Question

An aeroplane is flying horizontally from west to east with a velocity of 900 km/hour. Calculate the potential difference developed between the ends of its wings having a span of 20 m. The horizontal component of the Earth's magnetic field is 5 × 10^–4 T and the angle of dip is 30°.

Answer 1

Potential difference developed between the ends of the wings e = Bl𝜈

Given Velocity v = 900km/hour = 250m/s

The horizontal component of the Earth’s magnetic field = 5× 10^-4T

Wing span (l) = 20 m

The vertical component of Earth’s magnetic field

B_V = B_H tan δ

= 5×10⁻⁴ (tan 30° ) T

∴ The potential difference, e

= 5×10⁻⁴ ( tan 30° ) × 20 × 250

e = `(5 xx 10^-4 xx 20 xx 250)/sqrt3 = 1.44 "V"`