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A jet plane is travelling west at the sp...

A jet plane is travelling west at the speed of 1800 `km..h`. What is the voltage difference developed between the ends of the wing 25 m long, if the earth's magnetic field at the location has a magnitude of `5.0 xx 10^(-4)` T and the dip angle is `30^(@)`

Text Solution

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The correct Answer is:
`3.12`
We are given that,
Velocity of the wing, v=1800km/h=500m/s
Length of the wing, l = 25m
Earth.s magnetic field, `B = 5.0 xx 10^(-4)T`
Dip angle, `delta = 30^@`
The vertical component `(B_v)` of the Earth.s magnetic field acts perpendicular to the plane of the wings, where `B_v = B sin delta = (5.0 xx 10^(-4)T)sin 30^@ = 2.5 xx 10^(-4)T`
If E is the voltage developed between the ends of the wings,
`E = B_vl_v = [(2.5xx10^(-4))(25)(500)] = 3.125 ~~ 3.12V.`
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