20-SOC II-Parallel RLC & General RLC

20-SOC II-Parallel RLC & General RLC - Parallel RLC...

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Parallel RLC General RLC oundary Condition Boundary Condition Determination © Fred Terry all, 2008 Fall, 2008 1
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Parallel RLC • Find Governing Differential Eqn. + Find Natural Response • Find Forced Response otal soln=nat+forced i o (t) C R L v Total soln=nat+forced • Find Initial (Boundary) Conditions - • Match total solution to Initial Conditions 2
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Parallel RLC: Diff Eqn + i o (t) C R L v - 3
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Parallel RLC: Natural Response + i o (t) C R L v - 5
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Parallel RLC: Forced Response (Step) +Complete Soln + i o u(t) C R L v - 6
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Parallel RLC: Match Initial Conditions + i o u(t) C R L v - 7
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Parallel RLC: Match Initial Conditions + i o u(t) C R L v - 8
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General RLC Example 1 • Find Governing Differential Eqn. Find Natural Response • Find Forced Response otal soln=nat+forced i o (t) C R 2 L Total soln=nat+forced • Find Initial (Boundary) Conditions R 1 • Match total solution to Initial Conditions 9
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General RLC Example 1 Find Diff Eqn KCL/KVL Approach L i o (t) C R 2 R 1 10
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) R L i o (t) C 2 R 1 11
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Step Response Example
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This note was uploaded on 01/31/2011 for the course EECS 215 taught by Professor Phillips during the Spring '08 term at University of Michigan.

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20-SOC II-Parallel RLC & General RLC - Parallel RLC...

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