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Gate 2016 EE Set 2 - Question 37

V_{ci}=4V; t=25\mu s to t=100\mu s

i(t)=\frac{V}{R}e^{\frac{-t}{\tau }}

i(t)=\frac{4}{5}e^{\frac{-t}{\tau }}

Where, \tau =RC=(5)(5\times 10^{-6})=25\times 10^{-6}sec

\int_{25\mu s}^{100\mu s}i(t)dt=\int_{25\mu s}^{100\mu s}\frac{4}{5}e^{\frac{-t}{25\times 10^{-6}}}

\Rightarrow 6.99\times 10^{-6}C \Rightarrow 6.99\mu C

 

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