Question : The RMS value of potential difference V shown in the figure is
a) V₀/2
b) V₀/√3
c) V₀
d) V₀/√2
Doubt by Eshani and Mohini
Solution :
In order to calculate the root mean square value of voltage, the time period will be taken from 0 to T only.
Vrms = √[(v12+v22)/2]
Vrms = √[(v₀2+(0)2)/2]
Vrms = √[(v₀2)/2]
Vrms= v₀/√2
Vrms = √[(v12+v22)/2]
Vrms = √[(v₀2+(0)2)/2]
Vrms = √[(v₀2)/2]
Vrms= v₀/√2
Hence, d) would be the correct answer.
Useful Formula
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZOdO1HWJNyrddfrXtCTha2RwFdCdRfkMOOGzIHO_XZos5XKypNeAaiz0pAH9kV9IF-Tt9clICWu5jys_cUZ92g_LARRzRFVD3fEQS00dZuANN42VL6rMfuAOzWADtGirjRNFhYgE7GMw/w400-h100/image.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZOdO1HWJNyrddfrXtCTha2RwFdCdRfkMOOGzIHO_XZos5XKypNeAaiz0pAH9kV9IF-Tt9clICWu5jys_cUZ92g_LARRzRFVD3fEQS00dZuANN42VL6rMfuAOzWADtGirjRNFhYgE7GMw/w400-h100/image.png)
⭐ Calculate the rms value of the alternating current shown in figure.