T07Example

T07Example - Example 1(From P5-7 Circuits Devices and...

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Unformatted text preview: Example 1: (From P5-7, Circuits, Devices and Systems by Smith and Dorf) Given the circuit of Fig. 1, determine the impedance presented to: (a) A direct current i = I = 20mA (b) A sinusoidal current i = )mA 60 cos(5000t 2 20 ° + Answers: (a) For DC, frequency = 0 ϖ = 0. ∞ = = ⇒ C L Z Z , The circuit under DC becomes So, Ω = k Z total 3 (b) i = )mA 60 cos(5000t 2 20 ° + ϖ = 5000 s = 5000 j L=1H R=3k Ω C=0.25 μ F V +- i V C +- Fig. 1 R=3k Ω V +- i ( 29 ( 29 [ ] [ ] CL CR j L j R L j R C j L j R j Z sL R sC sL R sC sL R Z Z Z s Z total C L R total 2 1 1 1 ) ( 1 1 // ) ( ϖ ϖ ϖ ϖ ϖ ϖ ϖ- + + = + + + = + + + = + + = + =- [ ] ( 29 Ω ° ∠ = °- ∠ ° ∠ = +- + = × × ×- × × × × + × × + =- + + = + + + =-- 5 . 95 02 . 904 5 . 35 45 . 6 59 95 . 5830 75 . 3 25 . 5 5000 3000 1 10 25 . 5000 3000 10 25 . 5000 1 1 5000 3000 1 1 ) ( 6 2 6 2 j j j j CL CR j L j R L j R C j L j R j Z total ϖ ϖ ϖ ϖ ϖ ϖ ϖ C j Z L j Z R Z C L R ϖ ϖ 1 , , = = = Example 2: (From P4.30, Introduction to Electrical Engineering by Irwin)Example 2: (From P4....
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This note was uploaded on 10/28/2011 for the course ELEC 101 taught by Professor Chan during the Spring '09 term at HKUST.

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T07Example - Example 1(From P5-7 Circuits Devices and...

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