RMS Current and Voltage Video Lessons

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# Problem: A 25 nF capacitor is connected across an AC generator that produces a peak voltage of 5.4 V. What is the instantaneous value of the emf at the instant when ic=Ic?

###### FREE Expert Solution

Current:

$\overline{){{\mathbf{i}}}_{{\mathbf{c}}}{\mathbf{=}}{{\mathbf{I}}}_{{\mathbf{c}}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\left(}}{\mathbf{\omega }}{\mathbf{t}}{\mathbf{-}}\frac{\mathbf{\pi }}{\mathbf{2}}{\mathbf{\right)}}}$

If ic = Ic, then we will have:
$\begin{array}{rcl}{\mathbf{i}}_{\mathbf{c}}& \mathbf{=}& {\mathbf{i}}_{\mathbf{c}}\mathbf{c}\mathbf{o}\mathbf{s}\mathbf{\left(}\mathbf{\omega }\mathbf{t}\mathbf{-}\frac{\mathbf{\pi }}{\mathbf{2}}\mathbf{\right)}\\ \mathbf{1}& \mathbf{=}& \mathbf{c}\mathbf{o}\mathbf{s}\mathbf{\left(}\mathbf{\omega }\mathbf{t}\mathbf{-}\frac{\mathbf{\pi }}{\mathbf{2}}\mathbf{\right)}\end{array}$

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###### Problem Details

A 25 nF capacitor is connected across an AC generator that produces a peak voltage of 5.4 V. What is the instantaneous value of the emf at the instant when ic=Ic?