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A railway track running north south has ...

A railway track running north south has two parrallel rails 1.0 m apart. Calculate the e.m.f. induced between the rails when a train passes at a speed of 90 km `h^(-1)`. Horizontal component of earth's magnetic field at that plane is `0.3 xx 10^(-4) T` and angle of dip is `60^(@)`.

Text Solution

Verified by Experts

Here, `l = 1.0 m, e = ?`
`upsilon = 90 km h^(-1) = (90 xx 1000)/(60 xx 60) = 25 ms^(-1)`
`H = 0.3 xx 10^(-4) T, delta = 60^(@)`
Magnetic field intercepted is
`V = H tan delta = 0.3 xx 10^(-4) sqrt 3 T`.
`e = V l upsilon = 0.3 xx 10^(-4) sqrt 3 xx 1.0 xx 25`
`= 1.3 xx 10^(-3) V`
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