1.

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 Earth's magnetic field at the location has a magnitude of 5 xx 10^(-4) T and the dip angle is 30^@.

Answer»

Solution : Here component of magnetic field of Earth which is PERPENDICULAR to both `vecv` and `VECL`is vertical component `B_V`, given by FORMULA
`B_V=B sin phi` (Where `phi`=dip angle of given place)
`=(5XX10^(-4))sin30^@`
`therefore B_V=2.5xx10^(-4)` T
Induced emf across LENGTH l of the wing of a plane is ,
`epsilon=B_V vl`
`=1800xx10/36=500 m/s`
`=(2.5xx10^(-4))(500)(25)`
`therefore epsilon`=3.125 V (volt)


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