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 Earths magnetic field at the location has a magnitude of 5 x 10-4 T and the dip angle is 30 degree .
Answer:
When the jet plane is in flight, the wings which are metallic, moves perpendicular to the vertical component of earths magnetic field. Due the Lorentz force on electrons an electric field is produced in the metallic wing which creates a voltage difference. This can be calculated using the equation for induced emf in a conductor moving with a uniform velocity in a magnetic field, e = Blvsinθ.
Velocity, v = 1800 km h-1 = 500 m s-1,
Current, I = 25m, Magnetic filedB = 5.0 x 10-4 T,
δ = 30o, sin δ = 0.5.
Vertical component of earths field,
Bv = B sin δ = 5.0 x 10-4 x 0.5 = 2.5 x 10-4 T
The flying jet plane is cutting these Bv lines.
Hence induced e.m.f.
e = Blvsinθ.
= 500 x 25 x 2.5 x 10-4 = 3.125 V.
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