### Electromagnetic Induction

goals
An inductance coil have the time constant $4\sec$ if it is cut into two equal parts and connected parallel then new time constant of the circuit:
What is a generator state the principle on which generators work
A resistor R, an inductor L and a capacitor C are connected in series to an oscillator of frequency n. If the resonant frequency is ${n}_{r}$,then the current lags behind voltage, when :
The magnetic induction in vacuum at a plane surface of a magnetic is equal to $B$ and the vector $\vec{B}$ forms an angle $\theta$ with the normal $\vec{n}$ of the surface (figure shown above). The permeability of the magnetic is equal to $\mu$.
A pair of parallel horizontal conducting rails of negligible resistance shorted at one end is fixed on a table. The distance between the rails is $L$. A conducting massless rod of resistance $R$ can slide on teh rails frictionlessly. The rod is tied to a massless string which passes over a pulley fixed to the edge of the table. A ass $m$ tied to the other end of the string hangs vertically. A constant magnetic field $B$ exists perpendicular to the table. If the system is released from rest. Calculate