A) \[{{\text{V}}_{\text{0}}}\]
B) \[\frac{{{V}_{0}}}{\sqrt{2}}\]
C) \[\frac{{{V}_{0}}}{2}\]
D) \[\frac{{{V}_{0}}}{\sqrt{3}}\]
Correct Answer: B
Solution :
\[{{V}_{rms}}={{\left[ \frac{1}{T}\int_{0}^{T/2}{V_{0}^{2}dt} \right]}^{1/2}}\] \[={{\left[ \frac{V_{0}^{2}}{T}[t]_{0}^{T/2} \right]}^{1/2}}\] \[={{\left[ \frac{V_{0}^{2}}{T}\left( \frac{T}{2} \right) \right]}^{1/2}}\] \[{{V}_{rms}}={{\left[ \frac{V_{0}^{2}}{2} \right]}^{1/2}}\] \[{{V}_{rms}}=\frac{V_{0}^{{}}}{\sqrt{2}}\]
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