Expressions Of Pj Problems

Pj Problems - Overview

Celestial Stars

The Number Line

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7 Spaces Of Interest - Overview

Triadic Unit Mesh

Creation

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COHN - Natures Engineering Of The Human Body

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Differential Calculus

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Painting

Maximum Zener Diode Power Dissipation

Suppose the components of the Zener diode voltage regulator circuit of figure 121.11(b) have the following values:

V_{s} = 24 V; V_{Z} = 12 V; R_{s} = 50 Ω; R_{L} = 250 Ω;
**(a)** Determine the minimum acceptable power rating of the Zener diode.

Now suppose the values are changed as follows:

V_{s} = 50 V; V_{Z} = 14 V; R_{s} = 30 Ω; P_{Z} = 5 W.
**(b)** Determine the range of load resistances, R_{L} such that the diode power rating is not exceeded.

**The strings**:
S_{7}P_{7}A_{72} (Dynamic Equilibrium).
**The math**:

Pj Problem of Interest is of type *equilibrium* (dynamic equilibrium). The objective of a Zener diode voltage regulator circuit is to maintain a stable (constant) voltage across a load. Even though we are calculating pwer and resistances, the basic objective of stability remains.

The two most important characteristics of a Zener diode are the Zener voltage and the rated power dissipation. Zener diode behaves like any other reverse-biased diode for variable DC V_{s} ≤ reverse breakdown voltage V_{z}. When V_{s} is > V_{z} (occurrence of *avalanche voltage*), Zener diode will conduct current. This transition point is called the *avalanche point*. Zener voltage is kept constant at and beyond the *avalanche point*. So, load connected in parallel to the Zener diode will have a constant load voltage equal to V_{z} as long as V_{s} is > V_{z}.

(a) Now, by Ohm's law
*i _{s}* = (V

So, Zener current,

So, P

However, this is not P

P

In this case,

So, P

So, a 3-W Zener diode will be a safe power rating for the circuit.

(b)

R

So, R

R

So, R

So,R

So, range of allowable resistance is 11.7 Ω ≤ R

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