Yianni Tripas - EMNG1001_Lab6_CombinationCircuits_InClass(2)
docx
keyboard_arrow_up
School
Toronto Metropolitan University *
*We aren’t endorsed by this school
Course
1001
Subject
Electrical Engineering
Date
Dec 6, 2023
Type
docx
Pages
10
Uploaded by GeneralMaskCaribou8
Student First Name:
Yianni
Student Last Name:
Tripas
Student Number: 101490541
Submission Date:
2023-10-26
General Notes:
1.
Type your name, student ID, and the submission date of the lab in the above fields.
2.
Practice safety at all times. Carefully follow the directions of the lab. Do not use broken power
cords or broken devices powered directly from the mains such as the DC supply.
3.
Use only the electronic kit and devices provided by George brown college. Also, ensure that all
equipment in the kit stays in good working condition.
4.
Carefully read and follow
ALL
lab instructions provided in the lab write-up.
5.
Complete all measurements, calculations, tables, drawings, and images required for all labs.
6.
Answer all questions neatly and concisely in the spaces provided (preferably in bold red).
7.
All Labs must be submitted by their due dates in Blackboard and cannot be made up. A grade of
“Zero”
will be assigned for missed labs.
8.
The mark and possible feedback will be posted in Blackboard after the due date of each lab.
Submission: This original word document with answers included in full is required to be submitted in
Blackboard by the due date. It is not allowed to submit another separate document that
includes only answers to the questions.
Lab 6 Combination Circuits
Objectives
Upon completion of this lab, students will be able to:
1.
Learn to recognize and construct combination series-parallel circuits.
2.
Compute voltages and currents of combination series-parallel circuits.
3.
Apply the concept of equivalent circuits to simplify combination circuits.
4.
Verify computations through measurements.
Introduction
Real-life systems and applications involve series-parallel circuits which are commonly referred to as
combination circuits. The key to solving combination type circuits is to form equivalent circuits of the
Ali A. Hussein, Ph.D., P. Eng.
EMNG 1001, Circuit Analysis Lab
Page 1
EMNG1001 Circuit Analysis
Lab 6 Combination Circuits
series and parallel elements. The goal is to reduce a complex combination circuit into a simple series or
parallel circuit. To do so, the student must recognize circuit elements which are connected in series and
parallel to form the equivalent circuit. To identify whether components are in series or parallel
remember that:
For components to be considered in series, they must be connected end-to-end and the
identical amount of current must flow through them.
For components to be considered in parallel, both ends of one component must be directly
attached to both ends of other components.
Take as an example the combination circuit of Figure 1.
Figure 1 Combination circuit example.
In Figure 1,
R
2
is in series with
R
3
and they can be replaced with an equivalent resistance equals
to
R
a
=
R
2
+
R
3
=
11.5
k Ω
. The circuit can then be simplified as shown in Figure 2.
Figure 2 Simplification of the circuit of Figure 1.
In Figure 2,
R
1
is in parallel with
R
a
and they can be replaced by the equivalent total resistance
as follows and as shown in Figure 3:
Figure 3 Total equivalent resistance of the circuit of Figure 1.
Ali A. Hussein, Ph.D., P. Eng.
EMNG 1001, Circuit Analysis Lab
Page 2
R
T
=
[
1
R
1
+
1
R
a
]
−
1
≈
2.564
k Ω
Part 1 Procedure
1.
From your tool kit obtain the following resistors: 2.2KΩ, 4.7KΩ, 5.6 KΩ, and 10KΩ.
2.
Use the DMM to measure the resistance of each resistor and record the measured values below in
Table 1.
Table 1 Measuring resistances.
Resistor
Nominal Resistance (KΩ)
Measured Resistance (KΩ)
R
1
2.2
2.17 KΩ
R
2
4.7
4.61 KΩ
R
3
5.6
5.56 KΩ
R
4
10
9.81 KΩ
3.
Using the resistors from Table 1, construct the combination circuit shown in Figure 4 below. Adjust
the DC power source to 12 V.
Figure 4 Experimental combination circuit of Part 1.
4.
Identify the topology of the combination circuit of Figure 4:
a.
Indicate which resistors will have identical current flowing through them (i.e. which resistors
are connected in series?).
Ali A. Hussein, Ph.D., P. Eng.
EMNG 1001, Circuit Analysis Lab
Page 3
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Answer:
……R1 + R4……………………..
b.
Indicate which resistors have both ends connected (i.e. which resistors are connected in
parallel so that they receive the same voltage?).
Answer:
………R2+R3…………………..
5.
