Question

Consider the circuit shown in the figure below:

$\text{If the input to the ideal op-amp is given as}x\left(t\right)=1.5u\left(t\right)\text{where}u\left(t\right)\text{is a step function, then the output is represented as}$

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

The input current i(t) is equal to
$i\left(t\right)=\frac{V_{\text{in}}\left(t\right)}{200\text{k}\Omega }$

$V_0=\frac{1}{C}\int i\left(t\right)dt-\frac{1}{200\times {10}^3\times 0.1\times {10}^{-6}}\int V_{\text{in}}\left(t\right)dt$

$=(-50)\left(1.5\right)t=-75t$