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Efficient Technique for Circuits with Capacitors: Independent of Source State

Learn an alternative solution technique for capacitor circuits that remains effective regardless of the source turning on or off. For example, when a capacitor behaves as an open circuit under steady-state conditions. This method ensures detailed understanding and calculations, as demonstrated in finding the voltage across a capacitor in different scenarios. Enhanced comprehension of circuit analysis with independent solutions for dynamic components.

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Efficient Technique for Circuits with Capacitors: Independent of Source State

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  1. RC Networks An alternate solution technique

  2. Alternate Equation • Independent of whether the source in the circuit turns on or off at t = to.

  3. Example

  4. Because a capacitor acts like an open circuit under steady state conditions t ≤ to t >> to vcinitial = vin = 3 V vcfinal = vin = 2 V The current flowing through the resistor in both cases is zero. Therefore, the voltage across the capacitor, vc = vin, from KVL (sum of voltages around a loop is equal to zero)

  5. Solution to vC(t)

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