Question

A jet plane is travelling towards west at a speed of 1800 km/h. What is the voltage difference developed between the ends of the wing having a span of 25 m, if the Earth’s magnetic field at the location has a magnitude of 5 × 10⁻⁴ T and the dip angle is 30°.

Answer 1

Speed of the jet plane, v = 1800 km/h = 500 m/s

Wing spanof jet plane, l = 25 m

Earth’s magnetic field strength, B = 5.0 × 10⁻⁴ T

Angle of dip, δ = 30°

Vertical component of Earth’s magnetic field,

B_V = B sin δ

= 5 × 10⁻⁴ sin 30°

= 2.5 × 10⁻⁴ T

Voltage difference between the ends of the wing can be calculated as:

e = (B_V) × l × v

= 2.5 × 10⁻⁴ × 25 × 500

= 3.125 V

Hence, the voltage difference developed between the ends of the wings is 3.125 V.