Electric Circuits and Networks

11.13 SUMMARY

• RC circuits are described by first-order linear differential equations. The past history of the circuit is contained in a single initial condition specification for capacitor voltage in RC circuits.
• The solution of the differential equation describing the capacitor voltage in a RC circuit contains two terms — the complementary function and particular integral. Complementary function is the solution of differential equation with zero forcing function. Particular integral is the solution of the differential equation with the assumption that the forcing function was applied from infinite past onwards. The total solution is obtained by adding these two. The complementary function has arbitrary amplitude that should be fixed by ensuring ...