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Recently Updated Content

Classification of Polymers

There are three main types of classification:

1. According to the central atom:
• Homochain Polymer: all central atoms are the same in a polymer chain. Ex. Only carbon central atoms.
• Heterochain Polymer: different central atoms. Ex. Central atom can be nitrogen or carbon.
2. According to the type of monomer:
• Homopolymer: only one kind of monomer.
• Copolymer: more than one kind of monomer.
• Terpolymer: more than three kinds of monomers.
3. According to the fashion of the linking:
• Regular Alternating Polymer: ABAB
• Random Polymer: AABBABAABAABBB
• Block Copolymer: AAABBBAAABBB
• Graft Copolymer: when different polymer chains branch off of each other.

Public Topic
16 weeks 4 days ago
ECE 159

An introduction to electric circiuts for engineering science students.

Public Book
31 weeks 6 days ago
ECE 159
Volumetric Thermal Expansion

$\Delta V = \beta V_0 \Delta T$

Public Topic
34 weeks 4 days ago
Diffraction

A single slit can also cause interference much like the two slit interference we have seen previously.

• Constructive interference (maxima) for:$(m+\frac{1}{2}) \lambda = a \sin \theta$
• Destructive interference (minima) for: $m \lambda= a \sin \theta$
Public Topic
1 year 23 weeks ago
Diffraction
Heat Capacity for Constant Pressure and Volume

For constant pressure, C = CP. For constant volume, C = CV. These are related by:

$C_P = C_V + R$

Public Topic
1 year 48 weeks ago
Heisenberg Uncertainty Principle

Describes that if we know the position of a particle to great accuracy, we cannot know the momentum of the particle to great accuracy and vice versa.
$\Delta x p_x \ge \hbar$
$\Delta z p_y \ge \hbar$
$\Delta y p_z \ge \hbar$
$\hbar = \frac{h}{2 \pi }$
There is also analogous uncertainties in energy and frequency:
$\Delta I \Delta t \ge \hbar$
$\Delta \omega \Delta t \ge 1$
You can only determine the probability that a particle will be at a certain place at a certain time.

Public Topic
2 years 17 weeks ago
Free Particle Shrodinger Equation

Free particle waveform is given by:
$\Psi (x) = \psi (x,y,z,t) e_{i\omega t}$
The probability to find a particle in space is the Schrödinger Equation squared over the volume, or:
$P(x,y,z) dV = | \Psi (x,y,z) |^2 dV$
With the normalizatoin such that:
$\int_{-\infty}^{\infty} P(x) dx = 1$

Public Topic
2 years 17 weeks ago
Gauge Pressure

Amount by which the pressure exceeds the atmospheric pressure:
$P_{gauge} = P - P_{atm}$

Public Topic
2 years 17 weeks ago
Gauge Pressure
Linear Thermal Expansion

$\Delta L= \alpha L_{0} \Delta T$

Public Topic
2 years 17 weeks ago
Linear Thermal Expansion
Polar Equation for Conics

With d being the distance to the directrix and $$\theta$$ being the angle to the point P,
$r= \frac{ed}{(r \pm e \cos \theta )}$
or
$r=\frac{ed}{(r± e \sin \theta)}$
where r traces out the curve as  $$r= f( \theta )$$ and e follows an ellipse if  e < 1, a parabola if e = 1, a hyperbola if  e > 1.

Public Topic
2 years 17 weeks ago
Polar Equation for Conics