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A conductor of length 0.4 m is moving with aspeed of 7 m/s perpendicular to a magnetic fieldof intensity 0.9 Wb/m2. The induced e.m.f.across the conductor is               [1995]
  • a)
    1.26 V
  • b)
    2.52 V
  • c)
    5.04 V
  • d)
    25.2 V
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A conductor of length 0.4 m is moving with aspeed of 7 m/s perpendicul...
Length of conductor (l) = 0.4 m; Speed (v) = 7 m/s and magnetic field (B) = 0.9 Wb/ m2.
Induced e.m.f. (V) = Blv sin θ = 0.9 × 0.4 × 7
× sin 90º = 2.52 V.
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Most Upvoted Answer
A conductor of length 0.4 m is moving with aspeed of 7 m/s perpendicul...
Given:
Length of conductor (l) = 0.4 m
Speed of conductor (v) = 7 m/s
Magnetic field intensity (B) = 0.9 Wb/m²

To find:
Induced e.m.f across the conductor

Formula:
The induced e.m.f (E) can be calculated using the formula:
E = B * l * v

Calculation:
Substituting the given values into the formula, we have:
E = (0.9 Wb/m²) * (0.4 m) * (7 m/s)

Simplifying the above expression, we get:
E = 0.9 * 0.4 * 7 Wb
E = 2.52 V

Therefore, the induced e.m.f across the conductor is 2.52 V.

Explanation:
- The induced e.m.f across a conductor moving perpendicular to a magnetic field can be calculated using the formula E = B * l * v, where E is the induced e.m.f, B is the magnetic field intensity, l is the length of the conductor, and v is the speed of the conductor.
- In this case, the length of the conductor is given as 0.4 m, the speed of the conductor is given as 7 m/s, and the magnetic field intensity is given as 0.9 Wb/m².
- Substituting these values into the formula, we can calculate the induced e.m.f.
- By multiplying the magnetic field intensity, length of the conductor, and speed of the conductor, we find that the induced e.m.f is 2.52 V.
- Therefore, the correct answer is option B, 2.52 V.
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