What will be the peak value of a sinusoidal voltage whose RMS value is 115√2 volts?

Concept

The RMS value of an alternating current is the steady (D.C) current that produces the same amount of heat as the A.C. 

The RMS value of any signal is given by:

\(RMS=\sqrt{{1\over T}\int_{-\infty}^{\infty}x^2(t)\space dt}\)

where, T = Time period of the signal

The relationship between RMS and peak value for an AC supply is given by:

\(V_{RMS}={V_m\over \sqrt{2}}\)

where, Vm = Peak value (maximum value)

Calculation

Given, VRMS = 115√2 V

\(115\sqrt{2}={V_m\over \sqrt{2}} \space \)

V_m = 230 V