Chapter 27 Solutions

Chapter 27 Solutions - wright (daw2557) Chapter 27 de...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: wright (daw2557) Chapter 27 de (14443) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Four resistors are connected as shown in the figure. 97 V S 1 c d a b 1 8 47 54 7 1 Find the resistance between points a and b . Correct answer: 12 . 5721 . Explanation: E B S 1 c d a b R 1 R 2 R 3 R 4 Let : R 1 = 18 , R 2 = 47 , R 3 = 54 , R 4 = 71 , and E = 97 V . Ohms law is V = I R . A good rule of thumb is to eliminate junc- tions connected by zero resistance. E B a d b c R 1 R 2 R 3 R 4 The series connection of R 2 and R 3 gives the equivalent resistance R 23 = R 2 + R 3 = 47 + 54 = 101 . The total resistance R ab between a and b can be obtained by calculating the resistance in the parallel combination of the resistors R 1 , R 4 , and R 23 ; i.e. , 1 R ab = 1 R 1 + 1 R 2 + R 3 + 1 R 4 = R 4 ( R 2 + R 3 ) + R 1 R 4 + R 1 ( R 2 + R 3 ) R 1 R 4 ( R 2 + R 3 ) R ab = R 1 R 4 ( R 2 + R 3 ) R 4 ( R 2 + R 3 ) + R 1 R 4 + R 1 ( R 2 + R 3 ) The denominator is R 4 ( R 2 + R 3 ) + R 1 R 4 + R 1 ( R 2 + R 3 ) = (71 )[47 + 54 ] + (18 ) (71 ) + (18 ) [47 + 54 ] = 10267 2 , so the equivalent resistance is R ab = (18 ) (71 ) [47 + 54 ] (10267 2 ) = 12 . 5721 ....
View Full Document

Page1 / 4

Chapter 27 Solutions - wright (daw2557) Chapter 27 de...

This preview shows document pages 1 - 2. Sign up to view the full document.

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