Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
A wire has a resistance of 2 . It has been stretched to the length 3 times that of original, what will be the resistance of wire ?

A wire has a resistance of 2 . It has been stretched to the length 3 times that of original, what will be the resistance of wire ?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
Question
A wire has a resistance of 2 2. It has been stretched to the length 3 times that of original, what will be the resistance of wire ?
Transcribed Image Text:A wire has a resistance of 2 2. It has been stretched to the length 3 times that of original, what will be the resistance of wire ?
Expert Solution
Step 1

We have a wire which has,

Resistance of wire (R) = 2 Ω

Now the wire is stretched 3 times that of original length so,

 

We have been asked to determine the what will be resistance of wire when stretched.

 

We know that,

R = ς la

 

Where,

l = Length of the wire

 

Now we multiply and divide the RHS with l so we get,

 

R = ς la * ll

 

R = ς l2a * l

 

Now we know that a * l means area * length = Volume (V) so,

 

R = ς l2V

 

Now if we stretch the wire the volume and constant ς remains unchanged (Constant) so we can neglect that so our equation becomes,

 

R = l2

 

In other word we can say that,

 

R2R1 = l2l12

 

Where,

R1 = Resistance when length is l1 and,

R2 = Resistance when length is l2 

 

 

 

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Electric heating unit
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS