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Published byGary Griffith Modified over 4 years ago

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**Lecture 10 - Step Response of Series and Parallel RLC Circuits**

E E 2415 Lecture 10 - Step Response of Series and Parallel RLC Circuits

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**Step Response DC Sources are present after switches change**

Transient parts have same form as in natural response Use Steady-state response and initial conditions to determine constants In steady-state with DC sources: inductors are as short circuits capacitors are as open circuits

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**Series RLC Step Response (1/5)**

Switch has been closed for a long time. Initial Conditions: Steady-state Conditions:

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**Series RLC Step Response (2/5)**

Since series RLC, start with capacitor voltage:

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**Series RLC Step Response (3/5)**

Now find current in capacitor as: Use initial conditions: then

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**Series RLC Step Response (4/5)**

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**Series RLC Step Response (5/5)**

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**Parallel RLC Step Response (1/6)**

Switch has been open for a long time. Initial Conditions: Steady-state Conditions:

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**Parallel RLC Step Response (2/6)**

From experience, we know this is a damped sinusoid. Therefore, start with that form.

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**Parallel RLC Step Response (3/6)**

Evaluate at initial conditions.

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**Parallel RLC Step Response (4/6)**

Evaluate at initial conditions.

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**Parallel RLC Step Response (5/6)**

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**Parallel RLC Step Response (6/6)**

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