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Introduction to Electrodynamics Hardcover - 2015
by David J. Griffiths
Summary
For junior/senior-level electricity and magnetism courses. This book is known for its clear, concise, and accessible coverage of standard topics in a logical and pedagogically sound order. The highly polished Fourth Edition features a clear, accessible treatment of the fundamentals of electromagnetic theory, providing a sound platform for the exploration of related applications (ac circuits, antennas, transmission lines, plasmas, optics, etc.). Its lean and focused approach employs numerous new examples and problems.Sample questions asked in the 4th edition of Introduction to Electrodynamics:Work out the theory of TM modes for a rectangular wave guide. In particular, find the longitudinal electric field, the cutoff frequencies, and the wave and group velocities. Find the ratio of the lowest TM cutoff frequency to the lowest TE cutoff frequency, for a given wave guide. [ Caution : What is the lowest TM mode?] The height of a certain hill (in feet) is given by h ( x , y ) = 10 ( 2 xy ? 3 x 2 ? 4 y 2 ? 18 x + 28 y + 12 ), where y is the distance (in miles) north, x the distance east of South Hadley. (a) Where is the top of the hill located? (b) How high is the hill? (c) How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? In what direction is the slope steepest, at that point? Using Eqs. 2.27 and 2.30, find the potential at a distance z above the center of the charge distributions in Fig. 2.34. In each case, compute E = ??V, and compare your answers with Ex. 2.1, Ex. 2.2, and Prob. 2.6, respectively. Suppose that we changed the right-hand charge in Fig. 2.34a to ?q; what then is the potential at P? What field does that suggest? Compare your answer to Prob. 2.2, and explain carefully any discrepancy. Eqs. 2.27 Eqs. 2.30 Reference example 2.1 Find the electric field a distance z above the midpoint between two equal charges ( q ), a distance d apart (Fig. 2.4a). Reference example 2.1 Find the electric field a distance z above the midpoint of a straight line segment of length 2 L that carries a uniform line charge ? (Fig. 2.6). Reference prob.2.6 Find the electric field a distance z above the center of a flat circular disk of radius R (Fig. 2.10) that carries a uniform surface charge ? .What does your formula give in the limit R ??? Also check the case z ? R . Reference figure 2.10 Reference prob.2.2 Find the electric field (magnitude and direction) a distance z above the midpoint between equal and opposite charges (±q), a distance d apart (same as Example 2.1, except that the charge at x = +d/2 is ?q). Reference example 2.1 Find the electric field a distance z above the midpoint between two equal charges ( q ), a distance d apart (Fig. 2.4a).
Details
- Title Introduction to Electrodynamics
- Author David J. Griffiths
- Binding Hardcover
- Edition 4th Edition
- Language ENG
- Publisher Pearson, New Delhi
- Date 2015
- ISBN 9780321856562
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