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 2, Problem 2.20P
A line charge of uniform charge density p0 C/m and of length {is oriented along the z- axis at – � /12
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Waveforms v1(t) and v2(t) are given by:v1(t) = −4 sin(6π ×10^4t +30◦) V,v2(t) = 2cos(6π ×10^4t −30◦) V.Does v2(t) lead or lag v1(t), and by what phase angle?
7.1 Express the current waveform
i(t) = -0.2 cos(6 × 10°1 +60°) mA
in standard cosine form and then determine the following:
(a) Its amplitude, frequency, and phase angle.
(b) i(t) at t=0.1 ns.
3. Consider the RC circuit with a constant voltage source shown in the diagram below. The
values of the resistor, capacitor, and input voltage are R = 50, C = 10 µF, and V = 6V,
respectively. Assume that there is initially no charge on the capacitor before the switch is
closed.
Vo
↑i(t)
R
w
C
When the switch closes at time t = 0, the current begins to flow as a function of time according
to the equation
i(t) = ioenc
Chapter 2 Solutions
Engineering Electromagnetics
Ch. 2 - Three point charges of equal magnitude q, that...Ch. 2 - Point charges of 1nC and -2 nC are located...Ch. 2 - Point charges of 50 nC each are located at...Ch. 2 - Eight identical point charges of Q C each are...Ch. 2 - A point charge of 3 nC is located at the point...Ch. 2 - Two point charges of equal magnitude q are...Ch. 2 - Point charges of equal magnitude but of opposite...Ch. 2 - A crude device for measuring charge consists of...Ch. 2 - A 100-nCpoint charges is located at A(-1,1,3)in...Ch. 2 - A configuration of point charges consists of a...
Ch. 2 - A charge Q0 located at the origin in free product...Ch. 2 - Electrons are in random in a fixed region in...Ch. 2 - A uniform volume charge density of 0.2 μC/m3 is...Ch. 2 - The electron beam in a certain cathode ray tube...Ch. 2 - A spherical volume having a 2-/μm radius contains...Ch. 2 - Within a region of free space, charge density...Ch. 2 - A length d of the charge lies on the Z-axis infree...Ch. 2 - (a) Find E in the plane z=0 that is produced by a...Ch. 2 - A line having charge density p0|C|C/m and of...Ch. 2 - A line charge of uniform charge density p0 C/m and...Ch. 2 - A charged filament forms a circle of radius a in...Ch. 2 - Prob. 2.22PCh. 2 - A disk of radius a in the xy plane carries surface...Ch. 2 - (a) Find the electric field on the z-axis produced...Ch. 2 - A disk of radius a in the xy plane carries surface...Ch. 2 - (a) Find the electric intensity on the z- axis...Ch. 2 - Given the electric field E=(4x2y)ax(2x+4y)ay, find...Ch. 2 - An electric dipole (introduced in Problem 2.7, and...Ch. 2 - If E=20e5y(cos5xaxsin5xay) ,find (a)...Ch. 2 - For fields that do not vary with z in cylindrical...
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