EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
6th Edition
ISBN: 8220102801448
Author: Alexander
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 17.5, Problem 9PP
Find the rms value of the periodic current
i(t) = 8 + 30 cos 2t − 20 sin 2t + 15 cos 4t − 10 sin 4t A
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Find the rms value of the periodic waveform of the figure below over one full cycle.
v(V)
1 cycle
3
2
1-
1
3.
5
6
7 8
9 10 11 12
t (s)
4
-1
1.242 Vpeak
1.429 Vrms
1.229 Vrms
1.249 Vrms
1.242 V
Find the rms value of the periodic function described in figure below. Assume that Vi= 2 mV, V2= 4 mV,
V3= 6 mV, and va= 8 mV.
v (V),
V3
V2
TO
T5
20 25 30
35
40 45
I (ms)
- V2
- V3
V4
1 cycle
www
For the circuit shown below, the complex power absorbed by the element (5+j10 ohms) is
VA
50
120 /0° V rms
-j10 N
j10 N
j615-390 O
j720-812 O
none of the above ()
j317+423 O
j514-220 O
1065-532 O
J544-1250
j1743-428 )
Chapter 17 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
Ch. 17.2 - Find the Fourier series of the square wave in Fig....Ch. 17.2 - Determine the Fourier series of the sawtooth...Ch. 17.3 - Prob. 3PPCh. 17.3 - Find the Fourier series expansion of the function...Ch. 17.3 - Prob. 5PPCh. 17.4 - Prob. 6PPCh. 17.4 - If the input voltage in the circuit of Fig. 17.24...Ch. 17.5 - The voltage and current at the terminals of a...Ch. 17.5 - Find the rms value of the periodic current i(t) =...Ch. 17.6 - Obtain the complex Fourier series of the function...
Ch. 17.6 - Obtain the complex Fourier series expansion of...Ch. 17.7 - Prob. 12PPCh. 17.8 - Rework Example 17.14 if the low-pass filter is...Ch. 17 - Which of the following cannot be a Fourier series?...Ch. 17 - If ft=t,0t,ft+n=ft, the value of 0 is (a) 1 (b) 2...Ch. 17 - Which of the following are even functions? (a) t +...Ch. 17 - Prob. 4RQCh. 17 - Prob. 5RQCh. 17 - If f(t) = 10 + 8 cos t + 4 cos 3t + 2 cos 5t + ,...Ch. 17 - Prob. 7RQCh. 17 - The plot of |cn| versus n0 is called: (a) complex...Ch. 17 - Prob. 9RQCh. 17 - Prob. 10RQCh. 17 - Evaluate each of the following functions and see...Ch. 17 - Using MATLAB, synthesize the periodic waveform for...Ch. 17 - Given that Fourier coefficients a0, an, and bn of...Ch. 17 - Find the Fourier series expansion of the backward...Ch. 17 - Prob. 5PCh. 17 - Find the trigonometric Fourier series for f t =...Ch. 17 - Determine the Fourier series of the periodic...Ch. 17 - Using Fig. 17.51, design a problem to help other...Ch. 17 - Determine the Fourier coefficients an and bn of...Ch. 17 - Find the exponential Fourier series for the...Ch. 17 - Obtain the exponential Fourier series for the...Ch. 17 - Prob. 12PCh. 17 - Prob. 13PCh. 17 - Find the quadrature (cosine and sine) form of the...Ch. 17 - Express the Fourier series...Ch. 17 - The waveform in Fig. 17.55(a) has the following...Ch. 17 - Prob. 17PCh. 17 - Prob. 18PCh. 17 - Obtain the Fourier series for the periodic...Ch. 17 - Prob. 20PCh. 17 - Prob. 21PCh. 17 - Calculate the Fourier coefficients for the...Ch. 17 - Using Fig. 17.61, design a problem to help other...Ch. 17 - Prob. 24PCh. 17 - Determine the Fourier series representation of the...Ch. 17 - Find the Fourier series representation of the...Ch. 17 - For the waveform shown in Fig. 17.65 below, (a)...Ch. 17 - Obtain the trigonometric Fourier series for the...Ch. 17 - Prob. 29PCh. 17 - Prob. 30PCh. 17 - Prob. 31PCh. 17 - Prob. 32PCh. 17 - Prob. 33PCh. 17 - Prob. 34PCh. 17 - Prob. 35PCh. 17 - Prob. 36PCh. 17 - If the periodic current waveform in Fig. 17.73(a)...Ch. 17 - Prob. 38PCh. 17 - Prob. 39PCh. 17 - The full-wave rectified sinusoidal voltage in Fig....Ch. 17 - Prob. 42PCh. 17 - The voltage across the terminals of a circuit is...Ch. 17 - Prob. 44PCh. 17 - A series RLC circuit has R = 10 , L = 2 mH, and C...Ch. 17 - Prob. 46PCh. 17 - Prob. 47PCh. 17 - Prob. 48PCh. 17 - Prob. 49PCh. 17 - Prob. 50PCh. 17 - Prob. 51PCh. 17 - Prob. 52PCh. 17 - Prob. 53PCh. 17 - Find the exponential Fourier series for the...Ch. 17 - Obtain the exponential Fourier series expansion of...Ch. 17 - The Fourier series trigonometric representation of...Ch. 17 - Prob. 57PCh. 17 - Find the exponential Fourier series of a function...Ch. 17 - Prob. 59PCh. 17 - Obtain the complex Fourier coefficients of the...Ch. 17 - The spectra of the Fourier series of a function...Ch. 17 - Prob. 62PCh. 17 - Plot the amplitude spectrum for the signal f2(t)...Ch. 17 - Prob. 64PCh. 17 - Prob. 65PCh. 17 - Prob. 66PCh. 17 - Prob. 67PCh. 17 - Prob. 68PCh. 17 - Prob. 69PCh. 17 - Design a problem to help other students better...Ch. 17 - Prob. 71PCh. 17 - Prob. 72PCh. 17 - Prob. 73PCh. 17 - Prob. 74PCh. 17 - Prob. 75PCh. 17 - Prob. 76PCh. 17 - Prob. 77CPCh. 17 - Prob. 78CPCh. 17 - Consider the full-wave rectified sinusoidal...Ch. 17 - Prob. 82CP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- P.3: Find the rms value for the following sinusoidal waveforms a. v= 120 sin(377t + 60°) b. i=6x 10³ sin(2# 1000r) c. u=8 x 10-6 sin(2# 5000 + 30°) P.4: Find the rms value for the following sinusoidal waveforms a. v= 20 sin 754r b. v= 7.07 sin 377r c. i=0.006 sin(400r + 20°) d. i 16 x 10³ sin(377r - 10%) P.5: Write the sinusoidal expressions for voltages and currents having the following rms values at a frequency of 60 Hz with zero phase shifts: a. 4.8 V b. 50 mA c. 2 kVarrow_forwardWhat is the ripple factor of a sinusoidal signal having an rms of 56 V on an average of 50 V? r-Blank 1 V at least 2 decimal place Blank 1 Add your answerarrow_forwardThe frequency of the sinusoid V(t)=55 cos(100t+12) V is Hz 15.91 Hz 33.24 Hz 7.91 Hz 60arrow_forward
- Show that the total area under the curve of sinc function is equal to 1. That means ( sinc (t) dt = 1 00arrow_forwardWhat is the RMS value of the following signal? v(t) = 10 cos(400t + 45°) V 7.07 V 4.24 V 10 V 5Varrow_forwardQuestion 1 A series RLC circuit has a capacitor with a capacitance of 33.0 μF, an inductor with an inductance of 0.700 H and a resistor with a resistance of 114 Q. The circuit has a rms current of 6.30 A when the frequency is 95.0 Hz. What is the average power loss?arrow_forward
- 12 v(t)=7*sin(11*pi*t) is a sinusoidal signal. What is the frequency of v(t)? V=T* sin T pi ) strnüzUaat Du SinyalaiIz cinstnder nin frekancı nedir2 Yanıt:arrow_forwardFind the rms value for each waveform. Calculate the average power of each waveform. v(1) V Sinusoid + Constant 0 T/2 i(t) mA 10 ve И д www Sinusoidal -5 0 10 -T/2 u (V) 2 (a) 5 (b) 3 6 (c) 9 T 15 I (us) I (s)arrow_forwardA series RL circuit connected to an AC voltage sinusoidal source of 100 V peak voltage and 1 kHz frequency. If R = 1 ohm and L = 1 mH, then... a) The rms current through the circuit leads the source voltage b) The rms current through the circuit is 11.114 A 279.043° c) The rms current through the circuit is 15.718 A z-80.96° O d) The rms current through the circuit is 15.718 A 270.56°arrow_forward
- Find the RMS value of the waveform depicted below. Given A = 5, a = 2, b = 6, and T = 13 Hint: You will probably want to express the waveform as a piecewise function. A www a+b T 2T t=a t=b 0 tarrow_forward3 Find average value, RMS value and form factor of waveform shown in figure. [BV 2017] i(t) 5A 2.5 time -5Aarrow_forwardAn alternating voltage is given by V=100 sin (50Ttt - 0.30)V. Which of the following statements is true? O a. The r.m.s. voltage is 100V O b. The frequency 25HZ O c. The periodic time is 20ms O d. The voltage is leading varrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
Random Variables and Probability Distributions; Author: Dr Nic's Maths and Stats;https://www.youtube.com/watch?v=lHCpYeFvTs0;License: Standard Youtube License