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Question:

A boat is moving due east in a region where the earth's magnetic field is 5.0 × 10-5 NA-1 m-1 due north and horizontal. The boat carries a vertical aerial 2 m long. If the speed of the boat is 1.50 ms-1, the magnitude of the induced emf in the wire of aerial is?

0.15 mV

1 mV

0.75 mV

0.50 mV

Solution:

Induced emf is given by:
ε = Bvl
On putting the values we get
= 5 × 10-5 × 1.50 × 2
= 0.15 mV