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Motional EMF

Two rails of ...

Question

Two rails of a railway track insulated from each other and the ground are connected to a milli voltmeter. What is the reading of voltmeter, when a train travels with a speed of 180 km/hr along the track. Given that the vertical component of earth's magnetic field is $0.2 \times 10^{- 4}$ T and the rails are separated by 1 metre

A

10^-2 Volt

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B

10^-4 Volt

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C

10^-3 Volt

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D

1 Volt

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Solution

The correct option is C 10^-3 Volt
$e = B_{v} . v l = 0.2 \times 10^{- 4} \times (\frac{180 \times 1000}{3600}) \times 1 = 10^{- 3} V$

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