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 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°.
Given: Speed of the jet plane towards west = 1800 km/h
In m/s, speed of the jet plane towards west = 500 m/s
Length of the span of the jet plane = 25 m
Magnetic field = 5 × 10–4 T
Dip angle =30°
The vertical component of Earth’s magnetic field can be calculated as follows:
Bv= B sinδ
On substituting the values, we get,
Bv= 5 × 10–4 T × sin30°
⇒ Bv= 5 × 10–4 T × 1/2
∴ Bv = 2.5 × 10–4 Tesla
The voltage difference developed between the ends of the jet can be calculated using the formula:
e = Bv × l × v
On substituting the values, we get
e =2.5×10–4 T× 25m × 500m/sec
on calculating, we get
e = 3.125 V
∴ the voltage difference developed between the ends of the wings is approximately 3V.