Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Question
Chapter 4, Problem 4.38P
(a)
To determine
To prove: The differential phasor form of Gauss’s law.
(b)
To determine
To prove: The differential phasor form of Ampere’s circuital law.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
* Given the poles pattern shown below, find ?n, ?p, %?? and ?s
Explain the phasor representation.
QUESTION: Obtain Poisson’s equation from Gauss’s Law
.
SUBJECT: ELECTROMAGNETIC FIELDS THEORY
Chapter 4 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 4 - How long does it take for charge density to drop...Ch. 4 - At a particular point in a slab of silver, a...Ch. 4 - A current density is given by J=e.01taA/m2. Find...Ch. 4 - At t=0s, 60.0C is evenly distributed throughout a...Ch. 4 - A propagating electric field is given by...Ch. 4 - A 10.0-MHz magnetic field travels in a fluid for...Ch. 4 - Modify the simple wave program in MATLAB 4.1 to...Ch. 4 - Modify the traveling wave program in MATLAB 4.2 to...Ch. 4 - Prob. 4.9PCh. 4 - A bar magnet is dropped through a conductive ring....
Ch. 4 - Considering Figure 4.7, suppose the area of a...Ch. 4 - Sometimes a transformer is used as an impedance...Ch. 4 - Prob. 4.13PCh. 4 - The mean length around a nickel core of a...Ch. 4 - A triangular wire loop has its vertices at the...Ch. 4 - Referring to Figure 4.23, suppose a conductive bar...Ch. 4 - Suppose we have a conductive bar moving along a...Ch. 4 - The radius r of a perfectly conducting metal loop...Ch. 4 - Rederive Vemf for the rectangular loop of Figure...Ch. 4 - In Figure 4.16, replace the rectangular loop with...Ch. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - A Faraday disk generator is similar to the...Ch. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Suppose a vector field is given by A=2cosaz Verify...Ch. 4 - A pair of 60cm2 area plates are separated by a...Ch. 4 - Plot the loss tangent of seawater ( =4S/m and r=81...Ch. 4 - A 1.0-m-long coaxial cable of inner conductor...Ch. 4 - Suppose in free space that E(z,t)=5.0e2ztaxV/m. Is...Ch. 4 - An electric field propagating in a lossless...Ch. 4 - A magnetic field propagating in free space is...Ch. 4 - Find the instantaneous expression for E for the...Ch. 4 - Given, at some point distant from a source at the...Ch. 4 - In a lossless, nonmagnetic media, the magnetic...Ch. 4 - Suppose, in a nonmagnetic medium of relative...Ch. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Find E(z,t) in Problem 4.32 using phasors.Ch. 4 - Prob. 4.41PCh. 4 - Find H(y,t) in Problem 4.36 using phasors.Ch. 4 - In MATLAB 4.4, a polar plot of the phasor...
Knowledge Booster
Similar questions
- How can you use a vector network analyser to measure frequency when the characteristic impedance is 125 ohms? What would be the new characteristic impedance?arrow_forwardDetermine the intrinsic impedance of the free space. Show detailed calculation please.arrow_forwarda) A lightning strikes a 30-m unshielded over-head transmission line tower which has the following parameters: Surge impedance of the tower = 100 12 Surge impedance of lightning channel at tower top = 500 12 Tower-footing resistance = 10 12 Tower height = 30 m Cross-arm height = 27 m The lightning strike current is assumed to be a constant 30 kA for a duration of 20 us. The traveling wave propagation speed in the tower is 1.2 x 108 m/s. i) Determine the voltage reflection coefficients at tower top and tower foot. (ii) Determine the time of travel from tower top to tower foot. (iii) Determine the time of travel from cross arm to tower foot. (iv) Draw the voltage lattice diagram with proper labels of the time. (v) Ignoring the phase voltage, determine the insulator voltage after 2 us. The insulator voltage approaches a constant value after 2 us. If the basic impulse insulation level (BIL) of the insulator for phase conductor is 150 kV, evaluate the condition of the insulator and conclude…arrow_forward
- In the transmission line below, Z0=50 ohm operating frequency is 100MHz and wave speed is given as v=10^8 m/s. If d=46cm and l=14cm are chosen to avoid any back reflection in the transmission line, the load impedance ZL=?arrow_forwardSketch the phasor diagram showing ?s , ?R,??R, ?c and Iarrow_forwardDetermine the inductance per unit length of a coaxial cable with an inner radius a andouter radius barrow_forward
- Calculate the velocity factor of a coaxial cable used as atransmission line, with the characteristic impedance of 30 ohms,capacitance of 20pF/m and a 80uH/m inductance.arrow_forwardi. Sketch the pole-zero diagram and specify the ROC for H(z). ii. Determine if the system is stable or not?arrow_forwardd) Determine the phasors ?L ，Vr and ?c e) Sketch the phasor diagram showing ?s, ?r， ?r, ?c and ?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning