The circuit in question is designed around an operational amplifier (OPAMP) and needs to determine its function and gain.
First, consider the behavior of a high pass filter and a low pass filter. A high pass filter allows signals with frequencies higher than a certain cutoff frequency to pass through, while a low pass filter allows signals with frequencies lower than a certain cutoff to pass.
Next, analyze the gain of the filter. The gain of an OPAMP filter can be determined by the resistor values used in the circuit. Assuming standard configurations:
For a high-pass filter using an OPAMP, the configuration typically involves a capacitor in series with the input signal, and resistors to set the gain.
The gain \( G \) in a typical inverting amplifier configuration is given by:
$$ G = -\frac{R_f}{R_{in}} $$
where \( R_f \) is the feedback resistor and \( R_{in} \) is the input resistor.
In this question, the provided solution is a high pass filter with gain 2, indicating that:
$$ G = 2 $$
Based on this, the circuit in the figure is indeed a high pass filter.
Filter Type
High Pass
Gain
2
This confirms that the correct option is "High pass filter with gain = 2".
