Instructor Problem 3: Matlab provided the following answers: a) √j = 0.707 + j0.707 b) √−j = 0.707 - j0.707 c) (√) ¹ = 0.4599+j0 d) cos(j) = 1.5431 e) sin(j) = 0 + j1.1752 For each part using your knowledge of Euler's equation and complex numbers verify that the answers are correct.

Instructor Problem 3: Matlab provided the following answers: a) √j = 0.707 + j0.707 b) √−j = 0.707 - j0.707 c) (√) ¹ = 0.4599+j0 d) cos(j) = 1.5431 e) sin(j) = 0 + j1.1752 For each part using your knowledge of Euler's equation and complex numbers verify that the answers are correct.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Q: Instructions Design the synchronous 3-bit binary down counter with D-lip-flops and any number of…

A: We need to design a 3-bit binary down counter with D flip-flips and any number of 2:1 multiplexers…

Q: The angular acceleration of the disk is defined by a = 2.1t² + 9 rad/s², where t is in seconds. The…

A: Given data:Radius of disc To determine:The magnitude of the acceleration of point A at t=1 sec

Q: 8. The circuit parameters for a series RLC band-stop filter are R= 2 ks, L= 0.1 H, C= 40 pF.…

A: It is given that:

Q: 25. A synchronous generator is connected to an infinite bus with excitation voltage E, = 1.3 pu. The…

A: It is given that:

Q: Problem 7. A source e.m.f. of 5 V supplies a current of 3 A for 10 minutes. How much energy is…

A: It is given that:E = 5 VI = 3 At = 10 minute = 600 second

Q: 11. The voltage and current in an electrical device are given by v(t) = 50e-²¹, i(t) = 4(1-e²²¹) (a)…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Let's say you have an input signal coming in mixed with a high frequency noise so that Vin(t) =…

A: The input signal, The signal-to-noise ratio, The cutoff frequency of LPF,

Q: Determine the range of frequencies that will be passed by a series RLC band-pass filter with R= 102,…

A: It is given that:

Q: An abc-sequence set of voltages feeds a balanced three-phase wye-wye system. If Van = 440230° Vrms…

Q: ANSWER 4 AND 5 PLS. I NEED IT RUSH

A: Turn per coil = 1Conductor per slot = 2Commutator segments = 25To create a winding table for a…

Q: FEEDBACK AND CONTROL SYSTEMS ACTIVITY NO.4 1. Design the circuit ON-OFF Push button switch using SCR…

A: SCRDiodeElectromagnetic relayDC MotorN.O. contact switchresistors

Q: 9.25 In a region where µ₁ = €₁ = 1 and 6 = 0, the retarded potentials are given by V = x(z - ct) V…

A: In the question, we have .Also the retarded potential is given by Here,

Q: 91. An engineer wants to establish a radio link between point "A" and "B", approximately 80 miles…

A: The points A and B are approximately 80 miles apart.Height of the antenna for Point "A" is more or…

Q: A) If the forward function for a control system is given below, and the feed backward Is Find the…

A: Given data:Forward path gain of the system: Unity feedback: To determine:Range of K that will make…

Q: In the circuit in the figure below, determine the following. 200 03 40.0 V 80.0 Ω 360 V. 20.0 23…

A: The above question is based on DC circuit analysis. We use nodal analysis to solve the currents.

Q: My solar power system includes a solar charger that outputs 24 volts. This charger delivers a…

A: Given Data:Solar Charger Output Voltage = 24VBattery Voltage = 12VNo. of batteries = 2Inverter Input…

Q: Q2. use superposition to get in and No Circuit I 1+1 m Pix F 牛 2roslovz (± In ML tol #t {IR

A: In this questionWe need to determine the voltage Vo and current ix as shown the circuit using the…

Q: The load flow data for a three-bus system is given below. Taking bus 1 as the slack bus, determine…

A: P2 = 9, Q2 = 0.5, P3 = -2,Q3=-0.6

Q: 7. A 4-pole, simplex-wave wound DC generator has 19 commutator segments, 19 number of slots with 2…

A: To analyze the given 4-pole, simplex-wave wound DC generator with the provided specifications, we'll…

Q: solve using matrix and please explain how it became 11 = 0.3077 A and 12 = 0.169 A because the…

A: The circuit diagram,

Q: The switch in Fig. 2 has been open for a long time. At t = 0, the switch is closed. a) Calculate i…

Q: The center frequency of a bandpass filter that has an upper cutoff frequency of 121 krad/s and a…

A: Given a band-pass filter has,Upper cut-off frequency, Lower cut-off frequency,

Q: An abc-phase sequence balanced three-phase source feeds a balanced load. The system is connected…

A: Given Data:wye-wye connected systemLoad Impedance Line Impedance Average power delivered to load PL…

Q: What is the procedure for finding the time by linear interpolation?

