Engineering Electromagnetics
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 9, Problem 9.26P

Write Maxwell’s equations in point form in terms of E and H as they apply to a source less medium, where J and pv are both zero. Replace e with p, p, with e, E with H, and H with -E, and show that the equations are unchanged. This is a more general expression of the duality principle in circuit theory.

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1. A thin rod of length W has uniform charge per length A. Find the electric potential (voltage) at the position P as shown. Assume V = 0 at r = o for problems on this worksheet. Use the integration variable u as defined in the diagram to write the voltage at point P. Include the limits of integration but you do not need to evaluate the integral. P Hint: break up the rod into small pieces of length du and use the point charge formula for the voltage due to the small piece dV = Kdq/r with dą and r written in terms of the givens à, L, z and integration variable u and du. W 3 du 0.
1. There is another method to find the time constant RC. For a discharging capacitor its voltage can RC be expressed as V(t) = V₂e . When time t = RC, V = Voe¹ = V.(0.368). If we have a discharging curve, we follow the curve to the point where the voltage is equal to 0.368V. The time corresponding to 0.386V, is the time constant, t = RC. V V₂ 0.368 V T Use your voltage data for R₁ = 10 k2 and determine the time constant. Show your work.
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