💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Show that units of V/m and N/C for electric field strength are indeed equivalent.

$E=F_{e} / q$ and $E=\Delta V / d,$ so $F_{e} / q=\Delta V / d . F_{e}$ is measured in newtons, $q$ is measured in coulombs, $\Delta V$ is measured in volts, and $d$ is measured in meters. Therefore, newton/coulomb is equivalent to volt $/$ meter.

Physics 102 Electricity and Magnetism

Chapter 19

Electric Potential and Electric Field

Electric Charge and Electric Field

Gauss's Law

Electric Potential

University of Washington

Hope College

University of Sheffield

McMaster University

Lectures

11:53

In physics, a charge is a …

10:30

The electric force is a ph…

01:37

Show that the definition o…

01:29

Show that a volt per meter…

03:08

Verify that the units of a…

02:01

Use unit substitution to s…

01:54

What is the unit of electr…

02:30

Discuss how potential dif…

01:41

Verify the units obtained …

01:19

(I) Show that the electric…

By rewriting each unit in …

01:31

Show that $\mathbf{u}$ and…

01:50

show that $\mathbf{u}$ and…

02:33

A "free" electro…

00:32

Suppose a uniform electric…

03:26

In a uniform electric fiel…

02:51

(II) A uniform electric fi…

06:52

Use the charge distributio…

02:19

Show that $1 \mathrm{V} / …

01:09

How is the strength of an …

00:45

Show that the units of $E …

05:00

The electric field along t…

All right, so in this problem, we want to determine the equivalence of the two units for the electric field. Why's what meter and the otherwise new temple Cool. So we can starting from this one. Ah, we We know the window. One formula off the energy for So if we have Ah, we even have a charged particle in Electra. Few energy transferred to this to this ah particle will be equal Q time. Sweet, right? It's accused the charge and a visa potential potential difference. So the unit off the E is Joe. It's just energy on the unit for Q is C cool. Um on the unit for V is voltage. Then we can list this unit's relation. Joe. They quote Coolum times bondage ray so we can list V the voltage they call Joe. Do you ever see Divi cool on Ray and put it for the Joe? We also know the other famous expression, Joe equal. Ah kuo New tune Times meter. So this comes from the relation f equal. Sorry. Confirmed the relation equal half times x So we can rewrite this equation as new 10 times meter The rabbi see thereby cool and then we can We can pluck this ah, relation of this voltage into this relation. Okay, so then we see that. Ah, vote over meter equal Newton times meter. You always see and develop a meter. So this becomes Newton oversee. Over cooler, Okay.

View More Answers From This Book

Find Another Textbook

In physics, a charge is a physical property of matter that causes it to expe…

The electric force is a physical force exerted by electrically charged parti…

Show that the definition of electric field strength $\left(E=F_{\text {elect…

Show that a volt per meter is the same as a newton per coulomb.

Verify that the units of a volt-ampere are watts, as implied by the equation…

Use unit substitution to show that the units of BLv are volts.

What is the unit of electric potential difference in terms of $\mathrm{m}, \…

Discuss how potential difference and electric field strength are related. G…

Verify the units obtained for magnetic field strength $B$ in Example 24.1 (u…

(I) Show that the electric field of a single point charge (the below equatio…

By rewriting each unit in terms of kilograms, meters, seconds, and coulombs,…

Show that $\mathbf{u}$ and $\mathbf{v}$ are equivalent.

show that $\mathbf{u}$ and $\mathbf{v}$ are equivalent.

A "free" electron and "free" proton are placed in an ide…

Suppose a uniform electric field of magnitude $100.0 \mathrm{N} / \mathrm{C}…

In a uniform electric field, equipotential planes that differ by $5.00 \math…

(II) A uniform electric field $\vec{\mathbf{E}}=-4.20 \mathrm{N} / \mathrm{C…

Use the charge distribution and electric field calculated in Problem $22.65 …

Show that $1 \mathrm{V} / \mathrm{m}$ is the same as $1 \mathrm{N} / \mathrm…

How is the strength of an electric field indicated with electric field lines…

Show that the units of $E / B$ are the same as the units for velocity.

The electric field along the axis of a uniformly charged disk of radius R an…

02:17

Some stove tops are smooth ceramic for easy cleaning. If the ceramic is 0.60…

00:51

How long does it take a child on a swing to complete one swing if her center…

03:31

(a) By what factor must you change the distance between two point charges to…

01:12

Dolphins make sounds in air and water. What is the ratio of the wavelength o…

01:15

What length should an oboe have to produce a fundamental frequency of 110 Hz…

01:08

Starting with the definitions of momentum and kinetic energy, derive an equa…

01:38

Integrated ConceptsThe temperature near the center of the Sun is thought…

01:49

A novelty clock has a 0.0100 -kg mass object bouncing on a spring that has a…

02:18

Suppose you measure a standing person's blood pressure by placing the c…

01:40

A power transmission line is hung from metal towers with glass insulators ha…