GATE EC 2022 Set 1 — Question 58
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Analog Circuits → Data Converters → DAC (Weighted, R-2R)
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Question
Consider the circuit shown with an ideal OPAMP. The output voltage is __________V (rounded off to two decimal places).
Correct answer
-0.55
Solution
1.Analyze the R-2R ladder network at the non-inverting terminal ():
The network is a standard R-2R ladder with 5 vertical branches. Let's label the nodes from left to right as . - Leftmost branch: to ground (termination).
- Branch at : to ground.
- Branch at : to .
- Branch at : to ground.
- Branch at : to .
- Branch at : to ground.
- .
- .
- .
- .
- .
2.Analyze the OPAMP circuit:
The circuit is a non-inverting amplifier configuration with respect to . The inverting terminal is connected to ground through a resistor , and the feedback resistor is .The gain .
The output voltage .
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