Unit 14
Electric Forces, Fields and Circuits
14.1
Electric charge
14.2
Coulombs law
14.3
Shell theorems for electrostatics
14.4
Electric field
14.5
Electric field lines
14.6
Shielding and charging by induction
14.7
Electric Circuits
14.1 Electric charge
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PHYS1050 Physics for Engineering
Students
Lecturers: K.S. Cheng
[email protected]; Office: Rm 530, CYP
M.K. Yip
[email protected]; Office: Rm 415B, CYP
1
Contents
8 chapters in Mechanics (K.S. Cheng)  Units and Dimensional Analysis,
Motion of a Particle in One
PHYS1050 Physics for Engineering Students
Assignment 1 (Due date: 14th Feb., 5pm)
Note: For an expedite return of the marked papers, we shall choose to grade 3 questions out of the 6.
You are however required to do them all. I shall announce which questio
Version 2.1
NE03  Faraday's Law of Induction
PHYS1050
/
PHYS1250
Ref. (Staff Use)_
Laboratory Worksheet
Experiment NE03  Faraday's Law of Induction
Department of Physics
The University of Hong Kong
Name: _ Student ID: _ Date: _
Data Log
Experiment 1: Av
Version 2.1
NE03  Faraday's Law of Induction
Laboratory Manual
NE03  Faraday's Law of Induction
Department of Physics
The University of Hong Kong
Aims
To demonstrate various properties of Faradays Law such as:
1. Verify the law.
2. Demonstrate the light
PHYS1050 Physics for Engineering Students
Assignment Four
Due Date: 5:00p.m., April 25, 2017
Note: For an expedite return of the marked papers, we shall choose to grade 3 questions out of
the 6. You are however required to do them all. I shall announce wh
7:
\y
ds
\` t
V
=
F
Work Done by the Efield:
Removal Energy
Q
f
L
d
5
Work Done by the External Agent:
Formation Energy
r (
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PHYS1050 Physics for Engineering Students
Assignment Three
Due Date: 5:00p.m., April 5, 2017
Note: For an expedite return of the marked papers, we shall choose to grade 3 questions out of
the 6. You are however required to do them all. I shall announce wh
Version 1.0
NE03  Faraday's Law of Induction
PHYS1050
/ PHYS1250
Ref. (Staff Use)_
PreLaboratory Worksheet
Experiment NE03  Faraday's Law of Induction
Department of Physics
The University of Hong Kong
Name: _ Student ID: _ Date: _
Remark: Please submi
Chapter 5: Energy & Work
A
variety of problems can be solved with
Newtons Laws and associated principles.
Some problems that could theoretically be solved
with Newtons Laws are very difficult in practice.
These problems can be made easier with other
techn
Electricity and Magnetism
Chapter 10
Electric Potential and Capacitance
Change of Electric Potential Energy
When a test charge
in an electric field E , it experiences a
q0 is placed
force from this field Fe = qoE . When this charge is moved by a small
di
Chapter 1
Units and Dimensional Analysis
Physics (from ancient Greek: physis "nature" ) is a
natural science that involves the study of matter and its
motion through space and time. It is the general analysis
of nature, conducted in order to understand h
PHYS1050 Physics for Engineering Students Test 1, (2nd March 2017)
Name: _ University No.: _
Class: C / D
Answer all questions in section A and section B
FreeFall Acceleration: g = 9.80 m/s2
Section A: There are EIGHT multiple choice questions, each of t
Electricity and Magnetism
Chapter 13
Faradays Law and AC Circuits
EMF Produced by a Changing Magnetic Field
Section 13.1
Faradays Experiment
A primary coil on a iron ring is
connected to a switch and a battery.
A separate secondary coil on the
same iron r
A Review on Set Theory and Basic Calculus
1
Set Theory
This section aims to introduce some fundamental notions in set theory, which are
often used in all branches of mathematics.
Definition 1. A set is a welldefined collection of objects.
The keyword her
Example 1. Assume that X follows the normal distribution N (2, 22). Estimate
the probabilities:
(a) P (X 3); (b) P (X 1); (c) P (1 X 3).
First of all, we note that = 2 and = 2.
(a) Since X 3 is equivalent to Z =
X2
2
32
2
= 0.5, we find from the table tha
4
Moment Generating Functions*
This section is optional.
The moment generating function g : R R of a random variable X is
defined as
g(t) = E[etX ].
Proposition 1. We have g (n)(0) = E[X n] for n = 1, 2, . . .
Proof.
[
tX
g (1)(t) =
tX
dE[e ]
de
=E
dt
dt
Remark 1. For some special condence levels, we have:
For = 0.90, Z0.05 1.645.
For = 0.95, Z0.025 1.96.
For = 0.99, Z0.005 2.58.
Remark 2. The meaning of the C.I.: The C.I. obtained with condence level
has a probability of to cover the unknown mean .
Rema
3
Complex Variables
The imaginary number 1 i is the solution of the equation
x2 + 1 = 0.
This articial i was introduced to answer the above question. But then it results
in many interesting results, beautiful theory and useful applications.
In general a c
12.1
Binomial Distribution
One interesting situation is to obtain x successes in n Bernoulli trials. In fact, an
experiment consisting of independent and identical Bernoulli trials is called a
binomial experiment.
The random variable X that represents the
The following proposition gives an alternative denition of the exponential distribution and is optional.
Proposition 1. A nonnegative random variable X is exponentially distributed with parameter if and only if P cfw_X < t + hX > t = h +
o(h) as h 0, wh
How Things Works (PHYS1055)
Assignment 1
Due Date: 5:00p.m., February 20, 2017
The number in the square bracket is the word limit in your answers. Each question carries 20 marks.
1. There is a product called 55 degree cup, as shown in the figure. When you
How Things Works (PHYS1055)
Assignment 2
Due Date: 5:00p.m., March 31, 2017
The number in the square bracket is the word limit in your answers. Each question carries 20 marks.
1. During winter seasons, farmers usually spray their plants (or fruits) with w