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 2, Problem 2.12P
Electrons are in random in a fixed region in space. During any 1μs interval, the probability of finding an electron in a subregion of volume 10-15 m2 is 0.27. What volume charge density, appropriate for such time duration, should be assigned to that subregion?
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Consider an RC circuit with a 5 ohm resistor, a 0.05 faraday capacitor, and a constant 60 V battery. If the initial charge on the capacitor is zero, i.e. q(0) = 0 determines the charge on the capacitor at any time q(t).Strictly not using chatgpt or AI need proper explaination by hand
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Antennas Past papers
Sessional-II.pdf
Quaid-i-Azam University
Sessional-II, Spring 2021
(Antennas (EL-724)
50%
Date: 17-06-2021
NOTE: Due date for submission of Sessional-II is 17-06-2021 at 4:30 pm.
Question 1
Consider a linear wire antenna of finite length and radius a. The radius a of
the antenna is taken to be very small as compared to an operating wavelength
A, i.e., a << A. The electric current density vector J(r) of the antenna is
given by,
J(r) =ė, 16()()()
f(h's) =
sink(1/2 h)]
sin kl/2]
-
where h, and hy are dummy coordinates which form a three perpendicular
coordinate system and 5(-) is a Dirac delta function. The geometry of the
problem is given in Fig. 1. It should be noted that here axial unit vector è,
in spherical coordinates are given below,
=è, sine, coso, +ê, sin 0, sino, + è, cose,
Find the electric and magnetic fields in the near and far zone. Also find the
maximum directivity D-
←
а
Make a circuit in tinkerkat from the following: Truth table analysisA) Unsimplified function:From the truth table A, we can derive the unsimplified equationBoolean expression:F = (A'B'C'F') + (A'B'CF) + (A'BC'F') + (A'BCF) + (AB'C'F') + (AB'CF) + (ABC'F) + (ABCF)B) Non-simplified function:From truth table B, we can derive the unsimplified equationBoolean expression:F = (A'B'C'F') + (A'BC'F) + (A'BCF') + (AB'CF') + (ABC'F')Karnaugh MapsTO)\|00|01|11|10|--|------|------|------|------|00|1 |0|0|1|01|0|1|1|0|11|0|1|0|1|0|10|1|0|1|0|B)\|00|01|11|10|--|------|------|------|------|00|1|0|0|0|01|0|1|1|0|11|0|1|0|0|10|0|0|0|0|Simplified functions (using Karnaugh maps)TO)•Adjacent 1s are grouped together on the Karnaugh map.• The simplified function is: F = A’F + BF + CFB)• Adjacent 1s are grouped together on the Karnaugh map.• The simplified function is: F = A'C'F + BCF
Schematic design (simplified functions)TO)•NO door for A•AND gate for A' and F•AND gates for B and F, and C and F•OR gate for…
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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- Q2. 22 A four-pole, 415 V 50Hz induction motor supplies its rated power to a constant load. The rated speed of the motor is 1470 rpm. i) Draw the equivalent electrical circuit of the motor ii) Calculate the slip frequency and slip iii) If the supply voltage is changed to 207.5 V_25 Hz, calculate the motor speed, slip frequency, and slip. iv) Sketch torque-speed characteristics of the motor when the supply voltages are 415 V 50 Hz, 207.5 V_25 Hz and 415 V_60 Hz respectively; Compare the peak torques of the 415 V_50 Hz case and the 415 V_60 Hz case. b) A synchronous generator connects to an infinite bus. The terminal voltage VT and output current IA of the generator are shown in the phasor diagram in Figure Q2. This generator is required to double its real power output by increasing the governor's set point while maintaining the field current. With the aid of the phasor diagram, analyse the effect of the change of governor's set points on the internal generated voltage EA, the output…arrow_forwardThe figure below shows a 50Hz balanced star-star three-phase circuit with line loss. The load impedance Z = 40 + j15.08 Ω.(a)Calculate the line load impedance ZL.(b)Determine the average power:(i)Delivered by the three-phase source.(ii)Delivered to the three-phase load.(iii)Absorbed by the three-phase line.(c)Calculate the power efficiency of the system.arrow_forwardThree concentric spherical shells 7=1, 7=2, 7=3 m, respectively, have charge distriutions 2, 4 and 5 μC/m². (a) Calculate the flux through 7=1.5 m² and r = 2.5m. (b) Find D at 7=0.5m, r=2.5m, and r=3.5m .arrow_forward
- Verify the divergence theorem for the function A = r²a, + r sin 0 cos > a, over the surface of a quarter of a hemisphere defined by 0 < r < 3, 0 < & < π/2, 0 < 0 < π/2.arrow_forwardA charge distribution of the following form is set up in air: p₁ =10% e C/m³, where 7 is the radial distance of he spherical coordinates. Find the electric field intensity Ę everywhere.arrow_forwardQ1. a) b) A 200V DC series motor has armature resistance of 0.1 Q and field resistance of 0.15 Q. The motor runs at a speed of 600 rev/min when the shaft torque is 28 Nm. Friction and windage losses at this speed are 251.3 W. Calculate armature current, copper loss and efficiency. A DC shunt motor has an armature resistance of 0.22, a field resistance of 200 and is connected to a 200 V supply. i) Draw the equivalent electrical circuit of the motor ii) If the motor runs at 1500 rpm and takes a current of 11 A from the supply, calculate the output torque of the motor iii) If the supply voltage is kept constant but the load torque is changed so that the supply current decreased to 6 A, determine the motor speed and the output torque.arrow_forward
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