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ASSESSMENT ACTIVITY FRONT SHEET Learner name Course title BTEC Higher National Diploma in Mechanical Engineering - VT720 Assessor name Internal Verifier name Date Unit number and title 2. Engineering...

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ASSESSMENT ACTIVITY FRONT SHEET

Learner name
Course title	*BTEC Higher National Diploma in Mechanical* *Engineering -* VT720
Assessor name
Internal Verifier name		Date
Unit number and title	*2. Engineering Science –* L/601/1404
Assignment title	*A02: ‘DC and single phase AC theory’*
Group work	NO
Outcome number(s) and statement(s)	3) Be able to apply DC theory to solve electrical and electronic engineering problems. 4) Be able to apply single phase AC theory to solve electrical and electronic engineering problems.
Date set		Hand-in date
Review dates	1	2	3

Learner declaration

*I confirm that the work submitted for this assignment is my own.*
Learner signature	Date

Introduction

Purpose/aims	This assignment provides the student with the opportunity to acquire knowledge of a range of engineering problems related to DC theory and single phase AC theory.
Background or scenario	You are a new employee in an Engineering Company working as a trainee Mechanical Engineer. Your employer has asked you to do the following tasks in order to pass results to Senior Engineers to manufacture various mechanical parts for some clients. You are also asked to prepare a computer – processed assignment report. No hand-written work will be accepted.

Task #	Task	Criteria covered
1	Solve the following problems: Using Kirchhoff’s laws, calculate the unknown currents (I1, I2, I3, I4, I5, I6) and unknown voltages (V1, V2, V3, V4, V5, V6) in the circuit below: Where: E1=150V, E2=230V, R1=R3=1?, R2=0,5?, R4=6?, R5=10?, R6=20?	3.1
2	Solve the following problems: 2a) Use the principle of superposition to calculate the current IX through the 23? resistor in the circuit below. 2b) Using Thevenin’s theorem calculate the current through the RL and the voltage across the RL in the circuit below.	3.2

3	Solve the following problems: 3a) A capacitor of 2000µF is charged to 12V and then a resistor of 5? is connected across it. i) Calculate the charge stored. ii) Calculate the energy stored. iii) Calculate the time constant. iv) Calculate time taken to discharge to 1V. 3b) An inductor with inductance 60mH and resistance 0,7? suddenly has 2V connected across it. i) Calculate the time constant. ii) Calculate the steady state current. iii) Calculate the energy stored and power dissipated. iv) Calculate the time taken for the current to rise to 0,5A.	3.3
4	4a) Recognise the complex voltage expression given by va=100sin?t+30sin3?t	4.1

4b) Recognize the complex current expression given by ia=10sin?t+4sin2?t

For the above complex waveforms explain how they are produced from sinusoidal wave forms.
5	Apply AC theory to solve problems on R,L,C circuits and components. 5a) In a parallel R, L, C circuit, R=75k?, L=5µ? and C=0,2nF . The voltage supply is 0,5V at 2MHz. Calculate i) the admittance, ii) the impedance of the circuit, iii) the current and the phase angle. 5b) A series circuit has L=60mH, R=15? and C=15nF. The supply is 2V ac. Calculate: i) the resonance frequency. ii) the voltage over each component. iii) the Q factor for the capacitor and inductor at resonance.	4.2
6	Apply AC theory to solve the following problems: A 10/1 step down transformer has a full load secondary current of 50A and is rated at 30kVA. The copper loss at full load is 280W. The primary winding has a resistance of 0,25?. The core losses are 120W. i) Calculate the resistance of the secondary coil and the power loss in the secondary coil. ii) Calculate the efficiency at the rated load when a power factor of 0,92 exists.	4.3

7	What assumptions have you made for your answer in tasks 1?	M1
8	What information has been synthesized for your answer to the task 6?	M2
9	Coherently present and communicate work using technical language accurately. Provide the appropriate sketches for all tasks.	M3

005_75hc5k-q4igfujl.docx

Answered Same Day Dec 22, 2021

Robert · Accepted Answer

Project Report 
Introduction:  
This project is to provide the basic understanding of DC and AC circuits in electrical 
engineering uses. This work will give a problem solving skill of DC and AC circuits and also 
deals with the series resonance circuits. Use of KCL and KVL is studied and important results 
are observed and demonstrated. Superposition Theorem and Thevenin’s theorem are also 
used for the demonstration of the ease of calculation by using these equations. Different 
Voltage waveforms are studied for the purpose of learning frequency of signals and 
resultant of summation of ac signals. And finally AC circuits are studied along with 
Transformer for the completion of the basic understanding of the AC and DC circuits.
1. Solve the following problems: 
Using Kirchhoff’s laws, calculate the unknown currents (I1, I2, I3, I4, I5, I6) and 
unknown voltages (V1, V2, V3, V4, V5, V6) in the circuit below: 
 
                                           
 
Where: E1=150V, E2=230V, R1=R3=1Ω, R2=0,5Ω, R4=6Ω, R5=10Ω, R6=20Ω 
Solution: 
Applying KCL in Loop1 we get 
             (     )     (     ) 
Applying KVL in loop2 we get 
              (     )     (     ) 
Similarly applying KVL in loop3 we get,
            (     )     (     ) 
Solving above three equations we get, 
I1=-15.56 A 
I2=22.5 A 
I3=3.65 A
Component Current through it Voltage across it 
R1 I1=-15.56 A -15.56 V 
R2 I1-I2=-38.06 A -19.03 V 
R3 I2=22.5 A 22.5 V 
R4 I1-I3=-19.21 A -115.26 V 
R5 I3-I2=-18.85 A -185.5V 
R6 I3=3.65 A 73 
Note: Negative sign in current and voltage only indicates that the direction assumed 
initially for problem solving is opposite to the actual current direction. 
Solve the following problems:

ASSESSMENT ACTIVITY FRONT SHEET Learner name Course title BTEC Higher National Diploma in Mechanical Engineering - VT720 Assessor name Internal Verifier name Date Unit number and title 2. Engineering...

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