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The two rails of a railway track, insula...

The two rails of a railway track, insulated from each other and the ground are connected to a voltmeter. What is the reading of the voltmeter when a train travels at a speed of 180 km/h along the track. Given that the vertical component of earth's magnetic field is `2 xx 10^(-5) T` and the rails are separated by 1 m?

Text Solution

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Given , ` v= 180 km//h = 180 xx5/18 = 50m//s`
`B = 2 xx10^(-5) T, L = 1m`
The motional emf induced is given by
`epsilon = Blv = 2xx10^(-5) xx1xx50`
` = 100 xx10^(-5) = 10^(-3)`
or `epsilon = 1mV`
Thus, reading of voltmeter is 1 mV
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