3-Lesson_Notes_Lecture_21 - Series and Parallel Connections...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
EE 204 Lecture 21 Series and Parallel Connections and Phase Relations in Sinusoidal Circuits Series and Parallel Impedance: For the series impedances 1 Z , 2 Z , … n Z 12 .... eq n Z ZZ Z = +++ eq Z n Z 2 Z 1 Z Figure 1 For the parallel impedances 1 Z , 2 Z , … n Z 11 1 1 .... eq n Z Z =++ + eq Z n Z 1 Z 2 Z Figure 2 Series and Parallel Admittance: For the series admittances 1 Y , 2 Y , … n Y 1 1 .... eq n YY Y Y = eq Y 1 Y 2 Y n Y Figure 3
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
For the parallel admittances 1 Y , 2 Y , … n Y 12 .... eq n YY Y Y = +++ eq Y n Y 2 Y 1 Y Figure 4 Example 1: Calculate the impedance to the right of “a-b” at the angular frequency 1000[ / ] rad s ω = 0.5mF 4 3mH 3 0.25mF a b Figure 5 Solution: Calculate the impedance of each element: 4 4 3 3 0.25 mF 3 1 4 1000 (0.25 10 ) jj j jC C ωω −− == = ×× 0.5 mF 3 2 1000 (0.5 10 ) j C 3 mH 33 10 (3 10 ) 3 jL j j × = Ω
Background image of page 2
eq Z 3 10 [ / ] ω = rad s Figure 6 4 j −Ω & 3 j (in series) 1 43 Z jj j = −+ = 32 j Ω− Ω 2 3 ( 2) 6 6 90 1.664 90 33.690 1.664 56.310 3 ( 2) 3 2 3.606 33.690 o oo o o Z ×− == = = + = +− eq Z 1 j Z = 2 1.66 56.31 o Z = ∠− Figure 7 1 Z j =− Ω & 2 1.664 56.310 o Z =− (in series) 312 ( ) (1.664 56.310 ) o ZZ Z j =+= −+ 3 ( ) (0.923 1.385) 0.923 2.385 Zj j j =− + = eq Z 3 0.923 2.385 = Figure 8 3 4 Z 3 3 4 4 (0.923 2.385) 4 (2.557 68.843 ) 10.228 68.843 4 4 (0.923 2.385) 4.923 2.385 5.470 25.848 eq o Z j Z j × = = ++− 1.870 68.843 25.848 1.870 42.995 1.368 1.275 o eq +
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
eq Z 1.368 1.275 j Figure 9 Resistance, Reactance, Conductance, Susceptance: In general, the impedance Z is complex, it can be written as: Z Rj X =+ Where: R = resistance (the real pat of Z ) X = reactance (imaginary part of Z ) ZR jX Figure 10 Also, the admittance Y is complex in general: YGj B Where: G = conductance (the real pat of Y ) B
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/16/2010 for the course EE ee204 taught by Professor Profosama during the Spring '09 term at King Fahd University of Petroleum & Minerals.

Page1 / 13

3-Lesson_Notes_Lecture_21 - Series and Parallel Connections...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online