Loose Leaf For Engineering Electromagnetics
9th Edition
ISBN: 9781260472370
Author: John A. Buck, William H. Hayt
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 9, Problem 9.11P
Let the internal dimensions of a coaxial capacitor be a = 1.2 cm, b = 4 cm, and l = 40 cm. The homogeneous material inside the capacitor has the parameters e= 10-11 F/m. tt = 10-5 H/m, and t7 = 10-5 S/m. If the electric field intensity is E = (106 /p) cos 105 taP V/m, find (a) J; (b) the total conduction current Ic through the capacitor; (c) the total displacement current Id through the capacitor, (d) the ratio of the amplitude of Ia to that of IC, the quality factor of the capacitor.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Find the capacitance of a cylindrical capacitor with length of 45 cm, inner radius of 6 mm, and outer radius of 9 mm. The relative permittivity of the medium is 8.87
Two coaxial conducting cylinders are located at ρ = 2 cm and ρ = 4 cm in free space and have a length of 100 m. The region between the cylinders contains a layer of dielectric from ρ = 2 cm to ρ = 3.69 cm with εr = 2. The capacitance in nF is?
A parallel plate capacitor with 10 cm2 plates and 0.4 cm distance between two parallel plates contains a medium with Er=3.3 and sigma=4x10-5 (S/m). A potential difference of 100V is applied between the plates. Accordingly, find the power density in the medium.
Chapter 9 Solutions
Loose Leaf For Engineering Electromagnetics
Ch. 9 - Prob. 9.1PCh. 9 - Prob. 9.2PCh. 9 - Prob. 9.3PCh. 9 - A rectangular loop of wire containing a...Ch. 9 - The location of the sliding bar in Figure 9.5 is...Ch. 9 - Prob. 9.6PCh. 9 - The rails in Figure 9.6 each have a resistance of...Ch. 9 - A perfectly conducting filament is formed into a...Ch. 9 - A square filamentary loop of wire is 25 cm on a...Ch. 9 - (a) Show that the ratio of the amplitudes of the...
Ch. 9 - Let the internal dimensions of a coaxial capacitor...Ch. 9 - Prob. 9.12PCh. 9 - En free space it is known that E = E0/r sin...Ch. 9 - A voltage source V0, sin cot is connected between...Ch. 9 - Use each of Maxwells equations in point form to...Ch. 9 - Derive the continuity equation from Maxwells...Ch. 9 - The electric field intensity in the region...Ch. 9 - Prob. 9.18PCh. 9 - In Section 9.1. Faradays law was used to show that...Ch. 9 - Prob. 9.20PCh. 9 - (a) Show that under static field conditions; Eq....Ch. 9 - Prob. 9.22PCh. 9 - Prob. 9.23PCh. 9 - A vector potential is given as A = A0 cos(đ�œ”t =...Ch. 9 - Prob. 9.25PCh. 9 - Write Maxwells equations in point form in terms of...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A parallel plate capacitor contains two dielectrics A and B (interfaces parallel to E and D) with relative permittivity of 1.5 and 3.5 respectively. Dielectric B comprises one third of the capacitor's volume and the remaining volume is occupied by dielectric A. If the area of each conducting plate is 3 square meters and the separation between them is 2 mm, find the capacitancearrow_forwardA ring and a disk both are centered at (7, 6, 5) and are both lying on the plane y = 6. The ring has a radius of 7 m, while the disk has a radius of 9 m, so that the ring is around the disk. Determine the magnitude of the electric field in kV/m at point (7, -7, 5) if the ring has a total charge of -5 mC and the disk has a total charge of 7 mC. All coordinates are measured in meters.arrow_forwardThe equation for the voltage ?(?) across a capacitor at time ? is?(?)=1?(∫?(?)???0+?0)Where ?(?) is the current passing through the capacitor, and ?0 is the initial charge. Consider a capacitor with ?=1?? and ?0=0. If ?(?)=0.1(0.2+sin0.5?) A, find ?(?) for ?=0.5 sec.arrow_forward
