DCCAsummer2010

# DCCAsummer2010 - 3 Analyze the following circuit 10 V 16 15...

This preview shows pages 1–4. Sign up to view the full content.

DCCA 1 DC CIRCUIT ANALYSIS - KIRCHOFF’S LAWS RESISTANCE IN SERIES - 10 V + _ R 3 = 5 R 2 = 5 1 = 10 R V V V 2 3 1 i V 1 = i R 1 V 2 = i R 2 V t = V 1 + V 2 + V 3 = i R 1 + i R 2 + i R 3 = i (R 1 + R 2 + R 3 ) = i R t V 3 = i R 3 R t = R 1 + R 2 + R 3 = 20 i t = V t / R t = 10 / 20 = 0.5 A KIRCHHOFF'S VOLTAGE LAW (KVL) The algebraic sum of the voltage drops around any closed loop is zero. KIRCHHOFF'S CURRENT LAW (KCL) The algebraic sum of the current entering and leaving any junction is zero. i i i 3 1 2 i 1 + i 2 + i 3 = 0

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

View Full Document
DCCA 2 RESISTANCES IN PARALLEL - 10 V + _ I t R = 20 R = 20 R = 10 i i i 1 2 3 i 1 R 1 = i 2 R 2 = i 3 R 3 = V = i t R t i t = i 1 + i 2 + i 3 = V / R t = V / R 1 + V / R 2 + V / R 3 = V (1 / R 1 + 1 / R 2 + 1 / R 3 ) 1/R = 1/R 1 + 1/R 2 + 1/R 3 R t = 1/(1/R 1 + 1/R 2 + 1/R 3 ) = 5 or I t = V / R = 10 / 5 = 2 A Series/Parallel Circuits + V1 10V R5 1k R1 1k R4 0.5k R3 0.5k R2 1k
DCCA

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 3 Analyze the following circuit: + 10 V 16 15 45 40 V V V 1 2 3 V 4 Ω Ω Ω Ω i T i 3 i 2 Solution: STEP 1. Reduce circuit to one resistance, R TOTAL + 10 V 16 40 60 i T V 1 i 3 i 2 Ω Ω Ω + 10 V 16 24 i T Ω Ω 40 II 60 = 1 / [(1/40) + (1/60)] = 24 Ω R t = 24 + 16 = 40 Ω DCCA 4 STEP 2. FIND THE TOTAL CURRENT, I TOTAL I T = 10 / 40 = 0.25 A STEP 3, 4, ETC. USE OHMS LAW TO FIND VOLTAGE DROPS V 1 = (0.25 A)(16 Ω ) = 4V V 2 = 10 V - 4 V = 6 V I 2 = 6 V / 40 Ω = 0.15 A I 3 = I T- I 2 = 0.25 - 0.15 = 0.10 A V 3 = (0.10 A) (45 Ω ) = 4.5 V V 4 = (0.10 A) (15 Ω ) = 1.5 V Voltage Division Current Division...
View Full Document

## This note was uploaded on 05/21/2011 for the course CGN 3710 taught by Professor Bloomquist during the Summer '10 term at University of Florida.

### Page1 / 4

DCCAsummer2010 - 3 Analyze the following circuit 10 V 16 15...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online