Question

a. Why does the effective voltage rms (root mean square) used in sine type signals have in the denominator?

b. What would the equation of the effective voltage rms (root mean square) be like for square or triangular type signals, since they do not have in the denominator?

c. applications in life on the subject of oscilloscope and lissajous figure

Answer 1

Answer-

a) In the case of a pure sine wave AC,RMS AC Voltage can produce the same amount of power as the same value DC voltage.

It is used because to find the effective value of AC(Voltage or current)

RMS or Root Mean Square is a trigonometric method of calculating power under the curve.The fact is that any mechanical meter movement Will do this automatically.

So, Vrms=1/√2.Vpk

b) As the name implies,Vrms is calculated by taking the square root of the mean average of the square of the voltage in an approximately choose travel. In case of symmetrical wave like triangle wave,a quarter cycle faithfully represents all four quarters cycles of the waveform.

So,Vrms=1/√3.Vpk whereas ,

Square wave RMS value is

Vrms=Vpk

c) Lissajous figures were sometimes displayed on oscilloscopes meant to simulate high-tech equipment in scientific fiction TV shows and movies in the 2960s and 1970s.

In a sequence towards the end of an episode of columbo entitled "the detective sits watching Lissajous curves displayed to music on monitors in a TV outside broadcast van.

It can be sometime used in graphic design and logos.