Rms Average Values

In an AC circuit, the emf (e) and the current (I) at any instant are given respectively by
e = E₀sin$\mathrm{\backslash omega}$t
I = I₀sin$\left(\mathrm{\backslash omega\; t}-\mathrm{\varphi }\right)$
The average power in the circuit over one cycle of AC is:

1. $\frac{{\mathrm{E}}_{\mathrm{o}}{\mathrm{I}}_{\mathrm{o}}}{2}$

2. $\frac{{\mathrm{E}}_{\mathrm{o}}{\mathrm{I}}_{\mathrm{o}}}{2}$ $\sin$ $\mathrm{\varphi }$

3. $\frac{{\mathrm{E}}_{\mathrm{o}}{\mathrm{I}}_{\mathrm{o}}}{2}$ $\cos$ $\mathrm{\varphi }$

4. ${\mathrm{E}}_{\mathrm{o}}{\mathrm{I}}_{\mathrm{o}}$

In an AC circuit, an alternating voltage is connected to a capacitor of capacity The RMS value of the current in the circuit is:

1.		2.
3.		4.

The peak voltage of the AC source is equal to:

1.	times the rms value of the AC source.
2.	the value of voltage supplied to the circuit.
3.	the rms value of the AC source.
4.	times the rms value of the AC source.

A capacitor is connected to a source as shown in the figure. The peak current in the circuit is nearly :

1.		2.
3.		4.