Prove that an ideal capacitor in an AC circuit does not dissipate power.

Write down the equation that represents a sinusoidal a.c. Obtained expression for its mean value and rms value over one cycle in terms of the peak current. Why is a.c considered to be more dangerous than d.c?

What is alternating current? Prove the following for a.c

(i) ${\mathrm{I}}_{\mathrm{eff}}=\raisebox{1ex}{${\mathrm{I}}_0$}\!\left/ \!\raisebox{-1ex}{$\sqrt{2}$}\right.$

What is an alternating current? Prove the following for a.c

(ii) $I_{avg}=\frac{2I_0}{\mathrm{\pi }}$ for the positive half cycle.