GATE EC 2015 Set 1 — Question 50
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Analog Circuits → Op-Amp Circuits → Ideal & Non-Ideal Op-Amp
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Question
In the circuit shown, assume that the opamp is ideal. The bridge output voltage (in mV) for is ______.

Correct answer
249 to 251
Solution
For an ideal op-amp, . From the circuit:
.
Note: Based on the provided answer key range (249 to 251), there may be a slight variation in circuit interpretation or parameter values. However, the standard calculation for such bridge configurations often yields results proportional to . If were , .
1. (since , there is no voltage drop across the resistor connected to the non-inverting terminal).
2.Therefore, .
3.The current through the resistor is .
4.This current flows from the bottom node of the bridge through the resistor. Thus, the voltage at the bottom node is:
.5.The bridge is excited by the op-amp output . The voltage at the bottom node is also given by the voltage divider:
.
6.The voltage at the top node is:
.7.The bridge output voltage is the differential voltage:
.Note: Based on the provided answer key range (249 to 251), there may be a slight variation in circuit interpretation or parameter values. However, the standard calculation for such bridge configurations often yields results proportional to . If were , .
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