Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 4, Problem 4.30P
To determine
The equation of the surface on which
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Handwritten Solution please
The 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
27
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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- 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
- Waveforms v1(t) and v2(t) are given by:v1(t) = −4 sin(6π ×10^4t +30◦) V,v2(t) = 2cos(6π ×10^4t −30◦) V.Does v2(t) lead or lag v1(t), and by what phase angle?arrow_forward7.1 Express the current waveform i(t) = -0.2 cos(6 × 10°1 +60°) mA in standard cosine form and then determine the following: (a) Its amplitude, frequency, and phase angle. (b) i(t) at t=0.1 ns.arrow_forward3. Consider the RC circuit with a constant voltage source shown in the diagram below. The values of the resistor, capacitor, and input voltage are R = 50, C = 10 µF, and V = 6V, respectively. Assume that there is initially no charge on the capacitor before the switch is closed. Vo ↑i(t) R w C When the switch closes at time t = 0, the current begins to flow as a function of time according to the equation i(t) = ioencarrow_forward
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