AND ELECTRICAL COMPUTER ENGINEERING
CONCEPTUA L
TOOLS
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by Neil E. Cotter Research Assistant Professor
Last Updated: 6/7/2009
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RLC CIRCUITS COMPONENT EQUATIONS v=Ri i = C dv/dt v = L di/dt C (CAPACITOR) EQUATIONS i = C dv/dt Series capacitors Parallel capacitors Initial conditions
C = OPEN CIRCUIT CHARGE SHARING V SRC MODEL
Final conditions open circuit Energy stored Example 1 (pdf) Example 2 (pdf) L (INDUCTOR) EQUATIONS v = L di/dt Series inductors Parallel inductors Initial conditions
L = WIRE CURRENT DIVISION I SRC MODEL
Final conditions wire Energy stored Example 1 (pdf) Example 2 (pdf) RC/RL DIFFERENTIAL EQN SOL'N circuit RC RL circuit GENERAL RC/RL SOLUTION General solution Time const Thev equiv Solution procedure Short charging times Example 1 (pdf) Example 2 (pdf) Example 3 (pdf) Example 4 (pdf) Example 5 | (pdf) Example 6 (pdf) Example 7 (pdf) RLC DIFFERENTIAL EQN SOL'N Series RLC Parallel RLC
RLC CHARACTERISTIC ROOTS/DAMPING Series Parallel Overdamped roots Underdamped roots Critically damped roots Example (pdf) Example 2 (pdf) Example 3 (pd...