/*! 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. 64 In Problems 63 through 66 you ar... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In Problems 63 through 66 you are given the equation(s) used to solve a problem. For each of these

a. Write a realistic problem for which this is the correct equation(s).

b. Finish the solution of the problem

(9.0×109Nm2/C2)2(2.0×10-7C/m)r=25000N/C

Short Answer

Expert verified

(a) Find the Electric field strength at point Pon the rod's axis at distance rfrom the center of an infinite charge rod, with the linear charge density is2×10-7C/min 25000N/C

(b) The solution is0.144m

Step by step solution

01

Given information and formula used

Given :

(9.0×109Nm2/C2)2(2.0×10-7C/m)r=25000N/C

Theory used :

TheElectric field of an infinite line charge with a uniform linear charge density can be obtained by a using Gauss' law. Considering a Gaussian surface in the form of a cylinder at radius r, the electric field has the same magnitude at every point of the cylinder and is directed outward.

02

Writing a realistic problem and finding the solution of the problem 

(a) Realistic problem :

On an infinite charge rod, let the linear charge density is 2×10-7C/m.

In 25000N/C, find the electric field strength at point Pon the rod's axis at distance rfrom the center.

(b) Solution :

(9.0×109Nm2/C2)2(2.0×10-7C/m)r=25000N/C⇒r=(9.0×109Nm2/C2)2(2.0×10-7C/m)25000N/C=0.144m

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 91Ó°ÊÓ!

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

A point charge Q¯is distance r from a dipole consisting of charges±qseparated by distance sT e dipole is initially oriented so that Q is in the plane bisecting the dipole. Immediately after the dipole is released, what are (a) the magnitude of the force and (b) the magnitude of the torque on the dipole? You can assume

A small segment of wire in FIGURE Q23.4contains 10nCof charge.

a. The segment is shrunk to one-third of its original length. What is the ratio of λf/λi, where λiandλf are the initial and final linear charge densities?

b. A proton is very far from the wire. What is the ratio Ff /Fi of the electric force on the proton after the segment is shrunk to the force before the segment was shrunk?

c. Suppose the original segment of wire is stretched to 10 times its original length. How much charge must be added to the wire to keep the linear charge density unchanged?

An electron traveling parallel to a uniform electric field increases its speed from 2.0×107m/sto4.0×107m/s over a distance of 1.2cm. What is the electric field strength?

An electric dipole is formed from two charges, ±q, spaced1.0cm apart. The dipole is at the origin, oriented along the y-axis. The electric field strength at the point x,y=(0cm,10cm)is 360N/C.

a. What is the charge q? Give your answer in nC.

b. What is the electric field strength at the pointx,y=10cm,0cm?

In a classical model of the hydrogen atom, the electron orbits the proton in a circular orbit of radius0.053nm. What is the orbital frequency? The proton is so much more massive than the electron that you can assume the proton is at rest.

See all solutions

Recommended explanations on Physics Textbooks

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.