Q. 104.1( 24 Votes )

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.

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