Formula for Induced e.m.f.
- The induced electromotive force (e.m.f.) in a conductor moving through a magnetic field is given by the formula:
\[ E = B \cdot I \cdot v \]

Explanation
- B: Flux density represents the strength of the magnetic field in Tesla (T).
- I: Length of the conductor moving through the magnetic field in meters (m).
- v: Velocity of the conductor perpendicular to the magnetic field in meters per second (m/s).
- The induced e.m.f. is a result of Faraday's law of electromagnetic induction, which states that a change in magnetic field induces an electromotive force in a conductor.
- When a conductor moves through a magnetic field, the magnetic flux linking the conductor changes, inducing an e.m.f. according to the formula provided.
- This induced e.m.f. can lead to the generation of electric current in a closed circuit, as seen in generators and other electrical devices.

Conclusion
- Understanding the relationship between flux density, length of conductor, velocity, and induced e.m.f. is crucial in the field of electrical engineering. This formula helps in designing and analyzing electromagnetic systems, such as generators, motors, and transformers.

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