An AC signal conditioning stage uses a series RC network driven by a square wave, with the output taken across the resistor. In basic signal processing terms, this series capacitor followed by a resistor (output across R) behaves as which type of circuit?

Introduction:RC networks are widely used to shape waveforms. A classic configuration places a capacitor in series with the input and a resistor to ground, with the output taken across the resistor. This question identifies the functional behavior of that network when excited by a square wave.

Given Data / Assumptions:

• Series capacitor, then resistor to reference.
• Output node measured across the resistor.
• Input excitation is a square wave.

Concept / Approach:A series C with output across R forms a high-pass RC. For fast edges (square wave), the output approximates the time derivative of the input, producing narrow positive and negative spikes at transitions. Hence it acts as a differentiator when τ is small compared to the input period.

Step-by-Step Solution:1) Identify topology: capacitor first, resistor second, output across R.2) Recognize high-pass behavior: low frequencies blocked, rapid changes passed.3) For a square wave, edges are rapid changes; output shows spikes proportional to dVin/dt.4) Practical design sets RC such that τ << waveform period for good differentiation.

Verification / Alternative check:Observe oscilloscope response: spikes at rising and falling edges confirm differentiator action; steady-state between edges decays toward zero due to capacitor AC coupling.

Why Other Options Are Wrong:Integrator: requires output across C (low-pass), not R in a high-pass path.Multiplier: nonlinear function; RC linear and time-invariant.Divider: passive division is frequency-dependent, but the key behavior here is differentiation.

Common Pitfalls:Confusing placement of the output node; swapping which element you measure across inverts the function (integrator vs differentiator).

Final Answer:a differentiator