EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6, Problem 16P
The parallel-plate capacitor shown in Fig. P6.16 is filled with a lossy dielectric material of relative permittivity ϵr and conductivity σ. The separation between the plates is d and each plate is of area A. The capacitor is connected to a time-varying voltage source V(t).
- (a) Obtain an expression for Ic, the conduction current flowing between the plates inside the capacitor, in terms of the given quantities.
Figure P6.16 Parallel-plate capacitor containing a lossy dielectric material (Problem 6.16).
(b) Obtain an expression for Id, the displacement current flowing inside the capacitor.
(c) Based on your expressions for parts (a) and (b), give an equivalent-circuit representation for the capacitor.
(d) Evaluate the values of the circuit elements for A = 4 cm2, d = 0.5 cm, ϵr = 4, σ = 2.5 (S/m), and V (t) = 10 cos(3π × 103t) (V).
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Please answer ASAP for like..
Please Asap..
What is 4&5
Find / Derive the equation for the
capacitance of a spherical capacitor,
consisting a spherical conducting shell
of radius "b" and charge - Q concentric
with a smaller conducting sphere of
radius "a" and charge Q. Draw the
figure.
Chapter 6 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
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
- The current shown below is applied to a 0.25??capacitor. The initial voltage on the capacitor is zero.a) Find the charge on the capacitor at ?=15??.b) Find the voltage on the capacitor at ?=30??c) How much energy is stored in the capacitor by this current?arrow_forwardDesign a capacitor with two parallel metal plates of Imm thick dielectric having a capacitance of 100uF. (a) Determine the related design parameters. (b) Suggest and describe a product that may use this capacitor.arrow_forward6.33 Derive the equivalent circuit for a parallel connec- tion of ideal capacitors. Assume that the initial volt- age across the paralleled capacitors is v(tg). (Hint: Sum the currents into the string of capacitors, rec- ognizing that the parallel connection forces the voltage across each capacitor to be the same.)arrow_forward
- 8. The current through a capacitor is given by ic(1) = 0.1-{e00 }. Determine: -1/0.01 (a) The voltage v.(1) across the capacitor. (b) The capacitor energy and power.arrow_forwardFind the capacitance (in pF) of parallel-plate capacitor containing two dielectrics with ert= 3 and er2 - 4.5. each comprising one-half the volume. The area of the plates is 20 cm2 and the distance between them is 1 cm. O 7.30 O 4.43 O .81 O 6.64arrow_forwardWhat current flows through an ideal capacitor if the voltage across the capacitor is constant with time? To what circuit element is an ideal capacitor equivalent in circuits for which the currents and voltages are constant with time?arrow_forward
- 2. A parallel plate capacitor with a plate area of 0.13 square meters separated by 1 mm is charged to 9 Volts by a battery, which is then disconnected. The plate separation is then increased to 40 mm.A. Using the expression for the capacitance of a parallel plate capacitor, what do you expect the new potential difference across the plates to be after the increase?B. Suppose you measure the potential difference across the plates after the separation and find it to be 30 V (this should be very different from what you found in part A). This unexpected result can be explained by the effects of “stray capacitance” with nearby objects. Assuming that the stray capacitance can be modeled as a capacitor connected in parallel with the parallel plate capacitor, find the value of this stray capacitance.arrow_forwardWhen the capacitor is charged current flows on either side of the capacitor. Do electrons cross the gap to allow the current on the other side of the circuit?(b) Is charging and discharging time of capacitor equal in a theoretical RC circuit?Plase explain your answer by using relating formula.arrow_forward8. The current through a capacitor is given by iç(1) = 0.1-{e*}. Determine: (a) The voltage v. (1) across the capacitor. (b) The capacitor energy and power.arrow_forward
- In the definition given below, mark the most appropriate option that will come to the space. When capacitors are examined in terms of DC ................................. circuit is accepted. A-Closed B-Long C-All D-Short E-Openarrow_forwardAt a potential of 7000 V, a simple parallel-plate capacitor will be built to store charge. The capacitor has a separation distance of 0.21 mm between plates and a plate area of 0.030m2.The dielectric constant of a material with a dielectric constant of 6.5 is positioned.in the space between the plates Compute the capacitance of the capacitor and compute the magnitude of the charge stored on each plate.Then,If the capacitance in above has to be increased, choose one acceptable dielectric material from Table 2 below to use between the plates.Justify your mathematical decision.arrow_forwarda 6uF capacitor with an initial potential difference of 17V is discharged through a resistor when a switch between is closed at t = 0. Att 2s, the potential difference = across the capacitor is 4v. what is the resistance of the resistor kohms (1kohms = 10^3ohm)?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:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering 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,
Electric Charge and Electric Fields; Author: Professor Dave Explains;https://www.youtube.com/watch?v=VFbyDCG_j18;License: Standard Youtube License