/*! 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} Q14Q Coulomb鈥檚 law says that electr... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 15: Q14Q (page 616)

Coulomb鈥檚 law says that electric field falls off like 1/z2. How can Efor a uniformly charged disk depend on [1-z/R], or be independent of distance?

Short Answer

Expert verified

Electric field can be independent of distance but is inversely proportional to the area of the disk which has dimension L2.

Step by step solution

01

Given data

Electric field due to a uniformly charged disk is independent of distance.

02

Field due to a uniformly charged disk

The electric field on the axis of a uniformly charged disk of charge Q and Aarea extremely close to the disk is

E=Q2A蔚0 ......(i)

Here, localid="1668493266480" 蔚0is the permittivity of free space

03

Determination of the dependence of electric field on length dimension

The field given in equation (i) might be explicitly independent of distance but is inversely proportional to area which has dimension

A=L2

Thus the dimension remains correct.

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

If the magnitude of the electric field in air exceeds roughly3脳106N3, the air break down and a spark forms. For a two-disk capacitor of radius 51 cm with a gap of 2 mm, if the electric field inside is just high enough that a spark occurs, what is the strength of the fringe field just outside the center of the capacitor?

A student said, 鈥淭he electric field inside a uniformly charged sphere is always zero.鈥� Describe a situation where this is not true.

Explain qualitatively how it is possible for the electric field at locations near the center of a uniformly charged disk not to vary with distance away from the disk.

A rod with uniformly distributed charge 2脳10-8C is 50cm long. We need to calculate E at a distance of 1cm from the midpoint of the rod. Which equation for the electric field of a rod should we use? (1) Exact, (2) Approximate, (3) Either exact or approximate, (4) Neither鈥攚e have to do it numerically, (5) Neither鈥攚e need to integrate.

A disk of radius 16 cm has a total charge 4 脳 10鈭�6 C distributed uniformly all over the disk. (a) Using the exact equation, what is the electric field 1 mm from the center of the disk? (b) Using the same exact equation, find the electric field 3 mm from the center of the disk. (c) What is the percent difference between these two numbers?
See all solutions

Recommended explanations on Physics Textbooks

Linear Momentum

Read Explanation

Fields in Physics

Read Explanation

Fundamentals of Physics

Read Explanation

Atoms and Radioactivity

Read Explanation

Magnetism

Read Explanation

Force

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.