Fundamentals Of Applied Electromagnetics
7th Edition
ISBN: 9781292082448
Author: Fawwaz T Ulaby Umberto Ravaioli
Publisher: Pearson Education Dorling Kindersley
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Textbook Question
Chapter 1, Problem 27P
Find the instantaneous time sinusoidal functions corresponding to the following phasors:
(a)
(b)
(c)
(d)
(e)
(f)
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1. solve equation of the sinusoidal signal v(t) from the information, where v(t) = Vp sin ωt.
Vp-p = 6 div Oscilloscope setting: horizontal = 0.5 ms/div
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2. 1 cycle of 2 sinusoidal signals displayed with 10 kHz on the oscilloscope screen. If the two signals have a difference time with 20µs, what the value of phase shift between two signals/waveforms displayed on the scope screen?
3. It is possible for a circuit made up of a resistor, an inductor, and a capacitor (connected in series or parallel) to behave like a purely resistive circuit. Explain why.
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27. Find the amplitude of a given time domain voltage equation v(t) = 100 sin(200t + 30 deg) V.
100
60
200
30
28. A coil of copper wire has a resistance of 5.46 at 750 C what will be its resistance at 250
5.02
4.58
4.84
4.35
30. It describes the sum of angular frequency and the phase.
velocity
amplitude
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31. What is the instantaneous value of a given time domain circuit with v(t) = 100 sin(377t) in 5mS.
87.45
4.75
3.29
95.10
Determine whether the signs given below are periodic.
a) sin (4000(pi)t) + cos (11000 (pi)t)
b) sin (4000(pi)t) + cos (11000t)
c) sin [4000(pi)n] + cos [11000(pi)n]
d) sin [4000(pi)n] + cos [11000n]
Chapter 1 Solutions
Fundamentals Of Applied Electromagnetics
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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- Write a Matlab code to sketch using plot function, y(t)=3 sin(t) for 3 periodsarrow_forwardThe following circuit is powered by a polyharmonic voltage whose expression is: v(t) = 100+141.sin (1000t) + 70.7.sin (2000t) V. It is requested: a) The expression of the instantaneous current.b) Plot the amplitude and phase spectra of the voltage and current.c) The values of the apparent, active, reactive and distortion powers, justifying the resultsarrow_forwardFind the phase relations for the following pairs of sinusoids. Sketch the curve e and i anddetermine which one LAGS and LEADS.a. v = 60 sin(377 t + 50°) V ; i = 3 sin(754t − 10°)A b. v = 6.4 sin(7.1 πt + 30°) V ; i = 7.3 sin(7.1 πt − 10°)A c. v = 42.3 sin(400 t + 60°) V ; i = −4.1 sin(400t − 50°)Aarrow_forward
- The current in an ac circuit at any time t seconds is given by i = 120 sin (100πt + 0.36) amperes. Find: a) the peak value, the periodic time, the frequency and the phase angle relative to 120 sin(100πt); b) the value of current when t = 0; c) the value of current t = 8ms; d) the time when the current first reaches 60 A, and the time when the current is first a maximumarrow_forward4. Find the phasors corresponding to the followinga. ? ? = 21 cos 4? − 15° ?b. ? ? = −8 sin 10? + 70° ?arrow_forwardplease sketch relevant circuits, graphs, phasors, and all signals that are changing with timearrow_forward
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- If the rms phasor of a voltage is given by V=12060 volts, then the corresponding v(t) is given by (a) 1202cos(t+60) (b) 120cos(t+60) (c) 1202sin(t+60)arrow_forwardUsing the phase shift theta= 72° from the Experiment, determine the value of the capacitance, C, of the capacitor shown. Vr(t) = 0.93612 cos( 4000 t - 72° ) Varrow_forwardThe system produced, 3 poles in the left-half plane, 4 in the jw-axis and 0 in the right-half plane. The stability condition of the system is __________. A. Stable B. Unstable C.Marginally Stablearrow_forward
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