For very high frequencies, the effective impedance of the circuit (shown in the figure) will be:-

In a series LCR circuit, the inductance $$L$$ is $$10 ~\mathrm{mH}$$, capacitance $$C$$ is $$1 ~\mu \mathrm{F}$$ and resistance $$R$$ is $$100 ~\Omega$$. The frequency at which resonance occurs is :-

The net magnetic flux through any closed surface is :

A $$12 \mathrm{~V}, 60 \mathrm{~W}$$ lamp is connected to the secondary of a step down transformer, whose primary is connected to ac mains of $$220 \mathrm{~V}$$. Assuming the transformer to be ideal, what is the current in the primary winding ?