Solution Found!

CE A cylindrical wire is to be doubled in length, but it

Chapter 21, Problem 89GP

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 89GP

CE A cylindrical wire is to be doubled in length, but it is desired that its resistance remain the same,

(a) Must its radius be increased or decreased? Explain,

(b) By what factor must the radius be changed?

Questions & Answers

QUESTION:

Problem 89GP

CE A cylindrical wire is to be doubled in length, but it is desired that its resistance remain the same,

(a) Must its radius be increased or decreased? Explain,

(b) By what factor must the radius be changed?

ANSWER:

Solution 89GP

Step 1 of 2

Here we need to find whether the radius of the cylindrical wire should be increased or decreased when its length is doubled by keeping resistance constant.

  • The resistance of the wire in the initial case is given by,

                                        

Where  and  are the length and area of the wire, is resistivity of wire.

  • The resistance of the wire in the final case when the length is doubled is given by,

                                        

Where  and  are the length and area of the wire, is resistivity of wire.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back