Find study content
Learning Materials

Discover learning materials by subject, university or textbook.

Explanations

Textbooks

Exams
All Subjects

Anthropology

Archaeology

Architecture

Art and Design

Bengali

Biology

Business Studies

Greek

Chemistry

Chinese

Combined Science

Computer Science

Economics

Engineering

English

English Literature

Environmental Science

French

Geography

German

History

Hospitality and Tourism

Human Geography

Italian

Japanese

Law

Macroeconomics

Marketing

Math

Media Studies

Medicine

Microeconomics

Music

Nursing

Nutrition and Food Science

Physics

Polish

Politics

Psychology

Religious Studies

Sociology

Spanish

Sports Sciences

Translation

All Subjects

Biology

Business Studies

Chemistry

Combined Science

Computer Science

Economics

English

Environmental Science

Geography

History

Math

Physics

Psychology

Sociology

EXAM TYPES

GCSE

IGCSE

AS

A Level

International A Level

University Admissions Tests

GCSE SUBJECTS

GCSE 1

GCSE 2

GCSE 3

GCSE 4

GCSE 5

SOME-TEXT

IGCSE SUBJECTS

IGCSE 1

AS SUBJECTS

AS 1

A Level SUBJECTS

A Level 1

International A Level SUBJECTS

International A Level 1

University Admissions Tests SUBJECTS

University Admissions Tests 1
Features
Features

Discover all of these amazing features with a free account.

Flashcards

Vaia AI

Notes

Study Plans

Study Sets
What’s new?

Flashcards
Study your flashcards with three learning modes.

Study Sets
All of your learning materials stored in one place.

Notes
Create and edit notes or documents.

Study Plans
Organise your studies and prepare for exams.
Resources
Discover

All the hacks around your studies and career - in one place.

Find a job

Find a degree

Student Deals

Magazine

Mobile App
Featured

Magazine
Trusted advice for anyone who wants to ace their studies & career.

Job Board
The largest student job board with the most exciting opportunities.

Vaia Deals
Verified student deals from top brands.

Our App
Discover our mobile app to take your studies anywhere.

Go to App

Learning Materials

Features

Discover

Chapter 31: Q7. (page 901)

Show that the quantity $ϵ_{0} (d Φ_{e} / d t)$ has units of current.

Short Answer

Expert verified

The Displacement Current

or

$ε_{0} \frac{E A}{d t} u n i t is equal to current unit.$

Step by step solution

01

Given information:

$ε_{0} \frac{d ϕ_{e}}{d t} = ε_{0} \frac{E A}{d t}$

02

Simplify

$= \frac{F}{m} \frac{(\frac{V}{m}) m^{2}}{s}$

$= \frac{C}{V} (\frac{V}{s})$

As ,we know that Faraday has unit $F = \frac{Columb}{volt}$

V is the voltage and sec is the unit of time

$I = \frac{C}{s}$

$= \frac{Columb}{\sec}$

$= A (Amphere)$

so, is is clear that $ε_{0} \frac{E A}{d t}$ unit is equal to current unit.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Laboratory scientists have created the electric and magnetic fields shown in FIGURE EX31.3. These fields are also seen by scientists who zoom past in a rocket traveling in the x-direction at $1.0 x 10^{6} m / s$ . According to the rocket scientists, what angle does the electric field make with the axis of the rocket?

$F I G U R E P 31.39$ Shows the electric field inside a cylinder of radius localid="1649879543758" $R = 3.0 m m .$ . The field strength is increasing with time as localid="1649879549377" $E = 1.0 \times 10^{8} t^{2} V / m$ , where $t$ is in $s$ . The electric field outside the cylinder is always zero, and the field inside the cylinder was zero for localid="1649879554833" $t < 0$ .

localid="1649879566359" $a .$ Find an expression for the electric flux localid="1649879560575" $ϕ_{e}$ through the entire cylinder as a function of time.

localid="1649879572467" $b$ . Draw a picture showing the magnetic field lines inside and outside the cylinder. Be sure to include arrowheads showing the field’s direction.

localid="1649879587867" $c$ . Find an expression for the magnetic field strength as a function of time at a distance localid="1649879577475" $r < R$ from the center. Evaluate the magnetic field strength atlocalid="1649879582437" $r = 2.0 m m$ , localid="1649879592577" $t = 2.0 s$ .

d. Find an expression for the magnetic field strength as a function of time at a distancelocalid="1649879597467" $r > R$ from the center. Evaluate the magnetic field strength at localid="1649879602321" $r = 4.0 m m$ , localid="1649879607075" $t = 2.0 s$ .

FIGURE shows a vertically polarized radio wave of frequency $1.0 * 106 H z$ traveling into the page. The maximum electric field strength is $1000 V / m$ . What are

a. The maximum magnetic field strength?

b. The magnetic field strength and direction at a point where $E u = 1500 V / m$ , down?

The radar system at an airport broadcasts $11 GHz$ microwaves with $150 kW$ of power. An approaching airplane with a $31 m^{2}$ cross section is $30 Km$ away. Assume that the radar broadcasts uniformly in all directions and that the airplane scatters microwaves uniformly in all directions. What is the electric field strength of the microwave signal received back at the airport $200 μ s$ later?

For a science project, you would like to horizontally suspend an $8.5$ by $11$ inch sheet of black paper in a vertical beam of light whose dimensions exactly match the paper. If the mass of the sheet is $1.0 g$ , what light intensity will you need $?$

See all solutions

Recommended explanations on Physics Textbooks

Particle Model of Matter

Read Explanation

Linear Momentum

Read Explanation

Solid State Physics

Read Explanation

Further Mechanics and Thermal Physics

Read Explanation

Fields in Physics

Read Explanation

Waves 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.

Sign-up for free