Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356984
Author: ULABY
Publisher: PEARSON
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Chapter 1.3, Problem 4CQ
What do the electrical permittivity and magnetic permeability of a material account for?
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A 120 MVA, 19.5 kV generator has Xₛ = 1.5 pu and is connected to a transmission line by a transformer rated 150 MVA , 230 wye/18 delta kV Watts, and X = 0.1 pu. If the base to be used in the calculation is 100 MVA, 230 kV for the transmission line.
a. Find the per-unit values to be used for the transformer and generator reactances.
b. If the transformer delivers 80% of its rated capacity to the line at 220 kV, express the current in per unit.
c. Find also the current in the genrator in amperes.
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.
Chapter 1 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 1.3 - Prob. 1CQCh. 1.3 - What is Coulombs law? State its properties.Ch. 1.3 - What are the two important properties of electric...Ch. 1.3 - What do the electrical permittivity and magnetic...Ch. 1.3 - What are the three branches and associated...Ch. 1.4 - How can you tell if a wave is traveling in the...Ch. 1.4 - Prob. 7CQCh. 1.4 - Why does a negative value of 0 signify a phase...Ch. 1.4 - Consider the red wave shown in Fig. E1.1. What is...Ch. 1.4 - The wave shown in red in Fig. E1.2 is given by...
Ch. 1.4 - The electric field of a traveling electromagnetic...Ch. 1.4 - Prob. 4ECh. 1.4 - The red wave shown in Fig. E1.5 is given by...Ch. 1.4 - An electromagnetic wave is propagating in the z...Ch. 1.5 - What are the three fundamental properties of EM...Ch. 1.5 - What is the range of frequencies covered by the...Ch. 1.5 - Prob. 11CQCh. 1.6 - Express the following complex functions in polar...Ch. 1.6 - Show that 2j=(1+j). (See EM.)Ch. 1.7 - Prob. 12CQCh. 1.7 - How is the phasor technique used when the forcing...Ch. 1.7 - A series RL circuit is connected to a voltage...Ch. 1.7 - A phasor voltage is given by V=j5V. Find (t).Ch. 1 - A 2 kHz sound wave traveling in the x direction in...Ch. 1 - For the pressure wave described in Example 1-1,...Ch. 1 - A harmonic wave traveling along a string is...Ch. 1 - A wave traveling along a string is given by...Ch. 1 - Two waves, y1(t) and y2(t), have identical...Ch. 1 - The height of an ocean wave is described by the...Ch. 1 - A wave traveling along a string in the +x...Ch. 1 - Two waves on a string are given by the following...Ch. 1 - Give expressions for y(x, t) for a sinusoidal wave...Ch. 1 - An oscillator that generates a sinusoidal wave on...Ch. 1 - Prob. 11PCh. 1 - Given two waves characterized by...Ch. 1 - The voltage of an electromagnetic wave traveling...Ch. 1 - A certain electromagnetic wave traveling in...Ch. 1 - Prob. 15PCh. 1 - Prob. 16PCh. 1 - Complex numbers z1 and z2 are given z1=3j2z2=4+j3...Ch. 1 - Complex numbers z1 and z2 are given by...Ch. 1 - If z=2+j4, determine the following quantities in...Ch. 1 - Find complex numbers t=z1+z2 and s=z1z2, both in...Ch. 1 - Complex numbers z1 and z2 are given by...Ch. 1 - If z=3j5, find the value of ln(z).Ch. 1 - If z = 3 j4. find the value of ez.Ch. 1 - Prob. 24PCh. 1 - A voltage source given by s(t)=25cos(2103t30)(V)...Ch. 1 - Find the phasors of the following time functions:...Ch. 1 - Find the instantaneous time sinusoidal functions...Ch. 1 - A series RLC circuit is connected to a generator...Ch. 1 - The voltage source of the circuit shown in Fig....
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- Handwritten 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_forwardThe 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_forward
- Pen and paper solution please with explaination not using chatgptarrow_forwardhowarrow_forwardA 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_forward
- Need 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_forwardI 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_forward
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