Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Textbook Question
Chapter 1.4, Problem 8CQ
Why does a negative value of ϕ0 signify a phase lag?
Expert Solution & Answer
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Terms: amplitude (A), phase angle (p), frequency (f), angular frequency (w),
period (T), peak value (Vp), peak-to-peak value (Vpp).
Draw a 60 Hz, 5 Vp sine wave on a coordinate axis and graphically identify as
many of the terms as possible from the previous section. Use voltage in volts
for the y-axis, and time in milliseconds for the x-axis. You can use the blank
OSC templates shown in the procedure section to draw the signals.
Expert Solution
Vp 5 Volls
f = 60H₂
Time period (T) = '/f
angular frequency (W) = 2πTf
=2 TT (60)
= ㅗ seconds
60
Amplitude (A) = 5 volts,
Vp = 5
=
vp
milli seconds
below plot)
peak to Peak Value
(UPP) = 2 Vp=2 (5) = 10, volts
Phase
we can't find. E didn't mention
about horizontal axis shifting]
T
377 rad/see.
Upp
PA
TA
25/3
50%
5 volts, (from
25
100
t
(ms)
If two sinusoidal waves appeared on the screen, where the scale of ch1 is 2v/Div., and the scale of the ch2
is 5v/Div. and the time base = 1 msec/Div. Detemine the following
a The peak to peak value of the first signal V,
b The peak to peak value of the first signal V2
c. The frequency for each wave
d The phase shift between the two waves.
V1
V2
Question:
The symmetrical saw tooth waveform voltage as shown in figure is applied to an
average responding a.c voltmeter with a scale calibrated in term of the r.m.s
value of a sine wave. Calculate:
1. The form factor of square wave voitage.
2. The error in the meter indication
V(t)
100
-100
4Sec
Sol:
V(t)=25t
Vav.=50V
Vrms(True) 57.75v
Vrms(Measured)=55.5V
F.F(True)=1.154
Error-0.0389%
Chapter 1 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 1.3 - Prob. 1CQCh. 1.3 - What is Coulombs law? State its properties.Ch. 1.3 - What are the two important properties of electric...Ch. 1.3 - What do the electrical permittivity and magnetic...Ch. 1.3 - What are the three branches and associated...Ch. 1.4 - How can you tell if a wave is traveling in the...Ch. 1.4 - Prob. 7CQCh. 1.4 - Why does a negative value of 0 signify a phase...Ch. 1.4 - Consider the red wave shown in Fig. E1.1. What is...Ch. 1.4 - The wave shown in red in Fig. E1.2 is given by...
Ch. 1.4 - The electric field of a traveling electromagnetic...Ch. 1.4 - Prob. 4ECh. 1.4 - The red wave shown in Fig. E1.5 is given by...Ch. 1.4 - An electromagnetic wave is propagating in the z...Ch. 1.5 - What are the three fundamental properties of EM...Ch. 1.5 - What is the range of frequencies covered by the...Ch. 1.5 - Prob. 11CQCh. 1.6 - Express the following complex functions in polar...Ch. 1.6 - Show that 2j=(1+j). (See EM.)Ch. 1.7 - Prob. 12CQCh. 1.7 - How is the phasor technique used when the forcing...Ch. 1.7 - A series RL circuit is connected to a voltage...Ch. 1.7 - A phasor voltage is given by V=j5V. Find (t).Ch. 1 - A 2 kHz sound wave traveling in the x direction in...Ch. 1 - For the pressure wave described in Example 1-1,...Ch. 1 - A harmonic wave traveling along a string is...Ch. 1 - A wave traveling along a string is given by...Ch. 1 - Two waves, y1(t) and y2(t), have identical...Ch. 1 - The height of an ocean wave is described by the...Ch. 1 - A wave traveling along a string in the +x...Ch. 1 - Two waves on a string are given by the following...Ch. 1 - Give expressions for y(x, t) for a sinusoidal wave...Ch. 1 - An oscillator that generates a sinusoidal wave on...Ch. 1 - Prob. 11PCh. 1 - Given two waves characterized by...Ch. 1 - The voltage of an electromagnetic wave traveling...Ch. 1 - A certain electromagnetic wave traveling in...Ch. 1 - Prob. 15PCh. 1 - Prob. 16PCh. 1 - Complex numbers z1 and z2 are given z1=3j2z2=4+j3...Ch. 1 - Complex numbers z1 and z2 are given by...Ch. 1 - If z=2+j4, determine the following quantities in...Ch. 1 - Find complex numbers t=z1+z2 and s=z1z2, both in...Ch. 1 - Complex numbers z1 and z2 are given by...Ch. 1 - If z=3j5, find the value of ln(z).Ch. 1 - If z = 3 j4. find the value of ez.Ch. 1 - Prob. 24PCh. 1 - A voltage source given by s(t)=25cos(2103t30)(V)...Ch. 1 - Find the phasors of the following time functions:...Ch. 1 - Find the instantaneous time sinusoidal functions...Ch. 1 - A series RLC circuit is connected to a generator...Ch. 1 - The voltage source of the circuit shown in Fig....
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