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Find the length of a conductor which is moving with a velocity 0.4m/s in a magnetic field of 8T, inducing an emf of 20V.
  • a)
    50m
  • b)
    5m
  • c)
    6.25m
  • d)
    0.5m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Find the length of a conductor which is moving with a velocity 0.4m/s ...
The formula for induced emf is: emf=Blv. Substituting the values of B, emf and v from the question, we get l=6.25m.
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Most Upvoted Answer
Find the length of a conductor which is moving with a velocity 0.4m/s ...
Given:
Velocity of the conductor, v = 0.4 m/s
Magnetic field, B = 8 T
Induced emf, E = 20 V

To find:
Length of the conductor

We can use the formula for the induced emf in a moving conductor:
E = Bvl

where E is the induced emf, B is the magnetic field, v is the velocity of the conductor, and l is the length of the conductor.

Re-arranging the formula, we have:
l = E / (Bv)

Substituting the given values, we get:
l = 20 V / (8 T * 0.4 m/s)

Calculating the value, we find:
l = 6.25 m

Therefore, the length of the conductor is 6.25 meters.

Therefore, the correct answer is option C) 6.25m.

Summary:
The length of a conductor can be calculated using the formula l = E / (Bv), where E is the induced emf, B is the magnetic field, v is the velocity of the conductor, and l is the length of the conductor. Substituting the given values, we find that the length of the conductor is 6.25 meters.
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