RC Series Circuit Model: Charge and Discharge Processes

This page delves into the model of a series RC circuit, which consists of a resistor (R) and a capacitor (C) connected in series. It presents the circuit diagrams for both charging and discharging processes, along with the corresponding mathematical equations.

The text explains the application of Kirchhoff's voltage law (loop rule) to derive the differential equations governing the behavior of the circuit during charging and discharging. It then provides the solutions to these equations, showing how the voltage across the capacitor changes over time in both cases.

Example: For the charging process, the voltage across the capacitor is given by Uc = E(1 - e^(-t/RC)), where E is the applied voltage, R is the resistance, C is the capacitance, and t is time.

Highlight: The page introduces the concept of the characteristic time constant (τ) for RC circuits, defined as τ = RC. This time constant is crucial for understanding the rate at which the capacitor charges or discharges.

The page concludes with graphical representations of the charging and discharging curves, illustrating how the voltage across the capacitor changes over time in both processes. These graphs help visualize the exponential nature of the charge and discharge behaviors in Circuit RC série formule.