The op-amp in the circuit shown in the figure works in linear mode. The output voltage Vo is
Right Answer is:
6
SOLUTION
According to the virtual ground concept for inverting amplifier
- The non-inverting input (+) is connected to the 0 V line.
- Part of the output voltage (or signal) is connected to the inverting input (—)
- The input voltage (or signal) is connected to the inverting input.
- A positive voltage is equal to the negative voltage
V+ = V−
Applying Nodal analysis on the Positive terminal i.e V+
$\begin{array}{l}\dfrac{{{V^ + } – 0}}{{20K\Omega }} + \dfrac{{{V^ + } – {V_{out}}}}{{100K\Omega }} = 0\\\\= \dfrac{{5{V^ + } + {V^ + } – {V_{out}}}}{{100K\Omega }}\end{array}$
6V+ − Vo = 0 —–1
Applying Nodal analysis on the Negative terminal i.e V−
$\begin{array}{l}\dfrac{{{V^ – } – 1.2}}{{20K\Omega }} + \dfrac{{{V^ – } – 0}}{{100K\Omega }} = 0\\\\= \dfrac{{5{V^ – } + {V^ – } – 6}}{{100K\Omega }}\end{array}$
6V− = 6
V− = 1 V
Since V+ = V−
V+ = V− = 1 V
Putting the value of V+ = 1 V in equation 1
6 × 1 − Vo = 0
Vo = 6V