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Question

A horizontal straight wire 10mlong extending from East to West is falling with a speed of 5.0ms-1 at right angles to the horizontal component of the earth's magnetic field of strength 0.30×10-4Wbm-2. What is the instantaneous value of the emf induced in the wire?


A

+1.5×10-3Vm-1

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B

-1.5×10-3Vm-1

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C

+1.5×10-4Vm-1

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D

-1.5×10-4Vm-1

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Solution

The correct option is A

+1.5×10-3Vm-1


Explanation for the correct option:

Step 1: Given data:

Length of the wire is l=10m

Velocity of the conductor, v=5.0ms-1

Earth's magnetic field of strength B=0.30×10-4Wbm-2

Step 2: Finding the instantaneous value of emf induced:

We know, e=Blv

putting the values of given data,

e=0.30×10-4x10x5.0=1.5×10-3Vm-1

Hence, option A is correct.


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