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 ______.

Options

• 0.75 mV

• 0.50 mV

• 0.15 mV

• 1 mV

Answer 1

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.

Explanation:

e = BlV

= 5 × 10^-5 × 2 × 1.5

= 15 × 10^-5 V 

= 0.15 mV