Summing Amplifier Calculator

✖Feedback Resistance is the value of the feedback resistor of an inverting summing amplifier.ⓘ Feedback Resistance [R_F]			+10% -10%
✖Input Resistance of Summing Amplifier is the value of input resistor of an inverting summing amplifier.ⓘ Input Resistance of Summing Amplifier [R_in]			+10% -10%
✖Number of Input Voltages of Summing Amplifier is the count of input voltages.ⓘ Number of Input Voltages of Summing Amplifier [i]			+10% -10%
✖Input Voltages of Summing Amplifier are the input voltages that are applied to inverting summing amplifiers.ⓘ Input Voltages of Summing Amplifier [V_i]			+10% -10%

✖Output Voltage of Summing Amplifier is the output voltage of summing amplifier when the op amp is in inverting configuration.ⓘ Summing Amplifier [V_out]

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Summing Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Voltage of Summing Amplifier = -(Feedback Resistance/Input Resistance of Summing Amplifier)*(sum(x,1,Number of Input Voltages of Summing Amplifier,Input Voltages of Summing Amplifier))
V_out = -(R_F/R_in)*(sum(x,1,i,V_i))
This formula uses 1 Functions, 5 Variables

Functions Used

sum - Summation or sigma (∑) notation is a method used to write out a long sum in a concise way., sum(i, from, to, expr)

Variables Used

Output Voltage of Summing Amplifier - (Measured in Volt) - Output Voltage of Summing Amplifier is the output voltage of summing amplifier when the op amp is in inverting configuration.
Feedback Resistance - (Measured in Ohm) - Feedback Resistance is the value of the feedback resistor of an inverting summing amplifier.
Input Resistance of Summing Amplifier - (Measured in Ohm) - Input Resistance of Summing Amplifier is the value of input resistor of an inverting summing amplifier.
Number of Input Voltages of Summing Amplifier - Number of Input Voltages of Summing Amplifier is the count of input voltages.
Input Voltages of Summing Amplifier - (Measured in Volt) - Input Voltages of Summing Amplifier are the input voltages that are applied to inverting summing amplifiers.

STEP 1: Convert Input(s) to Base Unit

Feedback Resistance: 3 Ohm --> 3 Ohm No Conversion Required
Input Resistance of Summing Amplifier: 40 Ohm --> 40 Ohm No Conversion Required
Number of Input Voltages of Summing Amplifier: 6 --> No Conversion Required
Input Voltages of Summing Amplifier: 4 Volt --> 4 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_out = -(R_F/R_in)*(sum(x,1,i,V_i)) --> -(3/40)*(sum(x,1,6,4))

Evaluating ... ...

V_out = -1.8

STEP 3: Convert Result to Output's Unit

-1.8 Volt --> No Conversion Required

FINAL ANSWER

-1.8 Volt <-- Output Voltage of Summing Amplifier

(Calculation completed in 00.004 seconds)

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< Basic Characteristics Calculators

Summing Amplifier

LaTeX Go Output Voltage of Summing Amplifier = -(Feedback Resistance/Input Resistance of Summing Amplifier)*(sum(x,1,Number of Input Voltages of Summing Amplifier,Input Voltages of Summing Amplifier))

Gain with Feedback of Feedback Amplifier

LaTeX Go Gain with Feedback = (Open Loop Gain of an Operational Amplifier)/Amount of Feedback

Closed-Loop Gain as Function of Ideal Value

LaTeX Go Closed-Loop Gain = (1/Feedback Factor)*(1/(1+(1/Loop Gain)))

Amount of Feedback Given Loop Gain

LaTeX Go Amount of Feedback = 1+Loop Gain

Summing Amplifier Formula

LaTeX Go

What is the purpose of Summing Amplifier?

The inverting summing amplifier is a versatile circuit topology that finds widespread use in electronic systems where signal summation, mixing, weighting, and polarity inversion are required. Its flexibility and simplicity make it a valuable building block in many analog circuit designs.

How to Calculate Summing Amplifier?

Summing Amplifier calculator uses Output Voltage of Summing Amplifier = -(Feedback Resistance/Input Resistance of Summing Amplifier)*(sum(x,1,Number of Input Voltages of Summing Amplifier,Input Voltages of Summing Amplifier)) to calculate the Output Voltage of Summing Amplifier, The Summing Amplifier formula is defined as an operational amplifier (op-amp) configuration that combines multiple input signals with adjustable gain and polarity inversion. Output Voltage of Summing Amplifier is denoted by V_out symbol.

How to calculate Summing Amplifier using this online calculator? To use this online calculator for Summing Amplifier, enter Feedback Resistance (R_F), Input Resistance of Summing Amplifier (R_in), Number of Input Voltages of Summing Amplifier (i) & Input Voltages of Summing Amplifier (V_i) and hit the calculate button. Here is how the Summing Amplifier calculation can be explained with given input values -> -1.8 = -(3/40)*(sum(x,1,6,4)).

FAQ

What is Summing Amplifier?

The Summing Amplifier formula is defined as an operational amplifier (op-amp) configuration that combines multiple input signals with adjustable gain and polarity inversion and is represented as V_out = -(R_F/R_in)*(sum(x,1,i,V_i)) or Output Voltage of Summing Amplifier = -(Feedback Resistance/Input Resistance of Summing Amplifier)*(sum(x,1,Number of Input Voltages of Summing Amplifier,Input Voltages of Summing Amplifier)). Feedback Resistance is the value of the feedback resistor of an inverting summing amplifier, Input Resistance of Summing Amplifier is the value of input resistor of an inverting summing amplifier, Number of Input Voltages of Summing Amplifier is the count of input voltages & Input Voltages of Summing Amplifier are the input voltages that are applied to inverting summing amplifiers.

How to calculate Summing Amplifier?

The Summing Amplifier formula is defined as an operational amplifier (op-amp) configuration that combines multiple input signals with adjustable gain and polarity inversion is calculated using Output Voltage of Summing Amplifier = -(Feedback Resistance/Input Resistance of Summing Amplifier)*(sum(x,1,Number of Input Voltages of Summing Amplifier,Input Voltages of Summing Amplifier)). To calculate Summing Amplifier, you need Feedback Resistance (R_F), Input Resistance of Summing Amplifier (R_in), Number of Input Voltages of Summing Amplifier (i) & Input Voltages of Summing Amplifier (V_i). With our tool, you need to enter the respective value for Feedback Resistance, Input Resistance of Summing Amplifier, Number of Input Voltages of Summing Amplifier & Input Voltages of Summing Amplifier and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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