I4 RA R2 R3 I3 o Vout in V_ R1 V+

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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I4
R4
I2
R2
R3
I3
i-
Vout
Vin -
V-
R1
V+
+
Transcribed Image Text:I4 R4 I2 R2 R3 I3 i- Vout Vin - V- R1 V+ +
The circuit above is a slightly modified version of the op-amp inverting amplifier. Since this is still an inverting amplifier with negative feedback loop, the
output voltage will be equal to
Vout = -k x Vn
In the case of the regular inverting amplifier, the value of k was simply R2/R, However, for this modified version, the value of k will depend on
R1, R2, R3, R4
Following the similar steps shown in the lecture, derive the value of kin terms of R1, R2, R3, R4
Remember, for an op-amp with negative feedback loop,
• V = V
• i =i = 0
Hint 1: If you consider the above two facts about op-amp in negative feedback, the problem becomes all about KVL, KCL, and Ohm's law. Finding the
following variables in order will help: V4, V_,I1, I2, Vz, I3, I4, Vout Or, you can use nodal equation to solve for voltages directly without finding out the
currents.
Hint 2: Plug in the following values in your derived expression, put it in the following box and press submit to check if the value of kis correct:
R, = 7 kN R, = 12 kN R = 6 kN R. = 10 kN Note that we will not check the buX answer and it is NOT MANDATORY to submit the answer in buX.
This option is available only for you to cross-check your answer.
Value of k for above parameters:
Transcribed Image Text:The circuit above is a slightly modified version of the op-amp inverting amplifier. Since this is still an inverting amplifier with negative feedback loop, the output voltage will be equal to Vout = -k x Vn In the case of the regular inverting amplifier, the value of k was simply R2/R, However, for this modified version, the value of k will depend on R1, R2, R3, R4 Following the similar steps shown in the lecture, derive the value of kin terms of R1, R2, R3, R4 Remember, for an op-amp with negative feedback loop, • V = V • i =i = 0 Hint 1: If you consider the above two facts about op-amp in negative feedback, the problem becomes all about KVL, KCL, and Ohm's law. Finding the following variables in order will help: V4, V_,I1, I2, Vz, I3, I4, Vout Or, you can use nodal equation to solve for voltages directly without finding out the currents. Hint 2: Plug in the following values in your derived expression, put it in the following box and press submit to check if the value of kis correct: R, = 7 kN R, = 12 kN R = 6 kN R. = 10 kN Note that we will not check the buX answer and it is NOT MANDATORY to submit the answer in buX. This option is available only for you to cross-check your answer. Value of k for above parameters:
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