Electromagnetic induction last-minute sum-up

• Magnetic Flux (Φ) = BAcosθ = ∫B.dA
• Induced emf = -(dΦ/dt) = ∫E.dl = L(dI/dt)
• Motional emf = ∫(BxV)l
• Φ = LI
•  L = μ(n^2)AI
•  Φ = MI
• emf = -M(dI/dt)
• emf induced in dynamo = B.A.ω.Sin(ωt) 
• Mutual Inductance M =  μNnAI

Quick Grasp:

1. Electricity and Magnetism are inter-related ans at times behave as mutual cause and effects.
2. Scientists Oersted and Ampere demonstrated that charges in motion give rise to magnetic fields.
3. Faraday's Law: Change of flux produces emf which is directly proportional to rate of change of flux.
4. Lenz's Law: emf produced in a closed circuit due to induction always tends to flow in such a way, so as to resist the change of flux, that is causing it.
5. Motional emf can be discussed independently from Faraday's law using Lorentz force.
6. Relative motion between charge ad magnetic fields, however may it be, are same for Faraday's Law.
7. Eddy currents develop in conductors in strong magnetic fields which can be used well in heating and braking systems.
8. Eddy currents can be minimised by having slits in the conductor loop, thereby cutting the whirlpools of electrons.
9. The magnetic potential Energy of the conductor  at any instant depends upon the the strength of current flowing in the conductor at that instant. It does not depend upon the manner in which current is changing.

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