Calculate the voltage v. for the following cascaded operational amplif...
Solution:
To solve this circuit, we can use the concept of virtual ground and assume the voltage at the inverting input of each op-amp to be equal to the voltage at the non-inverting input (i.e., zero). Using this assumption, we can determine the output voltage of each op-amp and work our way through the circuit to find the final voltage.
1. Determine the output voltage of the first op-amp:
Since the voltage at the inverting input is zero, the voltage at the non-inverting input is also zero (due to the feedback resistor). Therefore, the output voltage of the first op-amp is:
v1 = 10V * (10kΩ / (10kΩ + 30Ω)) = 7.5V
2. Determine the output voltage of the second op-amp:
Again, using the virtual ground assumption, we can see that the voltage at the non-inverting input is zero. Therefore, the output voltage of the second op-amp is:
v2 = (7.5V - 10V) * (-100kΩ / 10kΩ) = -67.5V
Note that the negative sign indicates an inversion of the signal.
3. Determine the output voltage of the third op-amp:
Applying the virtual ground assumption once more, we can see that the voltage at the non-inverting input is zero. Therefore, the output voltage of the third op-amp is:
v3 = (-67.5V * 200kΩ / 10kΩ) = -1350V
Note that this is a very large negative voltage, which indicates that the circuit is probably not practical or realistic.
4. Determine the final voltage:
Since the output of the third op-amp is not practical, we can assume that the circuit is not functioning as intended. Therefore, there is no meaningful final voltage to calculate.
Answer: D. 52V (incorrect)
Explanation: The answer choices provided are not correct, as we have shown that the circuit does not produce a meaningful final voltage. Therefore, we cannot choose any of the given answer choices.
Calculate the voltage v. for the following cascaded operational amplif...
52
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