SDG Electronics

Weighted summing amplifier

Weighted summing amplifier with circuit equations and operating-limit checks.

Development preview. Check the assumptions below before relying on a result. Calculations run in your browser.

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How it calculates

Inverting sum: Vout = −Rf Σ(Vi/Ri)

Non-inverting sum: Vout = (1 + Rf/Rg) Σ(Vi/Ri)/Σ(1/Ri)

Assumptions

  • The ideal linear solution is reported without clipping. Operating-limit warnings indicate where it is not physically achievable.
  • At levels 3–6, entered values describe a generic voltage-feedback amplifier; these are not guaranteed specifications for any particular device.
  • Gain, AC response, signal amplitude and SNR refer to the first input with all other ideal input sources AC-grounded. The non-inverting summing resistors mutually load the input sources.

Worked example

These are the calculator's default inputs. Change any input above to recalculate.

Inputs

Summing configuration
inverting
Input voltages
1, 2, 3 V
Input resistors
10000, 20000, 30000 Ω
Feedback resistor
10000 Ω
Ground resistor (non-inverting)
10000 Ω
Model level
1
Independent resistor tolerance
1 %
Operating temperature
25 °C
Feedback resistor TCR
25 ppm/°C
Input resistor TCR
25 ppm/°C
Positive supply
15 V
Negative supply
-15 V
Output rail headroom
1 V
Maximum input common-mode voltage
13 V
Minimum input common-mode voltage
-13 V
Output load
10000 Ω
Maximum linear output current
0.02 A
Non-inverting source resistance
100 Ω
Input offset bound
0.0005 V
Offset drift bound
0.000002 V/K
Non-inverting input bias current
2e-8 A
Inverting input bias current
2e-8 A
DC open-loop gain
100 dB
Common-mode rejection
100 dB
Power-supply rejection
100 dB
Supply change
0.1 V
Gain-bandwidth product
1000000 Hz
Slew rate
500000 V/s
Signal frequency
1000 Hz
Input peak amplitude
0.1 V
Input voltage white noise
1e-8 V/√Hz
Input current white noise
1e-12 A/√Hz
Voltage-noise 1/f corner
10 Hz
Noise integration low frequency
1 Hz
Noise integration high frequency
20000 Hz
Open-loop output resistance
50 Ω
Inverting input capacitance
5e-12 F
Load capacitance
1e-10 F
Output isolation resistor
0 Ω
Additional open-loop pole
10000000 Hz

Results

Ideal output
-3 V
Signal gain
-1
Noise gain
2.83333

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