Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 2, Problem 2.16P
Within a region of free space, charge density given as
where P0 and a are constants. Find the total charge lying within (a) the sphere, (b) the cone, r≤a, 0≤θ≤0.1đ�œ‹. (c) the region. r≤a,0≤θ≤01đ�›‘,0≤0.2đ�›‘.
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I need an expert mathematical solution.
The radiation intensity of an aperture antenna, mounted on an infinite ground plane
with perpendicular to the aperture. is rotationally symmetric (not a function of 4),
and it is given by
U
sin (77 sin 0)
π sin
Find the approximate directivity (dimensionless and in dB) using
numerical integration. Use the DIRECTIVITY computer program at the end of this
chapter.
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Chapter 2 Solutions
Engineering Electromagnetics
Ch. 2 - Three point charges of equal magnitude q, that...Ch. 2 - Point charges of 1nC and -2 nC are located...Ch. 2 - Point charges of 50 nC each are located at...Ch. 2 - Eight identical point charges of Q C each are...Ch. 2 - A point charge of 3 nC is located at the point...Ch. 2 - Two point charges of equal magnitude q are...Ch. 2 - Point charges of equal magnitude but of opposite...Ch. 2 - A crude device for measuring charge consists of...Ch. 2 - A 100-nCpoint charges is located at A(-1,1,3)in...Ch. 2 - A configuration of point charges consists of a...
Ch. 2 - A charge Q0 located at the origin in free product...Ch. 2 - Electrons are in random in a fixed region in...Ch. 2 - A uniform volume charge density of 0.2 μC/m3 is...Ch. 2 - The electron beam in a certain cathode ray tube...Ch. 2 - A spherical volume having a 2-/μm radius contains...Ch. 2 - Within a region of free space, charge density...Ch. 2 - A length d of the charge lies on the Z-axis infree...Ch. 2 - (a) Find E in the plane z=0 that is produced by a...Ch. 2 - A line having charge density p0|C|C/m and of...Ch. 2 - A line charge of uniform charge density p0 C/m and...Ch. 2 - A charged filament forms a circle of radius a in...Ch. 2 - Prob. 2.22PCh. 2 - A disk of radius a in the xy plane carries surface...Ch. 2 - (a) Find the electric field on the z-axis produced...Ch. 2 - A disk of radius a in the xy plane carries surface...Ch. 2 - (a) Find the electric intensity on the z- axis...Ch. 2 - Given the electric field E=(4x2y)ax(2x+4y)ay, find...Ch. 2 - An electric dipole (introduced in Problem 2.7, and...Ch. 2 - If E=20e5y(cos5xaxsin5xay) ,find (a)...Ch. 2 - For fields that do not vary with z in cylindrical...
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- Need handwritten solution not using chatgptarrow_forwardHandwritten Solution pleasearrow_forwardThe E-field pattern of an antenna. independent of , varies as follows: E 0 0° ≤ 0≤ 45° 45°<≤ 90° 90° <8180° (a) What is the directivity of this antenna? Umax 7 why did we use this law Umax = 12 but we divided by 2? In the sent Solution = R 27arrow_forward
- The normalized far-zone field pattern of an antenna is given by (sin cos²) E = 0 00 and 0 ≤ ≤ π/2. 3/22 π elsewhere Find the directivity using (a) the exact expression In the sent soalation Use Prad=2+1 7/2 Pre= 2 + 1 Sco³odo + 5 siño de Where did the 2 Com from?arrow_forwardPen and paper solution please with explaination not using chatgptarrow_forwardhowarrow_forward
- A four pole generator having wave wound armature winding has 51 slots ,each slot containing 20 conductors,what will be the voltage generated in the machine when driven at 1500rpm assuming the flux per pole is 7mWb Don't use Artificial intelligencearrow_forwardNeed Handwritten solution Do not use chatgpt Or AIarrow_forwardI need a detailed solution to a problem. The far-zone electric field intensity (array factor) of an end-fire two-element array antenna, placed along the z-axis and radiating into free-space, is given by E=cos (cos - 1) Find the directivity using (a) Kraus' approximate formula (b) the DIRECTIVITY computer program at the end of this chapter Repeat Problem 2.19 when E = cos -jkr 0505π $[ (cos + 1) (a). Elmax = Cost (case-1)] | max" = 1 at 8-0°. 0.707 Emax = 0.707.(1) = cos [(cose,-1)] (cose-1) = ± 0,= {Cos' (2) = does not exist (105(0)= 90° = rad. Bir Do≈ 4T ar=2() = = Bar 4-1-273 = 1.049 dB T₂ a. Elmax = cos((cose +1)), 0.707 = cos (Close,+1)) = 1 at 6 = π Imax (Cose+1)=== G₁ = cos(-2) does not exist. Girar=2()=π. 4T \cos (0) + 90° + rad Do≈ = +=1.273=1.049dB IT 2arrow_forward
- I need an expert mathematical solution. The E-field pattern of an antenna. independent of , varies as follows: 0° ≤ 0≤ 45° E = 0 45° {1 90° 90° < 0 ≤ 180° (a) What is the directivity of this antenna? (b) What is the radiation resistance of the antenna at 200 m from it if the field is equal to 10 V/m (rms) for Ø = 0° at that distance and the terminal current is 5 A (rms)?arrow_forwardI need an expert mathematical solution. The normalized far-zone field pattern of an antenna is given by E = {® (sin cos)/ 0 Find the directivity using 0 ≤ 0 ≤ π and 0≤ 0≤ π/2. 3m2sds2, elsewherearrow_forwardI need an expert mathematical solution. The radiation intensity of an aperture antenna, mounted on an infinite ground plane with perpendicular to the aperture. is rotationally symmetric (not a function of 4), and it is given by sin (7 sin 0) U π sin Find the approximate directivity (dimensionless and in dB) usingarrow_forward
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