The correct answer is:
(b) Vo=−AVinV_o = -A V_{in}Vo=−AVin
Explanation:
In an inverting amplifier configuration using an operational amplifier, the output voltage is the negative amplified version of the input voltage. The relationship is given by:
Vo=−AVinV_o = -A V_{in}Vo=−AVin
Where:
- VoV_oVo is the output voltage.
- AAA is the gain of the op-amp (which could be set by external resistors in the circuit).
- VinV_{in}Vin is the input voltage.
The negative sign indicates that the output is inverted (180° out of phase) compared to the input signal. The gain AAA is determined by the ratio of the feedback resistor and the input resistor in the circuit.
Why not the other options?
- (a) Vo=AVinV_o = A V_{in}Vo=AVin: This formula applies to a non-inverting amplifier, where the output is in phase with the input.
- (c) Vo=−A(Vin1−Vin2)V_o = -A(V_{in1} - V_{in2})Vo=−A(Vin1−Vin2): This applies to a differential amplifier, where the output depends on the difference between two input voltages.
- (d) None of the mentioned: Incorrect because option (b) is the correct formula for an inverting amplifier.