Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 9, Problem 9.16P
Derive the continuity equation from Maxwell’s equations.
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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 9 Solutions
Engineering Electromagnetics
Ch. 9 - Prob. 9.1PCh. 9 - Prob. 9.2PCh. 9 - Prob. 9.3PCh. 9 - A rectangular loop of wire containing a...Ch. 9 - The location of the sliding bar in Figure 9.5 is...Ch. 9 - Prob. 9.6PCh. 9 - The rails in Figure 9.6 each have a resistance of...Ch. 9 - A perfectly conducting filament is formed into a...Ch. 9 - A square filamentary loop of wire is 25 cm on a...Ch. 9 - (a) Show that the ratio of the amplitudes of the...
Ch. 9 - Let the internal dimensions of a coaxial capacitor...Ch. 9 - Prob. 9.12PCh. 9 - En free space it is known that E = E0/r sin...Ch. 9 - A voltage source V0, sin cot is connected between...Ch. 9 - Use each of Maxwells equations in point form to...Ch. 9 - Derive the continuity equation from Maxwells...Ch. 9 - The electric field intensity in the region...Ch. 9 - Prob. 9.18PCh. 9 - In Section 9.1. Faradays law was used to show that...Ch. 9 - Prob. 9.20PCh. 9 - (a) Show that under static field conditions; Eq....Ch. 9 - Prob. 9.22PCh. 9 - Prob. 9.23PCh. 9 - A vector potential is given as A = A0 cos(đ�œ”t =...Ch. 9 - Prob. 9.25PCh. 9 - Write Maxwells equations in point form in terms of...
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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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