RC Circuit Simulation

Overview

The circuit consists of a resistor (R1) and a capacitor (C1) forming an RC circuit. The circuit is driven by a square wave voltage source (V1).

  • When the input voltage Vin switches from low to high, the capacitor C1 begins charging through the resistor R1.

  • When Vin switches from high to low, the capacitor discharges.

  • This creates a characteristic exponential charging and discharging behavior.

Time Constant

The time constant (τ) of an RC circuit is given by:

\[\tau = R \cdot C\]

For this simulation:

  • Resistance: R = 100 Omega

  • Capacitance: C = 100 mu F

  • Time Constant: τ = 100 × 100 × 10^{-6} = 0.01 s

Circuit Diagram

The following diagram illustrates the RC circuit:

RC Circuit Diagram

Simulation Output

The output voltage Vout follows an exponential response due to the capacitor’s charging and discharging behavior. The simulation produces the following waveform:

RC Circuit Output Waveform

Conclusion

The RC circuit acts as a low-pass filter, smoothing the square wave input into a more gradual exponential waveform. The simulation confirms this behavior by displaying the expected charging and discharging curves.