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Neil E. Cotter
Associate Professor (Lecturer)
RLC circuits
Component equations
v = R i (see Circuits:Ohm's law)
i = C dv/dt
v = L di/dt
C (capacitor) equations
i = C dv/dt
Example 1 (pdf)
Example 2 (pdf)
Series capacitors
Parallel capacitors
Initial conditions
C = open circuit
Charge sharing
V src model
Final conditions open circuit
Energy stored
Example 1 (pdf)
L (inductor) equations
v = L di/dt
Example 1 (pdf)
Example 2 (pdf)
Series inductors
Parallel inductors
Initial conditions
L = wire
Current division
I src model
Final conditions wire
Energy stored
Example 1 (pdf)
RC/RL Differential eqn sol'n
RC circuit
RL circuit
General RC/RL solution
RC/RL general solution summary (pdf)
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)
Example 8 (pdf)
Example 9 (pdf)
Example 10 (pdf)
Example 11 (pdf)
Example 12 (pdf)
Example 13 (pdf)
Dependent sources
Example 1 (pdf)
Example 2 (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 (pdf)
Example 4 (pdf)
Example 5 (pdf)
Example 6 (pdf)
General RLC solution
Initial conditions
Damping: over, under, critical sol'n forms
RLC general solution summary | (pdf)
Example 1 (pdf)
Example 2 (pdf)
Example 3 (pdf)
Example 4 (pdf)
Example 5 (pdf)
Example 6 (pdf)
†Example 7 (pdf)
Example 8 (pdf)
Example 9 (pdf)
Example 10 (pdf)