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Physics
Find the root mean square voltage for the variation of voltage as shown in the adjacent figure <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-kowv7w6fayv7adah.jpg />
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Q. Find the root mean square voltage for the variation of voltage as shown in the adjacent figure
NTA Abhyas
NTA Abhyas 2022
A
$V_{0}\sqrt{\frac{7}{12}}$
B
$V_{0}\sqrt{\frac{1}{3}}$
C
$\frac{3 V_{0}}{4}$
D
$V_{0}\sqrt{\frac{7}{24}}$
Solution:
$V_{rms}=\sqrt{\frac{\int\limits _{0}^{1} V_{0}^{2} t^{2} dt + \int\limits _{1}^{2} \left(\frac{V_{0}}{2}\right)^{2} dt}{2}}=V_{0}\sqrt{\frac{7}{24}}$
