/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 27 What is the resistance ofa. 2.0m... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 27: Q. 27 (page 762)

What is the resistance of

a. 2.0m-long gold wire that is 0.20mmin diameter?

b. A 10cmlong piece of carbon with a 1.0mm脳1.0mmsquare cross-section?

Short Answer

Expert verified

a. The resistance of a 2.0mlong gold wire that is 0.20mmin diameter is1.53惟.

b. The resistance of a long piece of carbon with a 1.0mm脳1.0mmsquare cross-section is3.5惟.

Step by step solution

01

Given Information (Part a) 

Gold wire length=2.0m

Diameter=0.20mm

02

Explanation (Part a)

The resistance in the first case, since the cross-section area is a circle, will be given by

R=蚁LA

Modify the expression,

=蚁4L蟺D2

Substitute the values,

R=2.4脳10-8惟m脳4脳2m蟺脳0.0002mm2

R=1.53惟

03

Final Answer (Part a) 

Hence, the resistance of a 2.0mlong gold wire that is 0.20mmin diameter is 1.53惟.

04

Given Information (Part a) 

Carbon Cross-section dimension=1.0mm脳1.0mm

05

Explanation (Part b)

The resistance in the second case, since the cross-section area is a square, will be given by

R=蚁LA

=蚁La2

Substitute the values,

R=3.5脳10-5惟m脳20.001mm2

=3.5惟

06

Final Answer (Part a) 

Hence, the resistance of a long piece of carbon with a 1.0mm脳1.0mmis 3.5惟.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

II You need to design a 1.0Afuse that "blows" if the current exceeds 1.0A. The fuse material in your stockroom melts at a current density of 500A/cm2. What diameter wire of this material will do the job?

The total amount of charge that has entered a wire at time tis given by the expressionQ=(20C)1-e-4(20s), where tis in seconds andt鈮�0.
a. Find an expression for the current in the wire at timet.
b. What is the maximum value of the current?
c. Graph Iversus tfor the interval 0鈮�t鈮�10s.

The current in a2.0mm脳2.0mmsquare aluminum wire is 2.5A. What are (a) the current density and (b) the electron drift speed?

1.0脳1016electrons flow through a cross section of a silver wire in 320渭s with a drift speed of 8.0脳10-4m/s. What is the diameter of the wire?

The batteries in FIGURE P27.68 are identical. Both resistors have equal currents. What is the resistance of the resistor on the right?
See all solutions

Recommended explanations on Physics Textbooks

Turning Points in Physics

Read Explanation

Solid State Physics

Read Explanation

Thermodynamics

Read Explanation

Oscillations

Read Explanation

Famous Physicists

Read Explanation

Scientific Method Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.