@electricalmath: A step-by-step solution to an RC circuit analysis problem. To find the voltage across the capacitor after a switching event, we need to determine three quantities. 1. The initial voltage 2. The time constant 𝜏 3. The final (or steady-state) voltage To find the initial voltage 𝑣(0), we need to analyze the circuit prior to the switching event and use the fact that the capacitor voltage must be continuous. We find the time constant 𝜏 = 𝑅𝐶 by multiplying the capacitance by the equivalent resistance the capacitor sees. In other words, the Thévenin resistance. Finally, the steady-state voltage 𝑣(∞) is obtained by recognizing that a capacitor behaves as an open circuit in dc steady state conditions. #electrical #electricalengineering #electronics