AC Voltage and Current — Prelims Questions

An AC voltage is given by $V = 200 sin(100pi t)$, where $V$ is in volts and $t$ is in seconds. What is the RMS value of the voltage and its frequency?

If the RMS current in an AC circuit is $5,\text{A}$, what is the peak current ($I_0$)?

An AC current is given by $I = 10 sin(314t + pi/6),\text{A}$. What is the instantaneous current at $t = 0.01,\text{s}$?

Which of the following statements about the average value of AC voltage is correct?

A household AC supply is rated $220,\text{V}, 50,\text{Hz}$. What is the peak voltage of this supply?

Two AC voltages are given by $V_1 = 100 sin(omega t)$ and $V_2 = 100 cos(omega t)$. What is the phase difference between $V_1$ and $V_2$?