A: It is asked to explain the procedure for finding the time by linear interpolation.Linear…

Q: Q4) Bandlimited process does change with time: In lecture we have upper bounded the change in value…

A: 4.1) To find a lower bound and an upper bound on sin²(wτ/2), we'll use the given inequality: if 0…

Q: there is also e1-v2-e2=0 thus e1-e2=v2 he typed accoridng to kvl but i didnt understand it. i know…

Q: 12.1.8 An analysis of antenna radiation patterns for a system with a circular aperture involves the…

Q: In a spherical electrode system, gas material with the most favorable arrangement in terms of…

A: To determine the most favorable arrangement in terms of puncture resistance in a spherical electrode…

Q: Engr. AA transmits sound signal in the vacuum which can be expressed mathematically below: x(t) =…

A: If fc = 8kHz and fs = 8kHz, sketch the spectrum of the signal y(t) for 0 ≤ f ≤ 8 kHz.

Q: The Laplace transforms of x(t) and y(t) are X(s) and Y(s), respectively. For a following system,…

A: The Laplace transforms of x(t) and y(t) are X(s) and Y(s), respectively. For a following system, ,…

Q: The Right figure shows the circuit structure diagrams of a linear power supply and a switching power…

A: 1) The working methods of the power transistors in a linear power supply and a switching power…

Q: Q. Describe the differences between an analog and a digital value. Give a specific example of an…

A: Analog and digital values are two distinct ways of representing and processing information. The main…

Q: Application of Complex Number to EE (25 pts). Using Ohm’s Law (? = ? × ?), determine the following…

A: Given:To solve the given problem using Ohm's Law, we need to evaluate and simplify the impedance…

Q: Two pumps P1, and P2 are arranged to pump water. P1 is controlled by PLC1 and P2 is controlled by…

A: Aim:To write sub-routines for PLC1 and PLC2 such that when a Start push button in PLC1 is pressed P1…

Q: 3.39 A system has the closed-loop transfer function 2700(8 + 25) Y(s) R(s) (s + 1)(s +45) (s +60)…

Q: Design the following Butterworth IIR filters. Let Fs=8000Hz. Determine H(s) of the analog…

A: Note: We are only allowed to solve one question at a time, since you have not mentioned which…

Q: Q.1. Referring to the circuit of Figure Q.1 below, by using any preferred method, calculate Io. 6Ω…

A: Asked to find ioConcepts usedParallel resistance concept,Source transformation technique,Nodal…

Q: 2) Assume that Y₁(t) = f h₁(7)X(t — 7)dr and Y₂(t) = f h₂(7)X(tr)dr where h₁ (t) and h₂(t) are the…

Q: Find a Fourier series expansion of the periodic function f(t)=-2t, -1≤t≤1 f(t) = f(t+2) Select one:…

A: Given:A periodic signal, To do:We have to select the correct option for the Fourier series…

Q: a) Negative feedback circuits such as the Schmitt trigger are used to solve noisy scenarios in…

A: Since, you have asked multiple question, we will solve the first question for you as per the Q&A…

Q: In a 220 kV system, the line to ground capacitance is 0.02 µF and inductance is 9 H. Find out the…

A: It is given that:

Q: .determine the EMF @ torque equation of the the 4 diff.machines dc

A: DC machine:A DC machine, also known as a direct current machine, is an electromechanical device that…

Q: (a) State Euclid's Theorem using quantifiers. (b) Negate your expression in (a) and simplify until…

A: Euclid's Theorem, stated using quantifiers, can be expressed as follows:"For any prime number p,…

Q: If you power on a new machine and don't hear a rotating disc or see any indication lights, is it the…

A: It is given in the question that "If you power on a new machine and don't hear a rotating disc or…

Q: Vp TR1 Vs VM Sin wt TRANSIFORMER TH 1 THYRISTOR Fig 1A LOAD RESISTOR Voutput RL

Q: 5.4 Cascaded Op Amp (3) Example 7 If v₁ = 1V and v₂ = 2V, find v, in the op amp circuit shown below.…

Q: 8 V In 22.2 ks2 V₁ For the series diode configuration of Fig. 2.16, determine VD, VR, and Ip.

