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PhysicsHardMCQ2014 · 06 Apr

Q20.A conductor lies along the z-axis at −1.5 ≤z < 1.5 m and carries a fixed current of 10.0 A in −ˆaz direction → (see figure). For a field B = 3.0 × 10−4 e−0.2x ˆay T, find the power required to move the conductor at constant speed to x = 2.0 m, y = 0 m in 5 × 10−3 s. Assume parallel motion along the x-axis. (1) 1.57 W (2) 2.97 W (3) 14.85 W (4) 29.7 W

What This Question Tests

This multi-concept problem requires calculating the magnetic force on a current-carrying wire, integrating to find the work done by this force, and then determining the average power.

Concepts Tested

Lorentz force on current-carrying wireWork done by a forcePower calculation

Formulas Used

F = I(L × B)

P = W/t

W = ∫ F ⋅ dx

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