Select the correct statement(s) regarding the ideal op-amp differentiator circuit. S1: The output voltage is zero for a constant input voltage. S2: The output voltage is the sum of the input signal. 

Explanation:

The ideal op-amp differentiator operates based on the following principle:

• When a varying input voltage is applied, the capacitor in the feedback path reacts to changes in the voltage, producing a current proportional to the rate of change of the input signal.
• This current flows through the resistor, creating a voltage at the output proportional to the derivative of the input voltage.
• For a constant input voltage, there is no change or variation (i.e., the derivative is zero), resulting in a zero output voltage.

Correct Option Analysis:

The correct option is:

Option 3: Only S1.

S1 states that "The output voltage is zero for a constant input voltage." This is correct because the op-amp differentiator circuit generates an output voltage proportional to the derivative of the input voltage. For a constant input voltage, the rate of change (derivative) is zero, resulting in a zero output voltage.

Additional Information 

Differentiator:

• The basic operational amplifier differentiator circuit produces an output signal that is the first derivative of the input signal.
• The input signal to the differentiator is applied to the capacitor. The capacitor blocks any DC content, so there is no current flow to the amplifier summing point, X, resulting in zero output voltage.
• The capacitor only allows AC-type input voltage changes to pass through, and its frequency is dependent on the rate of change of the input signal.