Fundamentals of Electromagnetics with Engineering Applications
Fundamentals of Electromagnetics with Engineering Applications
5th Edition
ISBN: 9780471263555
Author: Stuart M. Wentworth
Publisher: John Wiley & Sons
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Chapter 2, Problem 2.62P
To determine

The electric field intensity E2 for second medium.

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Q2. For the transformer shown in Fig. 1. A. Plot the winding connection for the transformer and justify your answer. (4M) B. If the transformer is adopted in 12 pulse diode rectifier, where two-series connected bridge rectifiers are used to supply a highly inductive load with 100 A. (i) Select a suitable turns ratio for the transformer (ii) Plot the line current of each winding ( secondary + primary) showing the current magnitude at each interval (iii) Use Fourier Page 1 of 3 analysis to obtain the Fourier series of all line currents then calculate the THD of the input current. (8=0° (16M) (Y) = 30° Fig. 1 P. I v I
Q2. For the transformer shown in Fig.1, A. Find the phase shift between the primary and star-connected secondary. B. If the transformer is adopted in a 12-pulse diode rectifier, where a two-series connected bridge rectifier is connected in series and supplies a highly inductive load (i) Select a suitable turns ratio for the transformer (ii) Plot the line current of each winding (secondary + primary). (iii)Using Fourier analysis to obtain the Fourier series of all line currents, then calculate the THD of the input current. (iv) Draw the output voltage of the first and second rectifiers and give the relation of the total output voltage. N2 B C Fig. 1 N3 a
Q2.A. It is planned to use the transformer shown in Fig. 1, a 12-pulse rectifier. Each secondary is connected to three phase controlled bridge rectifier. The two rectifiers are connected in series to supply a highly inductive load. 1. Based on the phasor relationship between different windings. If suitable turns ratio is selected, is it possible to use this transformer to produce 12 pulse output voltage? Show the reason behind your answer. 2. Assuming this arrangement is possible to be used in 12-pulse rectifier, draw the output voltage of the 1st and 2nd rectifier and give the relation of the total output voltage. 3. Use the Fourier analysis to show the harmonics in all line currents of the transformer. A B in C Fig. 1 b la a 2 b.

Chapter 2 Solutions

Fundamentals of Electromagnetics with Engineering Applications

Ch. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - A 20.0–cm–long section of copper pipe has a...Ch. 2 - A line charge with charge density 2.00nC/m exists...Ch. 2 - You are given two z–directed line charges of...Ch. 2 - Suppose you have a segment of line charge of...Ch. 2 - A segment of line charge L=10.nC/m exists on the...Ch. 2 - In free space, there is a point charge Q=8.0nC at...Ch. 2 - Prob. 2.20PCh. 2 - Sketch the following surfaces and find the total...Ch. 2 - Consider a circular disk in the x–y plane of...Ch. 2 - Suppose a ribbon of charge with density S exists...Ch. 2 - Sketch the following volumes and find the total...Ch. 2 - You have a cylinder of 4.00–in diameter and...Ch. 2 - Consider a rectangular volume with...Ch. 2 - Prob. 2.27PCh. 2 - Prob. 2.28PCh. 2 - Given D=2a+sinazC/m2, find the electric flux...Ch. 2 - Suppose the electric flux density is given by...Ch. 2 - Prob. 2.31PCh. 2 - A cylindrical pipe with a 1.00–cm wall thickness...Ch. 2 - Prob. 2.34PCh. 2 - Prob. 2.35PCh. 2 - A thick–walled spherical shell, with inner...Ch. 2 - Prob. 2.37PCh. 2 - Determine the charge density at the point...Ch. 2 - Given D=3ax+2xyay+8x2y3azC/m2, (a) determine the...Ch. 2 - Suppose D=6cosaC/m2. (a) Determine the charge...Ch. 2 - Suppose D=r2sinar+sincosaC/m2. (a) Determine the...Ch. 2 - Prob. 2.42PCh. 2 - A surface is defined by the function 2x+4y21nz=12....Ch. 2 - For the following potential distributions, use the...Ch. 2 - A 100nC point charge is located at the origin. (a)...Ch. 2 - Prob. 2.46PCh. 2 - Prob. 2.47PCh. 2 - Prob. 2.48PCh. 2 - Suppose a 6.0–m–diameter ring with charge...Ch. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - The typical length of each piece of jumper wire on...Ch. 2 - A 150–m length of AWG–22 (0.644 mm diameter)...Ch. 2 - Determine an expression for the power dissipated...Ch. 2 - Find the resistance per unit length of a stainless...Ch. 2 - A nickel wire of diameter 5.0 mm is surrounded by...Ch. 2 - Prob. 2.57PCh. 2 - A 20nC point charge at the origin is embedded in...Ch. 2 - Suppose the force is very carefully measured...Ch. 2 - The potential field in a material with r=10.2 is...Ch. 2 - In a mineral oil dielectric, with breakdown...Ch. 2 - Prob. 2.62PCh. 2 - For z0,r1=9.0 and for z0,r2=4.0. If E1 makes a 300...Ch. 2 - Prob. 2.64PCh. 2 - Consider a dielectric–dielectric charge–free...Ch. 2 - A 1.0–cm–diameter conductor is sheathed with a...Ch. 2 - Prob. 2.67PCh. 2 - For a coaxial cable of inner conductor radius a...Ch. 2 - Prob. 2.69PCh. 2 - Prob. 2.70PCh. 2 - A parallel–plate capacitor with a 1.0m2 surface...Ch. 2 - Prob. 2.72PCh. 2 - Prob. 2.73PCh. 2 - Given E=5xyax+3zaZV/m, find the electrostatic...Ch. 2 - Suppose a coaxial capacitor with inner radius 1.0...
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