The common addition circuit is illustrated, with Figure (a) depicting the inverting adder circuit. The input-output relationship is expressed as Vo = -(Vi1 + Vi2). For phase addition, the circuit shown in Figure (b) can be utilized, with the input-output relationship given by Vo = (Vi1 + Vi2).
The inverting adder circuit is a fundamental operational amplifier (op-amp) configuration used to perform the addition of multiple input signals. In this configuration, the op-amp is connected in an inverting mode, where the inputs are applied through resistors to the inverting terminal. The non-inverting terminal is typically grounded.
In the inverting adder circuit (Figure a), the output voltage (Vo) is a negative sum of the input voltages (Vi1 and Vi2), scaled by the feedback and input resistors. The relationship can be mathematically expressed as Vo = - (Vi1 + Vi2), indicating that the output is inverted relative to the sum of the inputs. The resistors connected to the input terminals determine the gain of each input signal. If the resistors are equal, the outputs will be inversely proportional to the inputs.
For phase addition, the circuit depicted in Figure (b) employs a different configuration that allows for the summation of input signals without inversion. In this case, the output voltage is given by Vo = (Vi1 + Vi2), which directly represents the algebraic sum of the input voltages. This configuration typically involves a non-inverting summation approach, where the op-amp is configured to add the inputs in phase, resulting in a positive output that reflects the total of the input signals.
Both configurations are widely used in analog signal processing applications, such as audio mixing, data acquisition systems, and various forms of signal manipulation where the summation of multiple signals is required. Proper selection of resistor values and op-amp specifications is crucial to ensure desired performance, including bandwidth, slew rate, and output drive capability. As shown for the common addition circuit. Figure (a) is the inverting adder circuit, an input-output relationship is: Vo - (Vil + Vi2) When you need to phase addition, the circ uit shown in Figure may be used (b), the input-output relationship is: Vo Vil + Vi2
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