Write down and explain Faraday's laws and Lenz's law of electromagnetic induction? What do you understand by electromagnetic induction?

A rectangular conductor, L M N O, is placed in a uniform magnetic field $\overrightarrow{\mathrm{B}}$, directed perpendicular to the plane of the conductor, as shown in Fig. $9.58$. Obtain an expression, for the emf induced in the arm M N, when the arm is moved towards the left (parallel to itself) with a speed v. Use the above expression to find the emf induced between the ends of an axle, of length L, of a railway carriage, travelling on level ground, with speed v. Assume the value of earth's magnetic field at the place to be B and the angle of dip to be $\mathrm{\theta }$ 

What is the magnetic energy stored in the solenoid? How does this magnetic energy compare with the electrostatic energy stored in a capacitor?

The magnetic flux through a coil varies according to the relation $\mathrm{\Phi }=\left({\mathrm{t}}^3-2\mathrm{t}+5\right)\mathrm{Wb}$, where t is time measured in seconds. If the resistance of the coil be $10\Omega$, what is the current in the coil at $\mathrm{t}=15$ ? At what time the current is maximum and what is its value?