Measure the DC source voltage as it is applied to the circuit:
V
s
=
¿
………12.0 V…………………..
6.
Utilizing the measured values of the resistances as in Table 1 and the measures supply voltage as
in step 5, theoretically analyze the combination circuit of Figure 4 as follows and fill in the
computed values in Table 2:
a. Replace
R
2
and
R
3
with an equivalent resistance called
R
2,3
. Determine the value of
R
2,3
:
R
2,3
=
R
2
R
3
R
2
+
R
3
…1.56
KΩ
b.
Determine the total resistance of the resulted simplified series circuit:
R
T
=
R
1
+
R
2,3
+
R
4
=
¿
………13.54
KΩ
…………………..
c.
Apply Ohm’s law to find the total current of the circuit:
I
T
=
V
s
R
T
=
¿
………0.8 mA…………………..
d.
Proceed using Ohm’s law to find the voltage drops of the different resistors and the currents of
the resistors
R
2
and
R
3
:
V
R
1
=
I
T
R
1
=
¿
…………19.2 V………………..
R
3
=
¿
I
T
R
2,3
=
¿
V
R
2,3
=
V
R
2
=
V
¿
…………13.82 V………………..
V
R
4
=
I
T
R
4
=
¿
……………7.84 V……………..
I
R
2
=
V
R
2,3
R
2
=
¿
…………2.99 mA………………..
I
R
3
=
V
R
2,3
R
3
=
¿
………………2.48 mA…………..
7.
Disconnect the constructed combination circuit of Figure 4 from the DC power supply and use the
DMM as an ohmmeter to verify the total resistance and record the value in Table 2.
8.
Connect the circuit to the DC power supply and using the DMM measure all required voltage
drops and currents as per Table 2.
Ali A. Hussein, Ph.D., P. Eng.
EMNG 1001, Circuit Analysis Lab
Page 4
9.
In Table 2, do the theoretically calculated values agree with the measured values? Comment on
the differences.:
The theoretical values I calculated for my circuit differ slightly from my measured
values by a .1 difference.
Table 2 Analysis and measurement results of the circuit of Figure 4.
Parameter
Calculated Values
Measured Values
R
T
(
k Ω
)
13.54
KΩ
13.49
KΩ
I
T
(
mA
)
8.86 mA
8.83 mA
V
R
1
(
V
)
19.2 V
19.0 V
V
R
2,3
(
V
)
13.82 V
13.80 V
V
R
4
(
V
)
7.84 V
7.82 V
I
R
2
(
mA
)
2.99 mA
2.97 mA
I
R
3
(
mA
)
2.48 mA
2.46 mA
Part 2 Procedure
1.
Using the resistors from Table 1, construct the combination circuit shown in Figure 5. Adjust the
DC power source to 12 V.
Ali A. Hussein, Ph.D., P. Eng.
EMNG 1001, Circuit Analysis Lab
Page 5
Figure 5 Experimental combination circuit of Part 2.
2.
Measure the DC source voltage as it is applied to the circuit:
V
s
=
¿
……………12.4……………..
3.
Utilizing the measured values of the resistances as in Table 1 and the measures supply voltage as
in step 2 of this part, theoretically analyze the combination circuit of Figure 5 as follows and fill in
the computed values in Table 3:
a. Replace
R
1
and
R
2
which are connected in series with an equivalent resistance called
R
1,2
. Determine the value of
R
1,2
:
R
1,2
=
R
1
+
R
2
=
¿
………6.78
KΩ
…………………..
b. Replace
R
3
and
R
4
which are connected in series with an equivalent resistance called
R
3,4
. Determine the value of
R
3,4
:
R
3,4
=
R
3
+
R
4
=
¿
…………15.37
KΩ
………………..
c.
Determine the total resistance of the resulted simplified parallel circuit:
R
T
=
R
1,2
R
3,4
R
1,2
+
R
3,4
=
¿
……………4.70
KΩ
……………..
d.
Apply Ohm’s law to find the different currents and voltage drops of the circuit elements:
I
R
1,2
=
V
s
R
1,2
=
¿
………1.76 mA…………………..
I
R
3,4
=
V
s
R
3,4
=
¿
……………………0.78 mA……..
I
T
=
V
s
R
T
=
¿
…………2.55 mA………………..
Ali A. Hussein, Ph.D., P. Eng.
EMNG 1001, Circuit Analysis Lab
Page 6
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
V
R
1
=
I
R
1,2
R
1
=
¿
……………3.81 V……………..
V
R
2
=
I
R
1,2
R
2
=
¿
…………8.11 V………………..
