State and explain Faraday’s laws of electromagnetic induction. What is the significance of the negative sign appearing in the first law?

Define coefficient of self-induction, write its $\mathrm{SI}$ unit and obtain the relation,

$L=\frac{{\mu }_0{N}^{2}A}{\iota }$

where symbols have their usual meanings.

Using an appropriate diagrams, derive the relation for motional emf developed in a conductor of length $l$ moving with velocity $\overrightarrow{\mathrm{v}}$ perpendicular to uniform magnetic field $\mathrm{B}$. Obtain the relation for mechanical power consumed to pull conductor in previous part of question, i.e.,

$\mathrm{P}=\frac{{\mathrm{B}}^2{\mathrm{l}}^2{\mathrm{v}}^2}{\mathrm{R}}$

where $R$ is the the total resistance of the circuit.