Pj Problems - Overview
The Number Line
7 Spaces Of Interest - Overview
Triadic Unit Mesh
States Of Matter
COHN - Natures Engineering Of The Human Body
The Human-Body Systems
Faith, Love, Charity
The electron is existentially indispensable. It is at the heart of chemical reactions; and the electrical energy that propelled humans into their unique technological sphere of influence. The electron will also play a fundamental role in homo -sapiens series' journey towards infinite intelligence.
Figure 7.7 is an electric circuit of a lab power supply put together in the TECTechnics Lab. Space of interest : S7P1A13 (1' by 1' by 4" container)
(a) Define: (i) electricity (ii) voltage (iii) resistance (iv) electric circuit.
(b) Identify the components of the circuit and their respective functions in the circuit.
(c) What are the three primary stages of the circuit? What are the PjProblem Strings associated with each of the stages? Thus establish the PjProblem String Sequences of the lab power supply.
The strings: all PjProblems at play. However, the following PjProblemStrings are of primary interest:
S7P1A14 (containership - volume)
S7P3A32 - (force-push)
S7P4A41 - (motion - linear)
S7P5A51 - (change - physical)
S7P6A65 - (grouping/interaction - physical)
S7P7A72 - (equilibrium - dynamic)
(ai) Electricity is charge in motion. There are two types of charges: positve (+) charge and negative (-) charge. The unit of measurement of charge is the Coulomb (named after Charles A, Coulomb). In the context of electricity, the charge in motion that is of primary interest is the electron (negative charge, -e = -1.602 x 10-19 C). In particular, the motion of valence electrons of metals called conductors. For example, copper (about 8.5 x 1028 electrons per cubic meter are free to move) and silver are good conductors. In electronics, the concept of holes as positive charges in motion is also of interest. The motion of charge is current. The unit of measurement of current is the Ampere (named after Andre Marie Ampere) and its symbol is i. When the current is a function of time it is represented by i(t).
Technically, i = dq/dt (rate of change of charge with respect to time). In other words, 1 ampere is equal to 1 coulomb of charge moving through a fixed surface in 1 second. There are two types of current: direct current (DC) which flows in one direction; and alternating current (AC) which reverses polarity periodically.
(ii) Voltage is the electromotive force (emf) that moves charges from one point to another in an electric circuit. Voltage is also called potential difference. In other words, an electric energy with the capacity to do work under appropriate conditions. This energy is a consequence of the charge fields (electrostatic fields) of charges which exert attractive and repulsive forces. When one charge differs from another a potential difference is established between them. Electromotive force is the sum of potential differences in an electrostatic field. The unit of measeurement of voltage is the volt (named after Alessandro Volta). Consider points a and b in an electric field. If 1 joule of work is done in moving 1 coulomb of charge from a to b, then point b is at a potential difference of 1 volt with respect to a. In other words, the voltage or potential difference between two points in a circuit is the work done in moving charge from one point to the other.
(iii) Resistance is opposition to current flow. The material opposing the current is called a resistor. The unit of measurement of resistances is the ohm (named after Georg Simon Ohm). Ohm's Law relates voltage, current and resistance as follows:
voltage = current x resistance
(iv) Electric circuit is a current conducting network of connected electrical/electronic components that are being supplied by at least one voltage source. Any branch of an electric circuit is open (no current flows through it) if there is discontinuity in the contections of the branch (a branch is any portion of a circuit with two terminals connected to it). The branch is closed (current flows through it) if the connections are continuous. A short circuit implies zero resistance to current flow and therefore infinite current flow.
(b) Electric/electronic components of figure 7.7
- AC power supply: supplies primary voltage to the circuit
- Fuse (F): monitors magnitude of current flowing. Effects an open circuit if current is above specification.
- Switch (S): on/off switch of the circuit.
- Step-down transformers (T1 and T2) : step down primary voltage to desired secondary voltage.
- Bridge (full wave) rectifier: changes AC to DC
- The following components work together to regulate stepped-down voltage:
- Capacitors (C1, C2, C3, C4). C1
- Resistors (R1, R2, R3, R4, R5, R6, R7, R8)
- Potentiometer (P1 and P2).
- Diodes (D1, D2, D3, D4, D5, D6).
- Bipolar Junction Transistors (Q1, Q2, Q3, Q4,Q5,Q6)
The capacitors, resistors, potentiometer, diodes and BJT transistors are doubled because the regulation circuit consists of two parts, the positive part (above circuit common) and the negative part (below circuit common. Both parts function in similar manner except for the difference in voltage polarity.
(c) Three stages of lab power supply circuit
- Primary voltage stepped down ---------> Rectification of AC ------------>Regulation of desired voltage.
Primary ac voltage: S7P3A32 - (force-push)
AC is set in motion: S7P4A41 - (motion-linears)
Transformers step down primary voltage to secondary voltage: S7P5A51 - (change - physical)
Bridge rectifier changes AC to DC: S7P5A51 - (change - physical)
Regulation of voltage stabilizes voltage: S7P7A72 - (dynamic - equilibrium)
The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
Derivation Of The Area Of A Circle, A Sector Of A Circle And A Circular Ring
Derivation Of The Area Of A Trapezoid, A Rectangle And A Triangle
Derivation Of The Area Of An Ellipse
Derivation Of Volume Of A Cylinder
Derivation Of Volume Of A Sphere
Derivation Of Volume Of A Cone
Derivation Of Volume Of A Torus
Derivation Of Volume Of A Paraboloid
Volume Obtained By Revolving The Curve y = x2 About The X Axis
Single Variable Functions
Absolute Value Functions
Equation Of The Ascent Path Of An Airplane
Calculating Capacity Of A Video Adapter Board Memory
Probability Density Functions
Boolean Algebra - Logic Functions
Ordinary Differential Equations (ODEs)
Infinite Sequences And Series
Introduction To Group Theory
Advanced Calculus - Partial Derivatives
Advanced Calculus - General Charateristics Of Partial Differential Equations
Advanced Calculus - Jacobians
Advanced Calculus - Solving PDEs By The Method Of Separation Of Variables
Advanced Calculus - Fourier Series
Advanced Calculus - Multiple Integrals
Production Schedule That Maximizes Profit Given Constraint Equation
Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation
Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions
Derivation Of Heat Equation For A One-Dimensional Heat Flow
The Universe is composed of matter and radiant energy. Matter is any kind of mass-energy that moves with velocities less than the velocity of light. Radiant energy is any kind of mass-energy that moves with the velocity of light.
Composition And Structure Of Matter
How Matter Gets Composed
How Matter Gets Composed (2)
Molecular Structure Of Matter
Molecular Shapes: Bond Length, Bond Angle
Molecular Shapes: Valence Shell Electron Pair Repulsion
Molecular Shapes: Orbital Hybridization
Molecular Shapes: Sigma Bonds Pi Bonds
Molecular Shapes: Non ABn Molecules
Molecular Orbital Theory
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