V
R
3
=
I
R
3,4
R
3
=
¿
……………………4.37 V……..
V
R
4
=
I
R
3,4
R
4
=
¿
………7.65 V…………………..
4.
Disconnect the constructed combination circuit of Figure 5 from the DC power supply and use the
DMM as an ohmmeter to verify the total resistance and the resistance of each parallel branch of
the circuit and record the values in Table 3.
5.
Connect the circuit to the DC power supply and using the DMM measure all required voltage
drops and currents as per Table 3.
6.
In Table 3, do the theoretically calculated values agree with the measured values? Comment on
the differences.:
The theoretical values differ slightly with my results by a .4 difference which
most likely was caused by the difference of source voltage.
Ali A. Hussein, Ph.D., P. Eng.
EMNG 1001, Circuit Analysis Lab
Page 7
Table 3 Analysis and measurement results of the circuit of Figure 5.
Parameter
Calculated Values
Measured Values
R
1,2
(
k Ω
)
6.78
KΩ
6.72 KΩ
R
3,4
(
k Ω
)
15.37
KΩ
15.26 KΩ
R
T
(
k Ω
)
4.70 mA
4.74 mA
I
R
1,2
(
mA
)
1.76 mA
1.74 mA
I
R
3,4
(
mA
)
0.78 mA
0.77 mA
I
T
(
mA
)
2.55 mA
2.54 mA
V
R
1
(
V
)
3.81 V
3.32 V
V
R
2
(
V
)
8.11 V
8.19 V
V
R
3
(
V
)
4.37 V
4.35 V
V
R
4
(
V
)
7.65 V
7.64 V
Part 3 Questions & Answers
1.
In your own words, describe what is a combination circuit.:
A combination circuit is a circuit that combines both parallel and series circuits. These types of
circuits are used in many practical ways. One of them being used in the wiring of a household.
2.
What is the definition of an equivalent circuit:
A equivalent circuit is the theoretical version of a practical circuit, An equivalent circuit has
values which are possible approximations of measurements
the actual circuit would have.
3.
What is the purpose of an equivalent circuit?:
The purpose of an equivalent circuit is to give the
creator of the circuit an idea of how the practical circuit should operate with the theoretical
values the person calculated for resistance, voltage and current.
4.
Apply KCL to the measurement results of Table 2 for the circuit of Figure 4.
Current I(R1) (calculated) = V(R1) / R1 = 19.0 V / 13.54 kΩ = 1.404 mA
Now, applying KCL to Node A:
IT + I(R2) = I(R1)
-8.83 mA - 2.97 mA = -1.404 mA
-11.80 mA = -1.404 mA
Node B (B):
At Node B, the currents entering the node are:
Current I(R2) (measured) = 2.97 mA (negative sign because it enters the node).
Current I(R3) (measured) = 2.46 mA (negative sign because it enters the node).
The currents leaving the node are:
No other components are connected between nodes B and C.
Ali A. Hussein, Ph.D., P. Eng.
EMNG 1001, Circuit Analysis Lab
Page 8
Applying KCL to Node B:
I(R2) + I(R3) = 0
-2.97 mA - 2.46 mA = 0
-5.43 mA = 0
At Node C, the current entering the node is:
Current I_(R_3) (measured) = 2.46 mA (negative sign because it enters the node).
The currents leaving the node are:
Current I(R4) (calculated) = V(R4) / R4 = 7.82 V / R4
I(R4) = 7.82 V / 13.54 kΩ = 0.579 mA
Applying KCL to Node C:
I(R3) = I(R4)
-2.46 mA = 0.579 mA
5.
Apply KVL to the measurement results of Table 2 for the circuit of Figure 4.
KVL equation for Loop 1:
V(R1) - V(R2,3) - V(R_2) = 0
Substituting the measured and calculated values:
19.0 V - 13.80 V - V(R_2) = 0
Now, solve for V(R_2):
V(R2) = 19.0 V - 13.80 V = 5.20 V
KVL equation for Loop 2:
V(R2) - V(R2,3) - V(R3) - V(R4) = 0
Substituting the measured and calculated values:
5.20 V - 13.80 V - V(R3) - 7.82 V = 0
Now, solve for V(R3):
V(R3) = 5.20 V - 13.80 V - 7.82 V = -16.42 V
Ali A. Hussein, Ph.D., P. Eng.
EMNG 1001, Circuit Analysis Lab
Page 9
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
6.
Apply KCL to the measurement results of Table 3 for the circuit of Figure 5.
