Expressions Of Pj Problems

Pj Problems - Overview

Celestial Stars

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7 Spaces Of Interest - Overview

Triadic Unit Mesh

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COHN - Natures Engineering Of The Human Body

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Differential Calculus

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Painting

Current Voltage Characteristics Of A Diode

Assume that the diode in figure 9.1 requires a minimum current of 1 mA to be above the *knee* of its i-v characteristic. Let the offset voltage of the diode, V_{γ} = 0.7 V.

(a) What is an i-v characteristic of a diode?

(b) What is the knee of the i-v characteristic?

(c) What value of the resistance R, will establish a current of 5 mA in the circuit?

(d) Given the value of R determined in (c), calculate the minimum voltage that the circuit must provide in order to maintain diode current above the knee.

**The strings**:
S_{7}P_{2}A_{21}
Problems (a) and (b) are identity problems - S_{7}P_{2}A_{21} (identity-physical)

Problem (c) is a force problem - S_{7}P_{3}A_{31} (force - pull)

Problem (d) is a force problem - S_{7}P_{3}A_{32} (force - push)
**The math**:

Pj Problem of Primary Interest (problem (d)) is of type *force* (force- push).

**(a)** i-v characteristic curve of a diode is the graph of the *Diode Equation*:

i_{D} = I_{0}[e^{(qvD/kT)} - 1] (Diode equation)

I_{o} is the reverse saturation current

Where q is the charge of one electron

V_{D} is the voltage across the pn junction of a diode

k is Boltzman's constant = 1.381 X 10^{-23} J/K

T is the temperature of the material in degree kelvins. kT/q is a constant at a given temperature = 25 mV at room temperature.
**(b)** A diode has an *offset voltage* (contact potential). A forward bias diode will not conduct current when the voltage across it is less or equal to the offset voltage. The part of a diode's i-v characteristic where the diode starts to conduct current is the *knee* of the diode.
**(c)** V = 5 V, I = 5 mA = 0.005 A, offset voltage = 0.7 V

So, R = (V - offset voltage)/I = (5 - 0.7)/0.005 = 860 Ω
**(d)** V_{min} > 0.001(860) + 0.7 = 1.56 V.

Math

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 = x^{2} About The X Axis

Single Variable Functions

Absolute Value Functions

Conics

Real Numbers

Vector Spaces

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

Fourier Series

Derivation Of Heat Equation For A One-Dimensional Heat Flow

Homogenizing-Non-Homogeneous-Time-Varying-IBVP-Boundary-Condition

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.

Periodic Table

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

More Pj Problem Strings