Assertion: Magnetic flux can be produced induced e.m.f.
Reason: Faraday established induced e.m.f experimentally.

To understand the relationship between magnetic flux and induced electromotive force (e.m.f), we need to look into Faraday's experiments and the concept of electromagnetic induction.

Faraday's experiment:
- In the 19th century, Michael Faraday conducted a series of experiments to investigate the relationship between electricity and magnetism.
- He discovered that when a magnet was moved relative to a coil of wire, an electric current was induced in the wire.
- Faraday also observed that the amount of induced current was dependent on the rate of change of magnetic flux through the coil.

Electromagnetic induction:
- Faraday's experiments led to the development of the concept of electromagnetic induction, which states that a changing magnetic field induces an electric current in a conductor.
- Magnetic flux is a measure of the total magnetic field passing through a given area. It is represented by the symbol Φ.
- The magnitude of the induced e.m.f can be determined by the rate of change of magnetic flux, given by Faraday's law of electromagnetic induction.

Faraday's law of electromagnetic induction:
- Faraday's law states that the magnitude of the induced e.m.f in a circuit is directly proportional to the rate of change of magnetic flux through the circuit.
- Mathematically, it can be expressed as: e = -dΦ/dt, where e is the induced e.m.f, dΦ is the change in magnetic flux, and dt is the change in time.

Explanation:
- Based on Faraday's experiments and his law of electromagnetic induction, we can conclude that magnetic flux can indeed produce induced e.m.f.
- When there is a change in the magnetic field or the area through which the magnetic field passes, the magnetic flux changes.
- This change in magnetic flux induces an e.m.f in a nearby conductor, according to Faraday's law.
- The induced e.m.f can then drive an electric current through the conductor, enabling the conversion of magnetic energy into electrical energy.

Conclusion:
Faraday's experimental results and his law of electromagnetic induction provide evidence that magnetic flux can produce induced e.m.f. This discovery has paved the way for various applications, including generators, transformers, and other electromagnetic devices.