RMS Values — Prelims Questions

The peak voltage of an AC supply is $311,\text{V}$. What is its RMS voltage?

An AC current is given by $i = 10 sin(100pi t),\text{A}$. What is the RMS value of this current?

A $100,Omega$ resistor is connected to an AC source with an RMS voltage of $200,\text{V}$. What is the average power dissipated in the resistor?

Why is the RMS value considered a more significant measure than the average value for an AC waveform in terms of its practical effects?

If the RMS current in an AC circuit is $2,\text{A}$, what is the peak current?

An AC voltage source has an instantaneous voltage given by $v(t) = 100 sin(314t),\text{V}$. If this voltage is applied across a $50,Omega$ resistor, what is the average power dissipated?