Q: Draw a gas fired boiler system running a steam turbine which drives a 200KW generator. Please…

A: Its main purpose is to generate electricity through the efficient conversion of the chemical energy…

Q: Problem 3: For the MOSFET transistor shown in the circuit below, the parameters are as follows, V₁ =…

Q: T(1) for 0000

A: Overshoot is time of settlement is(Ts)=

Question

Instructor Problem 3: Matlab provided the following answers:
a) √j = 0.707 + j0.707
b) √−j = 0.707 - j0.707
c) (√) ¹ = 0.4599+j0
d) cos(j) = 1.5431
e) sin(j) = 0 + j1.1752
For each part using your knowledge of Euler's equation and complex numbers verify
that the answers are correct.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: a) Proof of √(j) = 0.707+j0.707

VIEW

Step 3: b) Proof of √(-j) = 0.707-j0.707

VIEW

Step 4: c) Proof of [√(j)]^j = 0.4599+j0

VIEW

Step 5: d) Proof of cos(j) = 1.5431

VIEW

Step 6: e) Proof of sin(j) = 0+j1.1752

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Sinusoids and Phasors of Alternating Circuit

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

Given V 20 sin(@t + 60°) and V2 = 60 cos(ot- 10°). What is the phase angle %3D between the waveforms? All terms to be expressed in cosine terms. 60 80 20 40 Moving to another question will save this response. a hp O O O
The figure below shows a simple RC circuit with a 3.30-μF capacitor, a 4.40-M resistor, a 9.00-V emf, and a switch. What are the following exactly 9.00 s after the switch is closed? (a) the charge on the capacitor 13.7204 UC (b) the current in the resistor 0.0110522 x Your response is off by a multiple of ten. HA (c) the rate at which the capacitor is storing energy μW (d) the rate at which the battery is delivering energy μW
1. Obtain the signals given below from the signal generator and view these signals on the oscilloscope screen and draw them on the screen given. a) v(t) = 5*sin(314*t) b) v(t) = 3*sin(37699*t) CH1 CH1 M =.... ..... ... ..... .. ..... ...
The following circuit corresponds to: Time left 0:51:55 Ic(s)→ of 2/s Vc( ) + 2/s O a. a 2F capacitor with an initial voltae v. (0)= 2V a 2F capacitor with an initial voltae v. (0)= 0.5V c a 0.5F capacitor with an initial voltae v. (0 ) = 2V a0.5F capacitor with an initial voltae v. (0 )= 0.5V d. e None of the other answers O Type here to search
QUESTION 3 An inductor, a capacitor, and a resistor are connected in series with a function generator. The inductor drops 5V RMS, the capacitor drops 20V RMS, and the resistor drops 2V RMS. Find the magnitude of the total voltage. O 27V RMS O 15V RMS O 38V RMS O 9V RMS
An RC circuit with a l-Q resistor and a 0.000001-F capacitor is driven by a voltage sin 100t V. If the initial capacitor voltage is zero, determine the current at any time t. (Show the complete solution) 10,000 cos100t +sin 100t -10,000e-1000,00ot Answer: I 100,000,001
The current through a 220 μF capacitor is given below. Use Ohm’s Law to find the voltage. Convert to polar form, find the impedance and complete the math, then convert back to the waveform at i1 = 1.5sin(2500t + 30°) mA and i2 = 4.7sin(200t – 40°) mA
Select all correct statement(s):1, The equivalent resistance for resistors in parallel is the harmonic mean of all resistors;2, The equivalent capacitance for capacitors in series is the sum of all capacitors;3, The equivalent inductance for inductors in series is the sum of all resistors.32None of them is correct1
Calculate the difference A B if A=10236.87 and B=10453.13°. Show your solution graphically.
Questions 16 to 20 (Write True or False) A16 A larger inductor produces a smaller rate of change of current. A17 KVL states that E IR + E EMF = 0 for any open circuits. A18 For a sine waveform, the value of form factor is 1.414. A19 In a purely inductive circuit, the current lags the voltage by II/4 rads. In an ideal transformer, the rate of change of flux is the same for both primary A20 and secondary.
The current through a 50 mH inductor is given below. Use Ohm’s Law to find the voltage. Convert to polar form, find the impedance and complete the math, then convert back to the waveform at i1 = 7.5sin(2500t – 20°) mA and i2 = 5.9sin(200t + 40°) mA
Required information Problem 06.037 - DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS The current through a 17-mH inductor is 4 sin 100t A. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Problem 06.037.a - Voltage across an inductor Find the voltage vt). The voltage is cos 100t V.