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 A 10 m long horizontal wire extends from North East to South West . It is falling with a speed of 5.0 ms-1, at right angles to the horizontal component of the Easth's magnetic field , of 0.3 X 10-4 Wb/m2 . The value of the induced emf in wire is : 

  • Option 1)

    1.1 X 10-3 V

  • Option 2)

    0.3 X 10-3 V

  • Option 3)

    2.5 X 10-3 V

  • Option 4)

    1.5 X 10-3 V

Answers (1)

best_answer

 

Motional EMF -

\varepsilon = Blv
 

- wherein

B\rightarrow magnetic field

l\rightarrow length

u\rightarrow velocity of u perpendicular to uniform magnetic field.

E_{induced} = BVl\sin \theta =0.3\times 10^{-4}\times 5\times 10\times \frac{1}{\sqrt{2}}

E_{induced} \approx 1.1\times 10^{-3}V

 


Option 1)

1.1 X 10-3 V

Option 2)

0.3 X 10-3 V

Option 3)

2.5 X 10-3 V

Option 4)

1.5 X 10-3 V

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