/*! 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. 6 An electron is released from res... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 26: Q. 6 (page 736)

An electron is released from rest atx=2m in the potential shown in Figure Q26.6. Does it move? If so, to the left or to the right? Explain.

Short Answer

Expert verified

The electron makes a Rightwardmovement.

Step by step solution

01

Given information and formula used    

Given :

Initial position of electron :x=2m

Graph -

Theory used :

Electric fieldis the negative slope (鈥渄erivative鈥� or 鈥済radient鈥�) of the potential.

E鈫�=-螖V螖x

Potential energy is related to electric potential by the charge. It only makes sense if you know the sign & magnitude of the test charge you want to use.

02

Determining the direction of the electron 

The electron makes a Rightwardmovement.

Because the electric field is the inverse of the electric potential's slope, the electric field will be nonzero and pointing to the left at x=2m.

As a result, the electron will experience a net force to the right and accelerate in that direction.

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

Consider a uniformly charged sphere of radius R and total cAlC charge Q. The electric field Eout outside the sphere(r鈮�R) is simply that of a point charge Q. In Chapter 24, we used Gauss's law to find that the electric field Ein inside the sphere(r鈮�R) is radially outward with field strength

Ein=14蟺系0QR3r

a. The electric potential Voutoutside the sphere is that of a point charge Q. Find an expression for the electric potentialVinat position r inside the sphere. As a reference, let Vin=Voutat the surface of the sphere.

b. What is the ratio Vcenter/Vsurface?

c. Graph V versus r for 0 鈮�r 鈮�3 R.

Figure EX26.9shows a graph of Vversusxin a region of space. The potential is independent of y and z. What is Exat

(a) x=-2cm, (b) x=0cm, and (c) x=2cm?

What are the charge on and the potential difference across each capacitor in FIGURE P26.57?

A typical cell has a membrane potential of -70mV, meaning that the potential inside the cell is 70mV less than the potential outside due to a layer of negative charge on the inner surface of the cell wall and a layer of positive charge on the outer surface. This effectively makes the cell wall a charged capacitor. Because a cell's diameter is much larger than the wall thickness, it is reasonable to ignore the curvature of the cell and think of it as a parallel-plate capacitor. How much energy is stored in the electric field of a 50渭mdiameter cell with a 7.0nmthick cell wall whose dielectric constant is 9.0?

High-frequency signals are often transmitted along a coaxial cable, such as the one shown in FIGURE P26.66. For example, the cable TV hookup coming into your home is a coaxial cable. The signal is carried on a wire of radius R1while the outer conductor of radius R2is grounded (i.e., at V=0V). An insulating material fills the space between them, and an insulating plastic coating goes around the outside.

a. Find an expression for the capacitance per meter of a coaxial cable. Assume that the insulating material between the cylinders is air.

b. Evaluate the capacitance per meter of a cable having R1=0.50mmand R2=3.0mm.
See all solutions

Recommended explanations on Physics Textbooks

Electricity

Read Explanation

Physical Quantities And Units

Read Explanation

Electricity and Magnetism

Read Explanation

Force

Read Explanation

Radiation

Read Explanation

Wave Optics

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.