Question

the equation of an alternating voltage is v=100√2 sin 100πt volt the rms value of voltage and frequency will be respectively

Answer 1

The RMS voltage is 100√2 volts. And the frequency is 100π.

For alternating electric current, RMS is equal to the value of the direct current that would produce the same average power dissipation in a resistive load circuit of the system described. The RMS is a continuation of a sinosuidal wave described as the square root of the arithmetic mean of the squares of the values or the square of the function.

Answer 2

"Given Equation:

$v= { V }_{ m }\quad sin(\omega t\quad \pm \quad \phi )$

$v=100\sqrt { 2\quad} sin(100\Pi t)$

To Find:    RMS value and frequency.

Peak voltage from the given equation is$100\sqrt { 2\quad}$

RMS value = $0.707 \times 100\sqrt { 2\quad}$

                 $= 0.707 \times 141.42$

                   =100 V

$\omega =100\pi \quad =>\quad 2\pi f=100\pi$

$f=\frac { 100 }{ 2 } =\quad 50\quad Hz$

Therefore the RMS value is 100 V and frequency is 50 Hz."