The Series RC Circuit Functions and Simulation

Square wave response

The voltage drop across the capacitor alternates between V1 (1V) and discharging down to zero according to the input voltage. Here in this example, the frequency (and therefore the resulting time period, ƒ = 1/T = 1/100 Hz = 0.01s).

RC of the circuit is: 103 * 10-6 = 10-3 sec = 1ms.

This (10RC) time constant, 0.01s = 10ms, allows the capacitor to fully charge during the "ON" period (0-to-5RC) of the input waveform and then fully discharge during the "OFF" period (5-to-10RC) resulting in a perfectly matched RC waveform. If the time period of the input waveform is made longer (lower frequency, ƒ < 1/10RC) for example an "ON" half-period pulse width equivalent to say "8RC", the capacitor would then stay fully charged longer and also stay fully discharged longer producing an RC waveform as shown.

Voltage across the resistor

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Step Responce of the Low Pass Filter

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The Step Response

The Step Response across resistor