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Series RLC Circuit
Capacitive Reactance
Inductive Reactance
Calculating the Impedance
Calculate the RMS current in the circuit
Calculate the voltage across the resistor, inductor, and capacitor
Voltage across inductor
Calculating voltage across capacitor
How much power is consumed in the circuit
Resonant Frequency of Series RLC Circuit
Introduction
Initial conditions
Second Initial Condition
Differential equation for series RLC circuit
Deriving the inductor current
The characteristic equation
General solution for the capacitor voltage
Evaluation at t = 0
Physical relationship between current through a capacitor and voltage across a capacitor
Voltage across the inductor
Intro
Parallel circuit response
Series RLC circuit
Plugging the solution into the differential equation
RLC circuit response forms
Parallel RLC Circuit Example
Damping frequency
Finding the derivative of the voltage as a function of time
Step response vs. natural response
Natural Response: Initial Conditions