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The distance between the two extreme points of the wings of an aeroplane is 50 m. It is flying horizontally at a speed of 360 km h⁻¹. If the vertical component of Earth's magnetic field at that place is 2×10⁻⁴ Wb m⁻², the induced emf between these two end points is ______ V.

Asked in GSEB Board July 2016 · Free conductor moving in a field

Answer: (1) 1.0

Step-by-step solution

Given: wing span ℓ = 50 m; speed v = 360 km h⁻¹; vertical field B_V = 2×10⁻⁴ Wb m⁻².

Idea: the wings act as a rod moving horizontally, so only the vertical component of Earth's field is cut: ε = B_V ℓ v.

Convert the speed: v = (360 × 1000)/(3600) = 100 m s⁻¹.

ε = 2×10⁻⁴ × 50 × 100 = 1.0 V.

So the emf between the wing tips is 1.0 V.

Why the other options are wrong

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