Fundamentals Of Applied Electromagnetics
7th Edition
ISBN: 9781292082448
Author: Fawwaz T Ulaby Umberto Ravaioli
Publisher: Pearson Education Dorling Kindersley
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 6, Problem 14P
The plates of a parallel-plate capacitor have areas of 10 cm2 each and are separated by 2 cm. The capacitor is filled with a dielectric material with ϵ = 4ϵ0, and the voltage across it is given by V(t) = 30 cos 2π × 106t (V). Find the displacement current.
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
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 capacitance
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?
Chapter 6 Solutions
Fundamentals Of Applied Electromagnetics
Ch. 6.2 - Explain Faradays law and the function of Lenzs...Ch. 6.2 - Prob. 2CQCh. 6.2 - Prob. 3CQCh. 6.2 - For the loop shown in Fig. 6-3, what is Vemftr if...Ch. 6.2 - Suppose that the loop of Example 6-1 is replaced...Ch. 6.4 - Suppose that no friction is involved in sliding...Ch. 6.4 - Is the current flowing in the rod of Fig. 6-10 a...Ch. 6.4 - For the moving loop of Fig. 6-9, find I when the...Ch. 6.4 - Suppose that we turn the loop of Fig. 6-9 so that...Ch. 6.5 - Contrast the operation of an ac motor with that of...
Ch. 6.5 - Prob. 7CQCh. 6.5 - Prob. 8CQCh. 6.7 - A poor conductor is characterized by a...Ch. 6.8 - When conduction current flows through a material,...Ch. 6.8 - Verify that the integral form of Ampres law given...Ch. 6.10 - Explain how the charge continuity equation leads...Ch. 6.10 - How long is the relaxation time constant for...Ch. 6.10 - Determine (a) the relaxation time constant and (b)...Ch. 6.11 - Prob. 7ECh. 6 - The switch in the bottom loop of Fig. P6.1 is...Ch. 6 - The loop in Fig. P6.2 is in the xy plane and B =...Ch. 6 - A coil consists of 100 turns of wire wrapped...Ch. 6 - A stationary conducting loop with an internal...Ch. 6 - A circular-loop TV antenna with 0.02 m2 area is in...Ch. 6 - The square loop shown in Fig. P6.6 is coplanar...Ch. 6 - The rectangular conducting loop shown in Fig. P6.7...Ch. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - A 50 cm long metal rod rotates about the z axis at...Ch. 6 - The loop shown in P6.11 moves away from a wire...Ch. 6 - The electromagnetic generator shown in Fig. 6-12...Ch. 6 - The circular, conducting, disk shown in Fig. P6.13...Ch. 6 - The plates of a parallel-plate capacitor have...Ch. 6 - A coaxial capacitor of length l = 6 cm uses an...Ch. 6 - The parallel-plate capacitor shown in Fig. P6.16...Ch. 6 - In wet soil, characterized by = 102 (S/m), r = 1,...Ch. 6 - An electromagnetic wave propagating in seawater...Ch. 6 - At t = 0, charge density v0 was introduced into...Ch. 6 - If the current density in a conducting medium is...Ch. 6 - Prob. 21PCh. 6 - If we were to characterize how good a material is...Ch. 6 - The electric field of an electromagnetic wave...Ch. 6 - The magnetic field in a dielectric material with ...Ch. 6 - Given an electric field E=xE0sinaycos(tkz), where...Ch. 6 - The electric field radiated by a short dipole...Ch. 6 - A Hertzian dipole is a short conducting wire...Ch. 6 - In free space, the magnetic field is given by...Ch. 6 - The magnetic field in a given dielectric medium is...
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
- Between the plates of a capacitor with an area of A = 40 cm², and distance between the plates of d = 30 cm, three dielectric materials are placed, as shown in the following figure. what is the equivalent capacitance of the capacitor with the three dielectric materials with permittivities ε1= 0.20 F / m, ε2=0.30 F / m, ε3= 0.40 F / m ?arrow_forwardTwo parallel plates of area A=0.01 m^2 are separated by a distance d=5x10^-3 m. The region between these plates is filled with dielectric material of k= 3 and the plates are given equal but opposite charges of 2 micro coulombs. (a) What is the capacitance of this capacitor? (b) Find the potential difference between the plates?arrow_forwardA parallel plate capacitor has an area of 7.45 × 10−4?2and its plates are separated by a distance of 2.45 ?? across which a potential of 20 ? is applied. If a material with dielectric constant 6 is introduced between the plates, determine the capacitance, the charge stored on each plate, the dielectric displacement and the polarization.arrow_forward
- Two conducting spherical shells have radii a= 2 cm (inner), and b= 5 cm (external). The interior is a perfect dielectric for which εR = 10. The value of capacitance between the two plates equals toarrow_forwardA 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_forwardBetween the plates of a capacitor with an area of A = 40 cm², and distance between the plates of d = 30 cm, three dielectric materials are placed, as shown in the following figure. what is the equivalent capacitance of the capacitor with the three dielectric materials with permittivities ε1= 0.20 F / m, ε2=0.30 F / m, ε3= 0.40 F / m ? a) 3,7mF b) 6,7mF c) 9,7mF d)10mF e)none of the alternativesarrow_forward
- Determine the value of the capacitance, in picofarads, of a parallel-plate capacitor using a dielectric of relative permittivity 4.07 with dielectric thickness 33 mm and plate area 46 cm2. Use 8.854 × 10-12 F/m for the permittivity of free space.arrow_forwardThe two parallel plates of capacitor, spaced at 1 mm apart both of them carries charges of 80 nC. Calculate the capacitance value, if the sides of square plate is 5 cm?arrow_forwardDetermine value of capacitance of a spherical capacitor whose inner and outer radius are 2m and 4m respectively. Air medium.arrow_forward
- A parallel plate capacitor consists of two metal sheets of copper foil, each of area 1 m, separated by a 10.0 mm thick sheet of plastic having a relative permittivity of 2.25. What is the capacitance? (b) Calculate the capacitance per meter of length of air filled coaxial line with an inner conductor of 4 mm diameter and an outer conductor of inside diameter of 6 mm.arrow_forwardCalculate the capacitance between a 50V conducting wire and its image if the wire has a diameter of 10cm and the distance between the wire to a nearby conducting plane is 3cm in free space. *arrow_forwardA parallel-plate capacitor using a dielectric material having an Pr of 2.2 has a plate spacing of 2 mm (0.08 in.). If another material having a dielectric constant of 3.7 is used and the capacitance is to be unchanged, what must the new spacing be between the plates?arrow_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