Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 4, Problem 4.32P
To determine
(a)
The energy stored in dipole field in the region
To determine
(b)
The reason for not letting an approach to be zero as a limit.
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Chapter 4 Solutions
Engineering Electromagnetics
Ch. 4 - Given E = Exax + Eyay + Ez3z V/m, where EX, Ey,...Ch. 4 - A positive point charge of magnitude q1 lies at...Ch. 4 - Given E=Epap+Ea+Ez+azV/m, where Ep, E and E2 are...Ch. 4 - An electric field in free space is given by...Ch. 4 - Consider the vector field G = (A/p) aa where A is...Ch. 4 - A electric field in free space is given as...Ch. 4 - Prob. 4.7PCh. 4 - Given E=-xax+yay,(a) find the work involved in...Ch. 4 - An electric field intensity in spherical...Ch. 4 - A sphere of radios a carries a surface density of...
Ch. 4 - At large distances from a dipole antenna (to be...Ch. 4 - Prob. 4.12PCh. 4 - Thee identical point charges of 4 pC each are...Ch. 4 - Given the electric field E=(y+1)ax+(x1)ay+2az find...Ch. 4 - Two uniform lines, 8 nC/m, are located at x=1, z=2...Ch. 4 - A spherically symmetric charge distribution in...Ch. 4 - Uniform surface charge densities of 6 and 2 nC/m2...Ch. 4 - Find the potential at the origin produced by a...Ch. 4 - Volume charge density is given as pv=poer/C/m3,...Ch. 4 - En a certain medium, the electric potential is...Ch. 4 - Prob. 4.21PCh. 4 - A Line charge of infinite length lies along the z...Ch. 4 - Prob. 4.23PCh. 4 - A certain spherically symmetric charge...Ch. 4 - Consider an electric field intensity in free space...Ch. 4 - Let us assume that we have a very thin, square,...Ch. 4 - By performing an appropriate Line integral from...Ch. 4 - Prob. 4.28PCh. 4 - A dipole having a moment P=3ax-5ay+10aznC.m is...Ch. 4 - Prob. 4.30PCh. 4 - A potential field in free space is expressed as...Ch. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - A sphere of radius a contains volume charge of...Ch. 4 - Four 0.8 nC point charge are located in free space...Ch. 4 - Surface charge of uniform density ps lies on a...
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- A 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_forwardwhat are exambles of low linear energy transfer (LET) and high (LET) radiation?arrow_forwardAn active dipole in open circuit has a voltage of 120v and in short circuit it has a current of 25A. Under what current does a 750W load absorb and under what condition does it present maximum efficiency.arrow_forward
- 1. Which dipole pair in the figure below has the lower energy, the parallel pair in (a) or the antiparallel pair in (b)? 2. If you double the distance between the dipole centers by what factor does each pair interaction change? Does it increase of decrease?arrow_forwardCO 6 Considering Bohr's atomic model of the hydrogen atom, where the electron traces a circular path around the nucleus with a radius of 0.529x10-10 m, calculate magnetic dipole moment of the electron. The electric constant is K = 8.99x109 Nm²/C2, while the charge and mass of of electron is e = -1.60x10-19 C and me = 9.11x10-31 kg respectively.arrow_forwardquestion in photo plzarrow_forward
- A dipole is a pair of point charges of equal magnitude and opposing sign that are .separated by a distance True Falsearrow_forwardElectromagnetic field theoryarrow_forwardA 1-m long dipole antenna is driven by a 150 MHz source having a source resistance of 50 ohms and a voltage of 100 V. If the ohmic resistance of the antennas is given by RL = 0.625 ohms, find the:(a) Current going into the antenna (Iant)(b) Power dissipated by the antenna(c) Power radiated by the antenna(d) Radiation efficiency of the antennaarrow_forward
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