Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
expand_more
expand_more
format_list_bulleted
Question
Chapter 6, Problem 6.37P
To determine
(a)
The location of the
To determine
(b)
The electric field
To determine
(c)
The relative permittivity
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A solid conducting sphere of radius R
carries a charge +Q.
A thick conducting shell is concentric with the sphere
and has an inner radius R2 and outer radius R3.
The shell carries a charge -Q.
The figure shows a cross section.
a) Where are the charges located? Add charge symbols to
the figure.
R1
R3
R2
b) Add a few electric field lines and equipotential lines to the figure. Please label the lines
clearly.
c) Draw a sketch of the potential as a function of distance from the center of the sphere. Please
label all interesting points on the graph.
(al:Determine E caused by the spherical cloud of electrons with a volume charge density of -
1.68 x 10 -18 for 0 10mm. Clearly
mention the surfaces, there differential components and write the equation properly by
doing all the steps.
(b): For the dielectric composition shown in the figure find out its total capacitance.
Question A capacitor with parallel plates, of area A and separation 2a, is connected to a potential difference AV. Then a conductive metal plate of area is introduced A/2 and thickness a up to the middle of the capacitor (red in the figure). Finally it is introduced an insulating material of dielectric constant k in the second half (blue in the figure), with equal area and thickness as conductive material. Find The capacity and energy accumulated when the capacitor is with the conductor.
What do you mean by c3 and c2? Are the capacitor with conductor and the other with air? What area and distance is used to calculate the capacitor with air and to calculate the one with the conductor?
Chapter 6 Solutions
Engineering Electromagnetics
Ch. 6 - Prob. 6.1PCh. 6 - Let S = 100 mm2. d= 3 mm, and er = 12 for a...Ch. 6 - Capacitors tend to be more expensive as their...Ch. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - A parallel-plane capacitor is made using two...Ch. 6 - For the capacitor of Problem 6.6, consider the...Ch. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - A coaxial cable has conductor dimensions of a =...
Ch. 6 - Prob. 6.11PCh. 6 - (a) Determine the capacitance of an isolated...Ch. 6 - With reference to Figure 6.5, let b=6m, h=15m, and...Ch. 6 - Two=16 copper conductor (1.29 mm diameter) are...Ch. 6 - Prob. 6.15PCh. 6 - Prob. 6.16PCh. 6 - Construct a curvilinear-square map for a coaxial...Ch. 6 - Prob. 6.18PCh. 6 - Construct a curvilinear- square map of the...Ch. 6 - Prob. 6.20PCh. 6 - The inner conductor of the transmission line shown...Ch. 6 - Prob. 6.22PCh. 6 - Prob. 6.23PCh. 6 - A potential field in free space is given in...Ch. 6 - A capacitor is formed from concentric spherical...Ch. 6 - Given the spherical symmetric field in free space,...Ch. 6 - Let V=z(x,y)=4e2xf(x)3y2 in a region of free space...Ch. 6 - Show that in a homogeneous medium of conductivity...Ch. 6 - What total charge must be located within a unit...Ch. 6 - Prob. 6.30PCh. 6 - For the parallel-plate capacitor shown in Figure...Ch. 6 - Prob. 6.32PCh. 6 - The functions V1 (p, , z) and V2(p, , z) both...Ch. 6 - Prob. 6.34PCh. 6 - Prob. 6.35PCh. 6 - Prob. 6.36PCh. 6 - Prob. 6.37PCh. 6 - Prob. 6.38PCh. 6 - Prob. 6.39PCh. 6 - Prob. 6.40PCh. 6 - Prob. 6.41PCh. 6 - Prob. 6.42PCh. 6 - Prob. 6.43PCh. 6 - Prob. 6.44PCh. 6 - Prob. 6.45PCh. 6 - By appropriate solution of Laplaces and Poissons...
