Mechanical and Electrical Assignments

Mechanical and Electrical Assignments 1
MECHANICAL AND ELECTRICAL ASSIGNMENTS
A Research Paper By
Student’s Name
Name of the Professor
Institutional Affiliation
City/State
Year/Month/Day

Mechanical and Electrical Assignments 2
Task 1
Describe, using diagrams, the principle of operation of Faraday’s Law (electro-magnet
Induction)
Faraday’s Law of electro-magnetic induction describes how electric current generate magnetic
field and the changing magnetic field produces an electric current in a conductor. The apparatus
below can be used to demonstrate the Faraday’s Law of induction:
When the switch is closed, a field of magnet is generated in the coil of the upper section of ring
made of iron and then conveyed to the coil on the bottommost section of the ring. The induced
current in the separate coil is detected and measured by the galvanometer. The variation in the
field generated by the top coil induces an Electromagnetic Force (EMF) and hence a current in
the bottom coil. When the switch is closed and opened, the galvanometer detects current in the
reverse direction. The detected current in the galvanometer is as a result of induced EMF through
change in the magnetic field. Opening and closing the switch induces the current since there will
be a change in magnetic field which will generate current.
2. List, at least 5 practical applications of electro-magnetic induction

Mechanical and Electrical Assignments 3
i. Graphics tablet: This is a computer input device that enables a user to draw graphics,
animation, and images by the use of hand with a pencil pen-like stylus, just like the same
way a person draws images with a paper using a pencil.
The device is composed of a flat surface onto which the user may sketch an image by the use of a
pen-like apparatus for drawing known as stylus.
ii. Wireless power transfer: This is the transmission of electrical energy without wire
connections or any other physical link. The technologies of wireless power transmission use
time-varying electromagnetic, magnetic, electric fields.
Wireless power transfer is applicable to electrical; devices of power where interconnecting wires
are hazardous, inconvenient, are not possible.

Mechanical and Electrical Assignments 4
iii. Transformer: This is a static electrical device that conveys electrical energy through
electromagnetic induction between two or more circuits. A variations in current in one
transformer coil generates a variation in magnetic field in the second transformer coil.
Power can be transmitted between two coils by the magnetic field without a metallic connection
amongst the circuit.
iv. Electric generator: This is a device that changes mechanical energy into electrical energy to
be used in an exterior circuits. The sources of mechanical energy can be from internal
combustion engines, water turbines, gas turbines, and steam turbines.
The reverse conversion of electrical energy into mechanical energy is performed by electric
motor, and generators and motors have numerous resemblances.
v. Induction motor: This is an AAC electric motor in which the electric current in the rotor
required to generate torque is acquired through EMF induction from the stator winding’s
magnetic field.

Mechanical and Electrical Assignments 5
This induction motor is made without electrically connecting the rotor which can either be
squirrel-cage type or wound type. 701891
3. Compare 3 of the practical applications of electromagnetic induction from Q2 above. Your
comparison should include. Your comparison should include: cost, voltage, power and
efficiency.
Application of
electromagnetic
induction
Type of
application
Cost Voltage Power Efficiency
Graphics tablet Novelty
application
$555 40V 16kW 81% Efficiency
Electric generator Power
generation
application
$3700 2500kVA 16kW 72% Efficiency
Wireless power
transfer
Applied at
work/home
$800 34kV per
centimeter
60W Can transfer power
over distance of
15cm with efficiency
of 90%
Part One Complex Waveforms
1. What was Joseph Fourier’s idea when it came to complex waveforms that occur in science
and engineering?
Joseph Fourier’s theory states that any complex periodic waveform can be disintegrated into a set
of sinusoids with diverse phases, frequencies, and amplitudes. This disintegration process is
known as Fourier analysis and the outcome is a set of frequencies, phases, and amplitudes for

Mechanical and Electrical Assignments 6
every sinusoids that produces the complex waveform. Addition of the sinusoids together again
will generate precisely the initial waveform.
2. What is the Fourier general series and explain each of its’ component parts?
The Fourier general series can be described as a way in which a function can be represented as
the summation of simple sine waves. For a function f(t) of period 2L, the Fourier general series
can be determined as:
Or:
The component parts of the series are the coefficients an and bn and they can be attained by the
formulas:
3. By visual inspection determine which of the following waveforms are even, odd or neither
functions and which contain only even or odd harmonics. Explain the reasoning behind your
answers.