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Summing Amplifier Formula

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Output Voltage of Summing Amplifier is the output voltage of summing amplifier when the op amp is in inverting configuration. Check FAQs

V out = - (\frac{R F}{R in}) \cdot (\sum (x, 1, i, V i))

V_out - Output Voltage of Summing Amplifier?R_F - Feedback Resistance?R_in - Input Resistance of Summing Amplifier?i - Number of Input Voltages of Summing Amplifier?V_i - Input Voltages of Summing Amplifier?

Summing Amplifier Example

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Here is how the Summing Amplifier equation looks like with Values.

Here is how the Summing Amplifier equation looks like with Units.

Here is how the Summing Amplifier equation looks like.

-1.8 = - (\frac{3}{40}) \cdot (\sum (x, 1, 6, 4))

-1.8V = - (\frac{3Ω}{40Ω}) \cdot (\sum (x, 1, 6, 4V))

-1.8 = - (\frac{3}{40}) \cdot (\sum (x, 1, 6, 4))

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Summing Amplifier Solution

Follow our step by step solution on how to calculate Summing Amplifier?

FIRST Step Consider the formula

V out = - (\frac{R F}{R in}) \cdot (\sum (x, 1, i, V i))

Next Step Substitute values of Variables

∴

V out = - (\frac{3Ω}{40Ω}) \cdot (\sum (x, 1, 6, 4V))

Next Step Prepare to Evaluate

∴

V out = - (\frac{3}{40}) \cdot (\sum (x, 1, 6, 4))

LAST Step Evaluate

∴

V out = -1.8V

Summing Amplifier Formula Elements

Variables

Functions

Output Voltage of Summing Amplifier

Output Voltage of Summing Amplifier is the output voltage of summing amplifier when the op amp is in inverting configuration.

Symbol: V_out

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Output Voltage of Summing Amplifier

Feedback Resistance

Feedback Resistance is the value of the feedback resistor of an inverting summing amplifier.

Symbol: R_F

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Feedback Resistance

Input Resistance of Summing Amplifier

Input Resistance of Summing Amplifier is the value of input resistor of an inverting summing amplifier.

Symbol: R_in

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Input Resistance of Summing Amplifier

Number of Input Voltages of Summing Amplifier

Number of Input Voltages of Summing Amplifier is the count of input voltages.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Input Voltages of Summing Amplifier

Input Voltages of Summing Amplifier

Input Voltages of Summing Amplifier are the input voltages that are applied to inverting summing amplifiers.

Symbol: V_i

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Input Voltages of Summing Amplifier

sum

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

Syntax: sum(i, from, to, expr)

Other formulas in Basic Characteristics category

Go Amount of Feedback Given Loop Gain

F am = 1 + Aβ

Go Closed-Loop Gain as Function of Ideal Value

A cl = (\frac{1}{β}) \cdot (\frac{1}{1 + (\frac{1}{Aβ})})

Go Gain with Feedback of Feedback Amplifier

A f = \frac{A}{F am}

How to Evaluate Summing Amplifier?

Summing Amplifier evaluator 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 evaluate 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 evaluate Summing Amplifier using this online evaluator? To use this online evaluator 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.

FAQs on Summing Amplifier

What is the formula to find Summing Amplifier?

The formula of Summing Amplifier is expressed as 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)). Here is an example- -1.8 = -(3/40)*(sum(x,1,6,4)).

How to calculate Summing Amplifier?

With 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) we can find Summing Amplifier using the formula - 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)). This formula also uses Summation Notation Function function(s).

Can the Summing Amplifier be negative?

Yes, the Summing Amplifier, measured in Electric Potential can be negative.

Which unit is used to measure Summing Amplifier?

Summing Amplifier is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Summing Amplifier can be measured.

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Summing Amplifier Formula

Summing Amplifier Example

Summing Amplifier Solution

Summing Amplifier Formula Elements

Other formulas in Basic Characteristics category

How to Evaluate Summing Amplifier?

FAQs on Summing Amplifier

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