Knowledge Booster
Similar questions
- A spherical capacitor consists of a conducting sphere of radius a on the inside and a sphere with a radius b of its inner wall as the outer conductor. The gap between them is filled with a dielectric of permeability ɛ. Determine the capacitance. aarrow_forward2.- A cylindrical capacitor of 1 m high and 1 m diameter, is previously empty between its two conducting elements.At the beginning, this cylindrical capacitor is connected to a 12 volt battery. Subsequently, it is disconnected from the battery and the vacuum between its conductive elements is filled with a dielectric material whose dielectric constant is 6. The radius of the central inner conductor element is 30 cm and the inner radius of the outer conductor element is 40 cm. a) What is the value of the capacitance and the charge before and after inserting the dielectric material? b) How much is the potential difference between its conducting elements before and after inserting the dielectric material? c) How much is the electric field before and after inserting the dielectric at 35 cm from the center of the capacitor? Important note: Use the approximation of Gauss's law for electric fields. You have to make the drawing.arrow_forwardA cubie dielectric slab with constant -4 with sides of length D is inserted a distance r into the space between the plates of a cubic parallel (conducting) plate capacitor with same dimension. Suppose that the capacitor is connected to a battery that maintains a constant potential difference E = 100 V between the plates. If the dielecetrie slab is inserted an additional distance 1 mm into the space between the plates, calculate the change in stored energy. (Take eo = 8.85 x 10-12 F/m.) 132.8 pJ 44.2 pJ 88.5 pJ 221.3 pJarrow_forward
- This problem is complete the question with proper dimension of rectangular plate. can u assumtion please Please solve max in 20-25 please the subparts A,B,C Im very needed a solution and send thank u A plate plate in a vacuum, has a rectangular area whose sides are 20 cm long. The distance between the two plates is 5 mm. So, A. Make a summary and calculate the value of the capacitance! B. If there is a dielectric material with dielectric constant k = 2 having dimensions of 20 cm x 10 cm x 5 mm is placed between the two plates, then sketch the trainer and calculate the current capacitance value? C. If there is a dielectric material with dielectric constant k = 4 , having dimensions of 20 cm x 10 cm x 2 mm is added to the condition of problem B) and is placed in the blank between the two plates, so that it sticks to one of the plates. So make a sketch of the sport and determine its current capacitance value?arrow_forwardTwo coaxial conducting cylinders of radius 4 cm and 6 cm have a length of 4.78m. The region between the cylinders contains a layer of dielectric from p = 4 to p = 6 with ER = 8. Find the capacitance in pF.arrow_forwardFigure shows two concentric and infinitely long dielectric cylindrical shells with dielectric constants & is given by ɛ, = ɛ,- while the outer shell is non-constant and is ɛ, = ɛ, -. 7. ɛ,. The dielectric constant of the inner shell is constant and An infinite and line charge with density p, is placed at the center and along the common axis of the shells. Find a) D everywhere b) E everywhere c) Volume charge density of bound charge in both dielectric layers. a E2 PL 13arrow_forward
- Two 1.20 m non-conductive wires form a right angle. A segment has +2.50 µC of charge, distributed evenly along its length; while the other segment has -2.50 µC of charge, distributed uniformly along its length, as illustrated in the figure. Find the magnitude and direction of the electric field produced by these wires at point P, which is 60.0 cm from each wire.arrow_forward3. The space between the plates of a parallel-plate capacitor is filled with two slabs of linear dielectric material, parallel to the plates. Each slab has thickness L, so that the total distance between the plates is 3L. Slab 1 has a dielectric constant of 2, and slab 2 has a dielectric constant of 2.5. The free charge density on the top plate is o and on the bottom plate is –o. a) Find the electric displacement D in each slab. 1 b) Find the electric field E in each slab. c) Find the polarization P in each slab. d) Find the location and amount of all bound charge. [6]arrow_forwardQ5: What is the values of (P.d)min & ( Vbr)min for a gas dielectric with constants A=14, B=362 and Y=0.04/torr.cmarrow_forward
- A conducting cylinder of radius 3.5 cm and length 5.6 cm has a total charge of 4.5 x10 ^ -9 C distributed uniformly on its surface area. Find the potential at (a) its surface and (b) 2.5 cm and (c) 5.0 cm from the center of the cylinder. I really need an idea huhu.?arrow_forward1 - For a very long conducting channel viewed sectionally in the figure below, find the potentials at the indicated points. Use the symmetry to reduce the number of unknowns. 100V OV 100V OVarrow_forwardQuèstion 4 Two conducting cylinders at p = 2 cm and p = 8 cm in free space are held at potentials of 60 mV and -30 mV, electric field at p=4 cm -1.0833ap -2.166ap -1.625ap O. -1.3ap A Moving to another question will save this response. ENG 28°C Juaio T.TI/TO USarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,