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NEET 2011
Exam
NEET
Year
2011
Subject
Physics
Chapter
Alternating Current

NEET 2011 · Physics · Alternating Current

The rms value of potential difference V shown in the figure is

The rms value of potential difference VV shown in the figure is The rms value of potential difference V shown in the figure is

Options

  1. AV0V_0
  2. BV02\frac{V_0}{\sqrt{2}}
  3. CV02\frac{V_0}{2}
  4. DV03\frac{V_0}{\sqrt{3}}

Correct answer

B. V02\frac{V_0}{\sqrt{2}}

Step-by-step solution

Vrms=[1T∫0T/2V02dt]1/2V_{\mathrm{rms}}=\left[\frac{1}{T} \int_0^{T / 2} V_0^2 d t\right]^{1 / 2}=[V02T[t]0T/2]1/2=[V02T(T2)]1/2Vrms=[V022]1/2Vmms=V02\begin{aligned}& =\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_{\mathrm{rms}} & =\left[\frac{V_0^2}{2}\right]^{1 / 2}\\ V_{\mathrm{mms}} & =\frac{V_0}{\sqrt{2}} \end{aligned}$$
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