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Electronics/RCL time domain2
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Figure 1: RCL circuitFigure 1: RCL circuit
Example
Given the following values what is the response of the system when the switch is closed?
R L C V 0.5H 1kΩ 100nF 1V
Solve for and :
From equation \ref{eq:vf}, for a unit step of magnitude
1V. Therefore substitution of and into equation \ref{eq:nonhomogeneous} gives:
for the voltage across the capacitor is zero,
for , the current in the inductor must be zero,
substituting from equation \ref{eq:B1} gives
For , is given by:
is given by:
For , is given by: