Series RLC Step Response Calculator
Calculate the capacitor voltage after a DC step in an initially unenergized ideal series RLC circuit.
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Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Evaluate the underdamped, critically damped or overdamped second-order capacitor response.
LC v″+RC v′+v=Vstep with v(0)=v′(0)=0
Worked example
At time zero the capacitor voltage is zero. A lossless series LC response is Vstep(1−cos(ω0t)).
Assumptions and input details
Ideal passive components, zero initial energy and an ideal source step. Near-critical cases use the continuous critical limit. No switch, parasitic, nonlinear or component-rating analysis.
Unit definitions
Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.
SI prefixes are explicit: for example, milli means one thousandth, micro one millionth and kilo one thousand. Changing a unit changes the interpretation of the entered number.
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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