A jet plane is travelling towards west at a speed of 500 m s⁻¹. What is the voltage difference developed between the ends of the wing, having a span of 25 m, if the vertical component of the Earth's magnetic field at that location has a magnitude of 2.5×10⁻⁴ T and the dip angle is 30°?

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(4) 3.125 V. Given: v=500 m s⁻¹ westward, wing span ℓ=25 m, vertical component B_V=2.5×10⁻⁴ T, dip 30°. Idea: the wing is a conductor sweeping across the Earth's field. For level flight only the vertical component drives charge along the wing, and the motional emf is ε=B_Vℓ v. The dip angle is quoted only to say where the vertical component comes from, B_V=B sin δ; here B_V itself is given, so it is used as it stands. ε=2.5×10⁻⁴×25×500. ε=3.125 V across the wing tips - measurable, but it drives no current, since there is no circuit.

A jet plane is travelling towards west at a speed of 500 m s⁻¹. What is the voltage difference developed between the ends of the wing, having a span of 25 m, if the vertical component of the Earth's magnetic field at that location has a magnitude of 2.5×10⁻⁴ T and the dip angle is 30°?

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