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 8, Problem 8.30P
To determine

(a)

The magnetic flux density as a function of position over core cross-section.

To determine

(b)

Total magnetic flux within the core.

To determine

(c)

The self-inductance of coil 1.

To determine

(d)

The mutual inductance between coil 1 and coil 2.

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1. Consider the following a unity feedback control system. R(s) + E(s) 500(s+2)(s+5)(s+6) s(s+8)(s+10)(s+12) -Y(s) Find the followings: a) Type of the system b) Static position error constant Kp, Static velocity error constant Ry and Static acceleration error constant Ka c) Find the steady-state error of the system for (i) step input 1(t), (ii) ramp input t 1(t), (iii) parabolic input t² 1(t). 2. Repeat the above problem for the following system. R(s) + E(s) 500(s + 2)(s + 5) (s+8)(s+ 10)(s+12) Y(s) 3. Repeat the above problem for the following system. R(s) + E(s) 500(s+2)(s+4)(s+5)(s+6)(s+7) s²(s+8)(s+10)(s+12) Y(s)
4. Consider a unity (negative) feedback control system whose open-loop transfer function is given by the following. 2 G(s) = s³ (s + 2) Find the steady-state error of the system for each of the following inputs. = a) u(t) (t²+8t+5) 1(t) b) u(t) = 3t³ 1(t) c) u(t) (t+5t² - 1) 1(t) =
1 2. For the following closed-loop system, G(s) = and H(s) = ½ (s+4)(s+6) a. Please draw the root locus by hand and mark the root locus with arrows. Calculate the origin and angle for asymptotes. b. Use Matlab to draw the root locus to verify your sketch. Input R(s) Output C(s) KG(s) H(s)

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Engineering Electromagnetics

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Publisher:Mcgraw-hill Education,