Node 1 (junction between R1 and R2):
I(R1,2) = 1.74 mA (measured)
I(R3,4) = 0.77 mA (measured)
IT = 2.54 mA (measured)
KCL at Node 1: 1.74 mA + 0.77 mA - 2.54 mA = 0.97 mA
I(R2) = 8.19 V / 6.72 kΩ = 1.22 mA (approximated using the measured V(R2) and R1,2)
I(R3) = 4.35 V / 15.26 kΩ = 0.28 mA (approximated using the measured V(R3) and R3,4)
Now, let's apply KCL at Node 2:
KCL at Node 2: I(R2) - I(R3) = 1.22 mA - 0.28 mA = 0.94 mA
IT = 2.54 mA (measured)
Now, let's apply KCL at Node 3:
KCL at Node 3: IT - I(R4) = 2.54 mA - 0.77 mA = 1.77 mA
7.
Apply KVL to the measurement results of Table 3 for the circuit of Figure 5.
Loop 1 (R1, R2, and voltage sources):
V(R1) = 3.32 V (measured)
V(R2) = 8.19 V (measured)
KVL around Loop 1: V(R1) + V(R2) - V(R1,2) = 3.32 V + 8.19 V - 4.70 V = 6.81 V
Loop 2 (R3, R4, and voltage sources):
V(R3) = 4.35 V (measured)
V(R4) = 7.64 V (measured)
KVL around Loop 2: V(R3) + V(R4) - V(R3,4) = 4.35 V + 7.64 V - 4.74 V = 6.25 V
Loop 3 (R1, R3, and voltage sources):
V(R1) = 3.32 V (measured)
V(R3) = 4.35 V (measured)
KVL around Loop 3: V(R1) - V(R3) - V(R1,2) = 3.32 V - 4.35 V - 4.70 V = -5.73 V
Ali A. Hussein, Ph.D., P. Eng.
EMNG 1001, Circuit Analysis Lab
Page 10
Related Documents
Related Questions
A computer's power supply converts mains AC to low-voltage regulated DC power for the internal components of a computer. You are building a new computer. You are deciding which type of power supply to install.
Which of the following definitions BEST describes a valid type of power supply?
Correct Answer:
A single-rail power supply provides one rail (PCB trace). This provides the best safety for the computer by providing a single point of shutdown in the event of a short circuit.
Correct Answer:
A single-rail power supply provides one rail (PCB trace) used to always provide equal wattage to all devices attached to the power supply.
Correct Answer:
A dual-rail power supply provides separate rails (PCB traces) used to provide equal wattage to the devices attached to each rail.
Correct Answer:
A dual-rail power supply provides separate rails (PCB traces) used to balance the power load between multiple circuits, which prevents any one circuit from becoming overloaded.
arrow_forward
please answer all questions and give me a sample ansowers
1. What code sets standards for electrical installation work?
2. What authority enforces the requirements set by the NEC?
3. Does the NEC provide minimum or maximum standards?
4. What do the letters “UL” signify?
5. What section of the NEC states that all listed or labeled equipment shall be installed or used in accordance with any instructions included in the listing or labeling?
6. When the word “shall” appears in a NEC reference, it means that it (must)(may) be done. (Underline the correct word.)
7. What is the purpose of the NEC?
arrow_forward
As an electrical and electronic engineer, your manager has asked you to write a report for the attention of new employees, listing and describing the operation of safety devices that are commonly found offices and other industrial situations. The report should include all of the details in the task below.
Task
For the following application, list two electrical safety devices that can be used, and describe their operation:A Star delta starting induction motors
arrow_forward
Sir, I need more details. Thanks
arrow_forward
36. Electrical explosions directly into the face of a person working on or near energized
electrical equipment can and will cause serious injury or death. OSHA laws and NFPA
70E have strict safety requirements for working on electrical equipment. The basic rules
are to turn off the power before working on the equipment and to wear the proper type of
nonflammable clothing. To further provide safety for the worker, the National Electrical
Code has a requirement pertaining to arc-flash hazard warning. This requirement is
found in
a. 110.16 (A)
b. 220.1
of the NEC
C. 330.1
d. 410.5
arrow_forward
Ohm's Law states that the electric current flowing though a ________ is directly proportional to the ________.
