ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008...
-
Upload
millicent-goodman -
Category
Documents
-
view
232 -
download
2
description
Transcript of ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008...
![Page 1: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/1.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
Lecture 3Circuit Laws,
Voltage & Current Dividers
![Page 2: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/2.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
KIRCHHOFF’S CURRENT LAW
• The net current entering a node is zero.
• Alternatively, the sum of the currents entering a node equals the sum of the currents leaving a node.
![Page 3: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/3.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 4: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/4.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
KIRCHHOFF’S VOLTAGE LAW
The algebraic sum of the voltages equals zero for any closed path (loop) in an electrical circuit.
![Page 5: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/5.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 6: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/6.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
Using KVL, KCL, and Ohm’s Law to Solve a Circuit
![Page 7: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/7.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
A 3 5V 15
yi
yxx iii 5.0
A 2xi
![Page 8: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/8.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
V 2010 xx iv
15 xs vV
V 35sV
A 2xi
![Page 9: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/9.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
Chapter 2 Resistive Circuits
1. Solve circuits (i.e., find currents and voltages of interest) by combining resistances in series and parallel.
2. Apply the voltage-division and current-division principles.
3. Solve circuits by the node-voltage technique.
![Page 10: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/10.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
4. Solve circuits by the mesh-current technique.
5. Find Thévenin and Norton equivalents and apply source transformations.
6. Apply the superposition principle.
7. Draw the circuit diagram and state the principles of operation for the Wheatstone bridge.
![Page 11: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/11.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
eqiRRRRiiRiRiRvvvv )( 321321321
![Page 12: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/12.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
eqRv
RRRv
Rv
Rv
Rviiii
321321321
111
![Page 13: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/13.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 14: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/14.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 15: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/15.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
163
62
61
21
31
611111
432
RRRReq
![Page 16: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/16.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
1
311RRtotal
![Page 17: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/17.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
21
63
61
62
61
311
eqR
0.2eqR
![Page 18: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/18.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
1.5
1028eqR
![Page 19: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/19.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
5102
101
1011
eqeq
RR
![Page 20: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/20.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 21: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/21.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 22: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/22.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 23: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/23.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 24: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/24.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 25: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/25.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
Circuit Analysis using Series/Parallel Equivalents
1. Begin by locating a combination of resistances that are in series or parallel. Often the place to start is farthest from the source.
2. Redraw the circuit with the equivalent resistance for the combination found in step 1.
![Page 26: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/26.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
3. Repeat steps 1 and 2 until the circuit is reduced as far as possible. Often (but not always) we end up with a single source and a single resistance.
4. Solve for the currents and voltages in the final equivalent circuit.
![Page 27: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/27.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 28: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/28.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 29: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/29.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
VAiRv
AVRv
i
AVRv
i
30310
16060
23060
111
3
23
2
22
![Page 30: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/30.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 31: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/31.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 32: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/32.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
Voltage Division
total321
111 v
RRRRiRv
total321
222 v
RRRRiRv
Of the total voltage, the fraction that appears across a given resistance in a series circuit is the ratio of the given resistance to the total series resistance.
![Page 33: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/33.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
![Page 34: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/34.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
Application of the Voltage-Division
Principle
V5.1
156000200010001000
1000
total4321
11
v
RRRRRv
![Page 35: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/35.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
totaltotaleqeq iRR
RRiRv
RRRR
R21
21
21
21
![Page 36: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/36.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
Current Division
total21
2
11 i
RRR
Rvi
total21
1
22 i
RRR
Rvi
For two resistances in parallel, the fraction of the total current flowing in a resistance is the ratio of the other resistance to the sum of the two resistances.
![Page 37: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/37.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
AiRR
Ri
ARR
vi
s
x
ss
417.025.16030
30
25.12060
100
32
23
1
Find i3
![Page 38: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/38.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
Find i1
![Page 39: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/39.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
Application of the Current-Division
Principle
A10152010
20
eq1
eq1
siRR
Ri
2060306030
32
32eq RR
RRR
![Page 40: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/40.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
Use the voltage division principle to find the unknown voltages
![Page 41: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/41.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
VVVvRRRR
Rv
VVVvRRRR
Rv
VVVvRRRR
Rv
VVVvRRRR
Rv
s
s
s
s
602
1201203015105
304
304
1201203015105
15
206
1201203015105
10
1012
1201203015105
5
43214
4321
33
4321
22
4321
11
![Page 42: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/42.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
92.2
51
71
1eqR
VVVvRRR
Rv
VVVvRRR
Rv
VVVvRRR
Rv
seq
seq
eq
seq
06.892.920420
492.234
89.592.92092.220
492.2392.2
05.692.920320
492.233
41
44
412
41
11
![Page 43: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/43.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
Use the current division principle to find the currents
![Page 44: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/44.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
AiRRR
RRi
AiRRR
Ri
t
t
23152010
30
13152010
15
321
213
321
31
![Page 45: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/45.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
5
101
101
1
eqR
AiRR
Ri
AiRR
Ri
AiRR
Ri
seq
eq
seq
eq
seq
eq
13105
5
13105
5
13105
5
13
12
11
![Page 46: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, 2008 Pearson Education, Inc. Lecture 3 Circuit Laws, Voltage.](https://reader035.fdocuments.in/reader035/viewer/2022081505/5a4d1b6a7f8b9ab0599b2f85/html5/thumbnails/46.jpg)
ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.
Resistor Cube