3-Lesson_Notes_Lecture7_ee205 - 1 Electric Circuits II The...

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1 1 Electric Circuits II The Step response of a Parallel RLC Circuit Lecture #5
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2 2 The material to be covered in this lecture is as follows : o The step response of a parallel RLC circuit o The general solutions of the second order differential equation o The form of the step Response of A Parallel RLC circuit A fter finishing this lecture you should be able to: ¾ Understand The step response of a parallel RLC circuit ¾ Solve for circuit with second order differential equation ¾ Know The forms of the step Response of A Parallel RLC circuit
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3 3 The step response of a parallel RLC circuit. Circuit for Step Response of Parallel RLC There may be or may no be energy stored in the circuit when the DC current source is applied. Assume that the energy stored initially is zero for the step response By KCL LR C iii I ++= 8.3.1 or L vd v iC I R dt ++ = 8.3.2
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4 4 since the voltage across the inductor is L di vL dt = 8.3.3 then 2 2 L di dv L dt dt = 8.3.4 so 2 2 L L Ldi iC L I R dt dt ++ = 8.3.5 2 2 1 LL L d i i I RC LC LC dt
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3-Lesson_Notes_Lecture7_ee205 - 1 Electric Circuits II The...

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