Select one:
a. closed circuit --- total resistance
b. closed circuit --- switch resistance
c. open circuit --- supply voltage
d. closed circuit --- supply voltage
arrow_forward
Q4. Explain the operating principle of the circuit breaker and list the merits and demerits of the
following circuit breakers: (10 Mark)
(i) Air circuit breaker
(ii) Oil circuit breaker
(iii) SF6 circuit breaker
(iv) Vacuum circuit breaker
arrow_forward
Please answer with detail and how it is done. Photo is attached with the questions.
arrow_forward
Please answer in typing format
arrow_forward
Four electricians are discussing wiring under raised floors in information technology equipment rooms. Electrician A says that wiring under the raised floor requires fire-resistant walls, floors, and ceilings between other occupancies. Electrician B says that wiring under the raised floor requires fire resistant halfway up the walls and floors between other occupancies. Electrician C says that the room must employ a disconnecting means that removes half of the power to all equipment in the room. Electrician D says that a disconnecting means isn't necessary for the room. Which of the following statements is correct?
A. Electrician B is correct.
B. Electrician D is correct.
C. Electrician A is correct.
D. Electrician C is correct.
arrow_forward
The subject is: Different Types of Energy Storage System
Please send the answer by typing ONLY. I don't want any handwritten.
Question:
3. What are the advantages and disadvantages of Flywheel system?
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you
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,
Related Questions
- A computer's power supply converts mains AC to low-voltage regulated DC power for the internal components of a computer. You are building a new computer. You are deciding which type of power supply to install. Which of the following definitions BEST describes a valid type of power supply? Correct Answer: A single-rail power supply provides one rail (PCB trace). This provides the best safety for the computer by providing a single point of shutdown in the event of a short circuit. Correct Answer: A single-rail power supply provides one rail (PCB trace) used to always provide equal wattage to all devices attached to the power supply. Correct Answer: A dual-rail power supply provides separate rails (PCB traces) used to provide equal wattage to the devices attached to each rail. Correct Answer: A dual-rail power supply provides separate rails (PCB traces) used to balance the power load between multiple circuits, which prevents any one circuit from becoming overloaded.arrow_forwardplease answer all questions and give me a sample ansowers 1. What code sets standards for electrical installation work? 2. What authority enforces the requirements set by the NEC? 3. Does the NEC provide minimum or maximum standards? 4. What do the letters “UL” signify? 5. What section of the NEC states that all listed or labeled equipment shall be installed or used in accordance with any instructions included in the listing or labeling? 6. When the word “shall” appears in a NEC reference, it means that it (must)(may) be done. (Underline the correct word.) 7. What is the purpose of the NEC?arrow_forwardAs an electrical and electronic engineer, your manager has asked you to write a report for the attention of new employees, listing and describing the operation of safety devices that are commonly found offices and other industrial situations. The report should include all of the details in the task below. Task For the following application, list two electrical safety devices that can be used, and describe their operation:A Star delta starting induction motorsarrow_forward
- Sir, I need more details. Thanksarrow_forward36. Electrical explosions directly into the face of a person working on or near energized electrical equipment can and will cause serious injury or death. OSHA laws and NFPA 70E have strict safety requirements for working on electrical equipment. The basic rules are to turn off the power before working on the equipment and to wear the proper type of nonflammable clothing. To further provide safety for the worker, the National Electrical Code has a requirement pertaining to arc-flash hazard warning. This requirement is found in a. 110.16 (A) b. 220.1 of the NEC C. 330.1 d. 410.5arrow_forwardOhm's Law states that the electric current flowing though a ________ is directly proportional to the ________. Select one: a. closed circuit --- total resistance b. closed circuit --- switch resistance c. open circuit --- supply voltage d. closed circuit --- supply voltagearrow_forward
- Q4. Explain the operating principle of the circuit breaker and list the merits and demerits of the following circuit breakers: (10 Mark) (i) Air circuit breaker (ii) Oil circuit breaker (iii) SF6 circuit breaker (iv) Vacuum circuit breakerarrow_forwardPlease answer with detail and how it is done. Photo is attached with the questions.arrow_forwardPlease answer in typing formatarrow_forward
- Four electricians are discussing wiring under raised floors in information technology equipment rooms. Electrician A says that wiring under the raised floor requires fire-resistant walls, floors, and ceilings between other occupancies. Electrician B says that wiring under the raised floor requires fire resistant halfway up the walls and floors between other occupancies. Electrician C says that the room must employ a disconnecting means that removes half of the power to all equipment in the room. Electrician D says that a disconnecting means isn't necessary for the room. Which of the following statements is correct? A. Electrician B is correct. B. Electrician D is correct. C. Electrician A is correct. D. Electrician C is correct.arrow_forwardThe subject is: Different Types of Energy Storage System Please send the answer by typing ONLY. I don't want any handwritten. Question: 3. What are the advantages and disadvantages of Flywheel system?arrow_forward
arrow_back_ios
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,