Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 15: Q7Q (page 616)

When calculating the electric field of an object with electric charge distributed approximately uniformly over its surface, what is the order in which you should do the following operations? (1) Check the direction and units. (2) Write an expression for the electric field due to one point-like piece of the object. (3) Divide up the object into small pieces of a shape whose field is known. (4) Sum the vector contributions of all the pieces.

Short Answer

Expert verified

Answer

The order of doing the following operation is (3)-(2)-(4)-(1).

Step by step solution

01

Significance of an electric charge

The electric charge is described as the physical property of a matter that helps to induce a force when placed inside a particular electromagnetic field. There are two types of the electric charges mainly positive and negative charges.

02

Determination of the right order of doing the operations

The first and the foremost step for calculating the electric field of an object is to divide the objects into small pieces whose electric field is known. The second step write the expression of the electric field of that object. The third step is adding the vector contributions of the pieces. The final step is to checking the units and directions in order to check the results.

Thus, the order of doing the following operation is (3)-(2)-(4)-(1).

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

Two rings of radius 5cmare 20cmapart and concentric with a common horizontal axis. The ring on the left carries a uniformly distributed charge of +35nC, and the ring on the right carries a uniformly distributed charge of -35nC. (a) What are the magnitude and direction of the electric field on the axis, halfway between the two rings? (b) If a charge of-5nCwere placed midway between the rings, what would be the magnitude and direction of the force exerted on this charge by the rings? (c) What are the magnitude and direction of the electric field midway between the rings if both rings carry a charge of +35nC?

Consider the algebraic expression for the electric field of a uniformly charged ring, at a location on the axis of the ring. Q is the charge on the entire ring, and ∆Qis the charge on one piece of the ring. ∆θis the angle subtended by one piece of the ring (or, alternatively, ∆ris the arc length of one piece). What is∆Q, expressed in terms of given constants and an integration variable? What are the integration limits?

Question: A hollow ball of radius , made of very thin glass, is rubbed all over with a silk cloth and acquires a negative charge of that is uniformly distributed all over its surface. Location A in Figure 15.64 is inside the sphere, from the surface. Location B in Figure 15.64 is outside the sphere, from the surface. There are no other charged objects nearby.


Which of the following statements about , the magnitude of the electric field due to the ball, are correct? Select all that apply. (a) At location A, is . (b) All of the charges on the surface of the sphere contribute to at location A. (c) A hydrogen atom at location A would polarize because it is close to the negative charges on the surface of the sphere. What is at location B?

Question: A thin hollow spherical glass shell of radius carries a uniformly distributed positive charge +6×10-9C, as shown in Figure 15.65. To the right of it is a horizontal permanent dipole with charges +3×10-11and -3×10-11separated by a distance (the dipole is shown greatly enlarged for clarity). The dipole is fixed in position and is not free to rotate. The distance from the center of the glass shell to the center of the dipole is 0.6 m.

(a) Calculate the net electric field at the center of the glass shell. (b) If the sphere were a solid metal ball with a charge , what would be the net electric field at its center? (c) Draw the approximate charge distribution in and/or on the metal sphere.

Graph the magnitude of the full expression for the field E of a rod along the midplane vs. r. Does Efall off monotonically(with distance)?
See all solutions

Recommended explanations on Physics Textbooks

Linear Momentum

Read Explanation

Energy Physics

Read Explanation

Fundamentals of Physics

Read Explanation

Rotational Dynamics

Read Explanation

Engineering Physics

Read Explanation

Electricity

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