/*! 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} Q48P If throughout a particular regio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 16: Q48P (page 626)

If throughout a particular region of space the potential can be expressed as V=4xz+2y-5z, what are the vector components of the electric field at location (x,y,z)?

Short Answer

Expert verified

The vector component of electric field at locationx,y,z is -4z,2,4x-5.

Step by step solution

01

Write the given data from the question.

The potential, V=4xz+2y-5z.

02

Determine the formulas to calculate the vector components of the electric field at location x,y,z.

The expression to calculate the vector component of electrical field is given as follows.

E鈫�=ddx,ddy,ddzV ........ (i)

03

Calculate the vector components of the electric field at location x,y,z.

Calculate the electrical filed.

Substitute 4xz+2y-5zfor Vinto equation (i)

E鈫�=-ddx,ddy,ddz4xz+2y-5zE鈫�=-ddx4xz+2y-5z,ddy4xz+2y-5z,ddz4xz+2y-5zE鈫�=-4z,2,4x-5

Hence the vector component of electric field at location x,y,zis -4z,2,4x-5.

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

In Figure 16.58, what is the direction of the electric field? Is 鈭哣 = Vf 鈭扸i positive or negative?

An isolated parallel-plate capacitor of area \({A_1}\) with an air gap of length \({s_1}\) is charged up to a potential difference\(\Delta {V_1}\). A second parallel-plate capacitor, initially uncharged, has an area \({A_2}\) and a gap of length \({s_2}\)filled with plastic whose dielectric constant is\(K\). You connect a wire from the positive plate of the first capacitor to one of the second capacitor, and you connect another wire from the negative plate of the first capacitor to the other plate of the second capacitor. What is the final potential difference across the first capacitor?

A capacitor with a gap of 1mm has a potential difference from one plate to the other of36V . What is the magnitude of the electric field between the plates?

The diagram in Figure 16.74 shows three very large metal disks (seen edgewise), carrying charges as indicated. On each surface the charges are distributed approximately uniformly. Each disk has a very large radius R and a small thickness t. The distances between the disks are a and b, as shown; they also are small compared to R. Calculate V2-V1, and explain your calculation briefly.

Four voltmeters are connected to a circuit as shown in figure 16.90. As is usual with voltmeters, the reading on the voltmeter is positive if the negative lead (black wire, usually labled COM) is connected to a location at lower potential, and the positive lead(red) is connected to a location at higher potential. The circuit contains two devices whose identity is unknown and a rod (green) of length 9 cm made of conducting material. At a particular moment, the reading observed in the voltmeters are, voltmeter A: -1.6 V, voltmeter B: -6 V, voltmeter A: -3.5 V. (a) At this moment, what is the reading on voltmeter D, both magnitude and sign? (b) What are the magnitude and direction of the electric field inside the rod?
See all solutions

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Further Mechanics and Thermal Physics

Read Explanation

Radiation

Read Explanation

Electromagnetism

Read Explanation

Space 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.