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Discharging of Capacitors

An op-amp cir...

Question

An op-amp circuit is given below.

The overall voltage gain for the circuit will be

A

2

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B

-8

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C

-16

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D

4

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Solution

The correct option is B -8
Redrawing the circuit

Applying KCL at inverting node
$\frac{V_{i} - 0}{10 k} = \frac{0 - V_{1}}{(10 + \frac{10}{3}) k} . . . . . . (i)$
Applying KCL at $V_{1}$ node

$\frac{V_{1} - 0}{(10 + \frac{10}{3}) k} + \frac{V_{1}}{\frac{10}{3} k} + \frac{V_{1} - V_{0}}{(10 + \frac{10}{3}) k} = 0$

from here

$\frac{V_{0}}{V_{1}} = - 8$

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