + 4²) = 5IL. Correct option A. Final answer: (A) 5IL.