=sign R1, R2, R3, R4, R5 to obtain v. ;(V1 + V2 + V3 + V4). This is known as an 4

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Problem:**

**a)** Determine \( v_o \) in terms of \( V_1, V_2, V_3, V_4 \).

**b)** Design \( R_1, R_2, R_3, R_4, R_5 \) to obtain \( v_o = -\frac{1}{4}(V_1 + V_2 + V_3 + V_4) \). This is known as an averaging amplifier, where the output is equal to the (negative) average of the inputs (Hint: Fix \( R_5 = 1k\Omega \) and pick the remaining resistors).

**Diagram Description:**

The diagram displays an op-amp circuit configured as an inverting averaging amplifier. The circuit has four input voltages, \( V_1, V_2, V_3, \) and \( V_4 \), each connected to a resistor (\( R_1, R_2, R_3, R_4 \), respectively) which feed into the inverting input of the operational amplifier. The non-inverting input of the op-amp is grounded. A feedback resistor (\( R_5 \)) is connected from the output \( v_o \) to the inverting input of the op-amp.

The objective is to determine the values of \( R_1, R_2, R_3, \) and \( R_4 \) such that the output voltage \( v_o \) is the negative average of the input voltages. Given that \( R_5 \) is fixed at \( 1k\Omega \), appropriate resistor values must be calculated or selected to achieve this configuration.
Transcribed Image Text:**Problem:** **a)** Determine \( v_o \) in terms of \( V_1, V_2, V_3, V_4 \). **b)** Design \( R_1, R_2, R_3, R_4, R_5 \) to obtain \( v_o = -\frac{1}{4}(V_1 + V_2 + V_3 + V_4) \). This is known as an averaging amplifier, where the output is equal to the (negative) average of the inputs (Hint: Fix \( R_5 = 1k\Omega \) and pick the remaining resistors). **Diagram Description:** The diagram displays an op-amp circuit configured as an inverting averaging amplifier. The circuit has four input voltages, \( V_1, V_2, V_3, \) and \( V_4 \), each connected to a resistor (\( R_1, R_2, R_3, R_4 \), respectively) which feed into the inverting input of the operational amplifier. The non-inverting input of the op-amp is grounded. A feedback resistor (\( R_5 \)) is connected from the output \( v_o \) to the inverting input of the op-amp. The objective is to determine the values of \( R_1, R_2, R_3, \) and \( R_4 \) such that the output voltage \( v_o \) is the negative average of the input voltages. Given that \( R_5 \) is fixed at \( 1k\Omega \), appropriate resistor values must be calculated or selected to achieve this configuration.
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