Download presentation

Presentation is loading. Please wait.

Published byNora Todd Modified over 5 years ago

1
Lecture 2: Resistive Circuits Nilsson 2.5, 3.1-3.4, 3.7 ENG17 : Circuits I Spring 2015 1 April 2, 2015

2
Overview Dependent Sources Resistors in Series Resistors in Parallel Voltage Divider Current Divider Voltage / Current Division Δ-to-Y Equivalent Circuits 2

3
Finding v o 3 Strategy: If we find i o, we know v o If we find i Δ, we know the dependent source The current in 500V source is i Δ Use KCL and KVL to do find unknown currents

4
Finding v o 4 KVL: KCL: only 1 loop option Ohm’s Law: can only use node b or c

5
Overview Dependent Sources Resistors in Series Resistors in Parallel Voltage Divider Current Divider Voltage / Current Division Δ-to-Y Equivalent Circuits 5

6
Series Connected Elements Resistors in series carry the same current –KCL proves this Resistors in series can be summed –KVL proves this 6

7
Overview Dependent Sources Resistors in Series Resistors in Parallel Voltage Divider Current Divider Voltage / Current Division Δ-to-Y Equivalent Circuits 7

8
Parallel Connected Elements Resistors in parallel have same voltage across their terminals –KVL proves this Resistors in parallel can be summed inversely –KCL proves this –Conductances are summed 8

9
Overview Dependent Sources Resistors in Series Resistors in Parallel Voltage Divider Current Divider Voltage / Current Division Δ-to-Y Equivalent Circuits 9

10
Voltage Divider One voltage supply, multiple voltage levels 10

11
Load R L = load = 1+ circuit elements that draw power from circuit –May alter voltage across parallel element –But not if R L >> R 2 11

12
Example 12

13
Example Wheatstone Bridge –2 voltage dividers in parallel 13

14
Overview Dependent Sources Resistors in Series Resistors in Parallel Voltage Divider Current Divider Voltage / Current Division Δ-to-Y Equivalent Circuits 14

15
Current Divider 15 One current supply, multiple current levels

16
Example 16

17
Example 17 Similar analysis

18
Overview Dependent Sources Resistors in Series Resistors in Parallel Voltage Divider Current Divider Voltage / Current Division Δ-to-Y Equivalent Circuits 18

19
Voltage Division 19 Generalization of voltage divider circuit

20
Current Division 20 Generalization of current divider circuit

21
Example 21

22
Overview Dependent Sources Resistors in Series Resistors in Parallel Voltage Divider Current Divider Voltage / Current Division Δ-to-Y Equivalent Circuits 22

23
Unable to get R eq For example, Wheatstone bridge circuit (below) cannot be simplified with standard parallel/series rules Must use circuit transformation 23

24
Defining Delta/Pi and Y/T 24 Δ Y T π

25
Delta-to-Wye Circuit Transformation Equivalent resistance between nodes Note: resistor values are NOT THE SAME 25

26
Apply to Wheatstone Bridge 26

27
Recap Dependent Sources Resistors in Series Resistors in Parallel Voltage Divider Current Divider Voltage / Current Division Δ-to-Y Equivalent Circuits 27

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google