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GATE 2015 EE - SET 1 - Question 39

Solution :

V_{0} = A(V_{+}-V_{-})

V_{0} = 1000(0-V_{A})

V_{0} = -1000 V_{A}

KCL at A ,
\frac{V_{A}-V_{i}}{1000} - \frac{V_{A}-V_{0}}{X_{C}} = 0

\frac{V_{A}-V_{i}}{1000} =\frac{V_{A}-(-1000V_{A})}{\frac{1}{SC}}

V_{A}-V_{i} =(1000)\left [ V_{A} +1000V_{A}\right ]SC

V_{A}-V_{i} = (1001)*10^{3}*SC \left [ V_{A} \right ]

V_{A}-V_{i} = (1001)*10^{3}* 1* 10^{-6}

⇒ 1001 -10^-{3}  ⇒ 1.001s = 1001ms

 

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