Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 3, Problem 3.5P
A volume charge distribution in free space is characterized by the density
where d is a distance along z, A is the area of a surface parallel to the xy plane, and q is a fixed charge quantity. The charge distribution exists everywhere (a) Find the electric field intensity. E. everywhere (b) What is the interpretation of q?
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Homework:
The open-loop transfer function of DC Motor is shown in equations (1),
where the rotational speed is considered as the output and the armature
voltage as the input, (J) is the moment of inertia of the rotor, (b) is the
viscous friction constant of the motor, (La) is the electrical inductance, (Ra)
is the electrical resistance and (V) is the voltage source, with a setpoint of
2000 rpm
e(s)
K₁
G(s)=(s) = (j.s+b)(La.s+ Ra) + K₁ × Kɩ
rad/sec,
sec
(1)
Parameters
Torque constant (Kt)
Value
Electromotive force constant (Kb)
Electrical resistance (Ra)
Viscous friction constant of the motor (b) 0.008 N.m/rad/s
Electrical inductance (La)
Moment of inertia of the rotor (J)
0.5 N.m/A
1.25 V/rad/s
502
0.2 H
0.1 kg.m²
Table 1: Parameters of the DC motor
Design Speed Control of DC Motor Using PID Controller, and then obtain
Overshoot, Rise time, Steady state error, and Settling time
A. Explain the mode of operation for complementry commutation circuit. Find the circuit turn
off time if the load resistances R1-R2-5 2 capacitance C-7.5 μF, V-100 volts.
ng
tu
I
**3- In the following transistor amplifier circuit, assuming that:**
**3-1- Calculate the operating point of the transistor (values of its continuous currents and voltages).**
**3-2- Draw the equivalent circuit of the amplifier for small signals.**
**3-3- Calculate the input resistance \( R_{in} \).**
Chapter 3 Solutions
Engineering Electromagnetics
Ch. 3 - Prob. 3.1PCh. 3 - An electric field in space is E=(5z2/C0)azV/m....Ch. 3 - Consider an electric dipole in free space,...Ch. 3 - An electric field in free space is E=(5z3/0)z V/m....Ch. 3 - A volume charge distribution in free space is...Ch. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Use Gauss, law in integral form to show that an...Ch. 3 - A sphere of radius a free space contains charge of...Ch. 3 - An infinitely long cylindrical dielectric of...
Ch. 3 - Consider a cylindrical charge distribution having...Ch. 3 - The sun radiates a tota1 power of about 3.86...Ch. 3 - Spherical surfaces at r = 2, 4, and 6 m carry...Ch. 3 - Prob. 3.14PCh. 3 - Volume charge density is located as follows; pv=0...Ch. 3 - An electric flux density is given by D=D0aP, where...Ch. 3 - In a region having spherical symmetry, volume...Ch. 3 - State whether the divergence of the following...Ch. 3 - A spherical surface of radius 3 mm is centered at...Ch. 3 - A radial electric field distribution in free space...Ch. 3 - In a region exhibiting spherical symmetry,...Ch. 3 - (a) A flux density field is given as F1 = 5 az....Ch. 3 - (a) A point charge Q lies at the origin. Show that...Ch. 3 - In a region in free space, electric flux density...Ch. 3 - Within the spherical shell, 3D= 5(r-3)3a,C/m2 .(a)...Ch. 3 - If we have a perfect gas of mass density Px...Ch. 3 - Consider a slab of material containing a volume...Ch. 3 - Repeat Problem 3.8, but use .D= pv and take an...Ch. 3 - Prob. 3.29PCh. 3 - (a) Use Maxwells first equation. �. D=Pv, to...Ch. 3 - Prob. 3.31P
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