- A ceramic capacitor has an effective plate area of 4 cm2 separated by 0.1 mm of ceramic of relative permittivity 100. Calculate the capacitance of the capacitor in picofarads. If the capacitor in part is given a charge of 1.2 µC what will be the p.d. between the plates?arrow_forwardConsider a crystal made of silicon atoms. All 14 electrons in each silicon atom participate in electronic polarizability. If the electronic polarization resonant frequency f0 of silicon is found to be 4.9x10^15[Hz], and electronic polarizability is 4.15x10^-40 Fm^2. 1. Obtain static dielectric constant εr(0) using the Clausius-Mossotti equation. 2. In measuring complex dielectric constant ε(ω) = ε’(ω) +jε’’(ω), you identified a polarization mechanism that has the maximum energy loss at frequency f = 1[GHz]. Using ε’(0) from question (1) and ε’’ = 4 at f = 1[GHz], plot ε’(ω) and ε’’(ω) as a function of f.arrow_forwardA point source q1= 20nC is located at S(1,4 ), determine some points near S ,where the magnitude of electric field E is equal to 30V/marrow_forward
- A parallel-plate capacitor consists of square plates of edge length ℓ that are separated by a distance d, where d << ℓ. A potential difference ΔV is maintained between the plates. A material of dielectric constant k fills half the space between the plates. The dielectric slab is withdrawn from the capacitor as shown. (a) Find the capacitance when the left edge of the dielectric is at a distance x from the center of the capacitor. (b) If the dielectric is removed at a constant speed υ, what is the current in the circuit as the dielectric is being withdrawn?arrow_forwardThere are point loads Q1= 4, Q2=9 and Q3=4 at points A(-7,0), O(0,0) and B (4,0) in the OXY plane, respectively. Write the value of the y-component of the electric field in terms of ke numerically at the point P(0, 13) on the-axis.arrow_forwardSuppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rb has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = αe-r/a0 + β/r + b0 where alpha (α), beta (β), a0 and b0 are constants. Find an expression for its capacitance. First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by: V subscript a b end subscript equals integral subscript r subscript a end subscript superscript r subscript b end superscript E d r equals negative integral subscript r subscript b end subscript superscript r subscript a end superscript E d r Calculating the antiderivative or indefinite integral , Vab = (-αa0e-r/a0 + β+ b0 )right enclose blank end enclose subscript space r subscript a end subscript superscript space r subscript b end superscript By definition, the…arrow_forward
- A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of λ = 30 μC/m. The outer cylinder has radius R2 = 25 cm and carries an equal but opposite charge distribution as the inner cylinder. a. Use Gauss’ Law to write an equation for the electric field at a distance R1 < r < R2 from the center of the cylinders. Write your answer in terms of λ, r, and e0. E= b. Write an equation for the energy density due to the electric field between the cylinders in terms of λ, r, and e0. u = c. Consider a thin cylindrical shell of thickness dr and radius R1 < r < R2 that is concentric with the cylindrical capacitor. Write an equation for the total energy per unit length contained in the shell in terms of λ, r, dr, and ε0. dU/l = d. Calculate the energy stored per unit length in the capacitor in units of joules per meter. U/l = e. Calculate the electric potential difference between…arrow_forwardA capacitive sensor consists of two parallel plates in air. the plates being (40 mm ) square and separated by a distance of(1mm) . A sheet of dielectric material of thickness (1mm ) and (40 mm) square can slide between the plates. The dielectric constant of the materialis (9) and that for air may be assumed as (1) . Determine the capacitance of the sensor when the sheet has been displaced so that only half of itis between the capacitor plates Knowing that the permittivity of free space (8 .85 pFim).arrow_forwardFor a solenoid (toroidal inductor), the inductance (L) could be increased because of:1, The number of turns of wires (N) is increased2, The cross-sectional area of the toroid (A) is decreased3, the length of the wire used to wrap the toroid (l) is decreased4, the relative permeability of the core material (r) is larger(single answer)1, 2, 43, 41, 21, 31, 3, 41, 2, 3arrow_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,
Capacitors Explained - The basics how capacitors work working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=X4EUwTwZ110;License: Standard YouTube License, CC-BY