Given the potential field V = 100xz/(x 2 + 4) V in free space: (a) Find D

Question:

Given the potential field V = 100xz/(x² + 4) V in free space:

(a) Find D at the surface z = 0.

(b) Show that the z = 0 surface is an equipotential surface.

(c) Assume that the z = 0 surface is a conductor and find the total charge on that portion of the conductor defined by 0 < x < 2,−3 < y < 0.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Engineering Electromagnetics

ISBN: 978-0073380667

8th edition

Authors: William H. Hayt, John A.Buck

See More Books

Question Posted: Sep 08, 2018 01:24 PM

See More Questions

Given the potential field V = (A 4 + B 4 ) sin 4: (a) Show that 2 V = 0. (b) Select A and B so that V = 100 V and |E| = 500 V/m at P( = 1, = 22.5, z = 2).
The potential field V = 2x2yz y3z exists in a dielectric medium having = 20. (a) Does V satisfy Laplace's equation? (b) Calculate the total charge within the unit cube 0 < x, y, z < 1 m.
Show that in a homogeneous medium of conductivity , the potential field V satisfies Laplaces equation if any volume charge density present does not vary with time.
How do stakeholders impact the uncertainty in a project?
When Apple introduced a new version of the IPad many considerations go into setting the selling price. Discuss the importance of the following in settings the initial selling price of the IPad:...
What deficiency of the EOQ and safety stock models does MRP (materials requirements planning) overcome and how does MRP do this? LO1
Fixed overhead cost is a committed cost. State whether the following statements are true or false:
Robinson Corporation purchased all the outstanding common stock of Hoffman Plastics, Inc. on December 31, 2011. Just before the purchase, the condensed balance sheets of the two companies appeared as...
Consider the following information: Project Boom (50%) Recession (50%) A $20 -$10 B -$10 $20 C $30 $-30 D $50 $50 What is the expected value and variance of project A.
Viscous heat generation in a polymer melt rework the problem discussed in S10.4 for a molten polymer, whose viscosity can be adequately described by the power law model (see Chapter 8). Show that the...
Two parallel circular plates of radius a are located at z = 0 and z = d. The top plate (z = d) is raised to potential V 0 ; the bottom plate is grounded. Between the plates is a conducting material...
A coaxial transmission line has inner and outer conductor radii a and b. Between conductors (a < < b) lies a conductive medium whose conductivity is () = 0 /, where 0 is a constant. The inner...
Describe the unique features of OD that differentiate it from other change initiatives. (LO 3)
IV. Normal Distribution 9. IQ scores are said to be normally distributed with a mean of 100 and a standard deviation of 15. Label the normal curve below and then answer the questions that follow. a....
Manually determine the range, variance, and standard deviation of the set of numbers. Show the computations: a. 3, 8, 10, 14, 9, 10, 12, 21, 5, 13, 11, 10 b. 232, 212, 151, 325, 142, 132, 142, 236,...
Alex and Bess have been in partnership for many years. The partners, who share profits and losses on a 70:30 basis, respectively, wish to retire and have agreed to liquidate the business. Liquidation...
1 Frequency Domain Analysis 1. Given an input u(t) = cos(t) + 2 sin(5t) cos(5t) which is a sum of a lower frequency signal and a higher-frequency noise. Determine the feasible range of time constant...
A motor supplies a constant torque or twist of M = 120 lb ft to the drum. If the drum has a weight of 30 lb and a radius of gyration of ko = 0.8 ft, determine the speed of the 15-lb crate A after it...
A farmer has a rectangular piece of land for pigs. One of the sides of the rectangle is a wall. The other three sides have fencing. The fencing is 80 m in length. Find the maximum possible area of...
What are the typical record-at-a-time operations for accessing a file? Which of these depend on the current file record?
An FDM communication system uses DSB modulation to form the base band and FM modulation for transmission of the base band. Assume that there are eight channels and that all eight message signals have...
The process of stereophonic broadcasting was illustrated in Chapter 4. By comparing the noise power in the I(t) - r(t) channel to the noise power in the I(t) + r(t) channel, explain why stereophonic...
Develop a set of performance curves, similar to those shown in Figure 8.8, that illustrate the performance of a coherent demodulator as a function of the phase-error variance. Let the SNR be a...
Your company produces a health magazine. Its sales data for 1 - year subscriptions are as follows: Year of Operation Subscriptions Sold % Expired at Year End 2 0 2 0 $ 3 0 0 , 0 0 0 5 2 0 2 1 $ 6 4 7...
Problem 3 - 2 0 ( Static ) Calculate profitability and liquidity measures LO 3 - 3 , 3 - 4 , 3 - 6 Presented here are the comparative balance sheets of Hames Incorporated at December 3 1 , 2 0 2 3...
3 Required information [The following information applies to the questions displayed below) John and Sandy Ferguson got married eight years ago and have a seven-year-old daughter. Samantha. In 2020,...

Given the potential field V = 100xz/(x 2 + 4) V in free space: (a) Find D

Question:

Step by Step Answer:

a Use At z 0 we use this to find Dz 0 0 Ez 0 100 0 xx 2 4 a z Cm ...View the full answer

Engineering Electromagnetics

Students also viewed these Physics questions