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MicroElectEngineerEx2.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. MicroElectrical Engineering Problem example 2. Still no differential equations here, but still much fun. Below is an op-amp operating from +-18 V power supplies fed with a sinusoidal voltage having 3V peak and delivers a sinusoidal voltage output of 10V peak to a 1 kilo ohm load. The amplifier draws a current of 2mA from the positive supply and 1mA from the negative supply. The input current of the amp is found to be sinusoidal with a 0.2mA peak. Find the voltage gain, the current gain, the power gain, the power drawn from the dc supplies, the power dissipated in the amplifier, and the amplifier effi

MicroElectEngineerEx1.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Ok, here's my first MicroElectrical Engineering Problem example. No differential equations here, but still much fun. The input and output signals for an op-amp circuit are shown below. We wish to determine (a) if the op-amp circuit is linear and (b) the circuit gain. Below: solution (a)If the circuit is linear then the output is proportional to the input. Looking at the input-output indicates that between 1.25 ms and 2.5 ms and 4 ms and 6 ms the output is constant, but the input is changing. Thus, here the op-amp circuit is in SATURATION and is NOT LINEAR!! Below: solution (b) Between 0 and

DavesImportantLinks.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Here are some important links associated with other projects that I'm working on ... have fun!!! Avoiding Negativity Trap ... My First Book!! With Forgiveness Jesus .... My Second Book!! The Sixteen Sands ... My Third Book!! Back to Engineering table to Engineering Table Can go to Engin Econ ex1 to Engineer Econ ex1 Back to the D E page to Dif Eq page

ElectEngineerEx1.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Ok, here's my first Electrical Engineering Problem example. It is closely related to the types of physics circuits problems on the Differential Equations table. Using Kirchhoff's Voltage Law (KVL), Kirchhoff's Current Law, and Ohm's Law solve the circuit below. First identify that there is a voltage source Vs, a current controlled current source, a 5 ohm resistor in the first branch, and a 3 ohm resistor in the final branch. There is a known voltage of 20V over the output resistor as well. Our first step is to use Ohm's law to solve for the iy in the output branch: iy = Vo/R = 20V/

EngineerEconEx1.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Ok, here's my first Engineering Economics Example(using Newnan, Eschenbach, and Lavelle) as the resource. A construction aggregate mixture of a substance needs to contain at least 33% of a substance we shall call material A by volume to be correct. A certain source material has 27% material A and 73% course aggregate sells for $5.00 per cubic meter (m^3). Another source which has 42% material A and 58% course aggregate material sells for $8.6 per cubic meter. Determine the least cost per cubic meter of blended aggregates. Let x = portion of blended aggregates $5.00 / m^3 source Let 1-x = portion of

DCJElectricalEngineer.html Hi, it's David again, and it occurred to me (after I took a little vacation) that I needed to extend more deeply in the Electrical Engineering direction. This move will also allow me to extend my math skills in a broader way than just Differential Equations. Thus, ALL OF MY ALGEBRA AND CALCULUS SKILLS can be shown. In order to facilitate this endeavor I am going to need a new table. Thus the new categories are given below. First as always let's pray: Angel of God my Guardian Dear, with whom God's love entrusts thee here. Ever this day be at my side to light and guard and rule and guide!! Guide me Jesus! Amen! Electrical Engineering Table of Topics 1: Electric Circuits 2: MicroElectronics & Engineering Economics 3: MicroElectronics 4: Electric Machinery 5: Control Systems 6: Computer Logic Circuit Resistance(Nodal Loop Analysis) D

circuit_R-L_eqn.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Here we shall use the fact that the equation is separable to get to the solution. First notice in the diagram that we have gotten rid of the capacitor. Thus, we eliminate it from our original equation as well. The equation we get is thus L dI/dt + RI = E. Next we have the separating process with and expression in front of dI and an expression in front of dt. Next in the process is integrating over the variables, dI on the left and dt on the right. After checking the appropriate integral table and doing a little algebra .... .... we then solve for I noting that there are two parts of the equation

circuitRLCdiffeq.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Understanding RLC Differential Equation. (Krantz) * .... Differential Equations for solving Engineering problems. * .... have method that we know to solve these equations. Formulation: Mathematics in physics can be used to make predictions even in the case of electric circuits. This can be shown in the case of periodic motion in particular as in the case of springs or wave motion. Applying the same math to circuits that oscillate can be done as well. When we solved previous differential equations we used the fact that they were Separable. We shall use the same problem solving style in this set

innerHTML.html What was Darth Vader's real name? Rick Anakin Josh push the button You can go to DE Ex2 here... D.E. Ex2. You can go to DE Ex1 here ... D.E. Ex1.

PursuitCurves.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Solving the physics problem pertaining to Pursuit Curves. (Krantz) * .... Differential Equations for solving physics problems. * .... have method that we know to solve these equations. Formulation: Suppose a Destroyer/Warship was to pursue a submarine on a particular prescribed path. What path does the warship use to follow the submarine? Well, looking at the diagram below we see that the submarine begins at the origin and travels up the y-axis with velocity a ft/s. At the same time a warship destroyer travels at speed b ft/s from point (c,0) in pursuit of the sub. What is the destroyer's path

HangingChain.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Solving the physics problem pertaining to the hanging chain. (Krantz) * .... Differential Equations for solving physics problems. * .... have method that we know to solve these equations. So, what is the classic Hanging Chain formulation. What is all that mess below? Well imagine a metallic chain hanging in the middle under the influence of gravity. In architectural terms it's a very important structure and can be mathematically described. It is in fact related to the arch, but upside down. We analyze points A (the midpoint of gravitational attraction) and B (an arbitrarily set point) on the

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monty.php Monty Python quiz results Your name is $name. Your quest is $quest. HERE; print $reply; //determine if she's a witch $witch = false; //See if check boxes exist if(isset($_REQUEST["nose"])){ $witch = true; } if(isset($_REQUEST["hat"])){ $witch = true; } if(isset($_REQUEST["newt"])){ $witch = true; } if ($witch == true){ print " She's a witch! \n"; } // end if ?>

monty.html Monty Python Quiz What is your name? Roger the Shrubber Arthur, King of the Britons Tim the Enchanter What is your quest? To chop down the mightiest tree in the forest with a herring I seek the holy grail. I'm looking for a shrubbery. How can you tell she's a witch? She's got a witch nose. She has a witch hat. She turned into a newt. Submit

movement.html St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. This page is still under construction! Soooo, ......... You can go to DE Ex1 here ... D.E. Ex1. Click buttons to move ball ball left right x = 100, y = 100

MaxwellsEquationsGausslawex1.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Gauss' Law Example 1: Net charge on cube due to external source. What we are shown is a cube in an external electric field. We are asked to prove that the net flux out of the cube is zero due to that external electric field. Easy right? Remember that the geometry of the situation will lead us to the solution of the problem. Think about it! There are six faces on the cube and four of them eliminate themselves immediately! How? Well, remember that the formula asks for the divergence (or dot product) of the two variables E and dA. This means that the important contribution to the flux will be d

MaxwellsEquations.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Maxwell's Equations (integral and differential form) .... Properties: * .... Differential Equations for solving physics problems. * .... have method that we know to solve these equations. Maxwell's Equations Introducing the del operator, that funny little triangle below. What is refers to is the partial derivative of the function in question with respect to a particular variable (x, y, or z) In practice the del operator can be used in two ways depending on whether we are taking the dot product (or divergence) of a function or whether we are taking the cross product (or curl) o

innerHTML.html Text Input Devices Name Email Phone submit You can go to DE Ex2 here... D.E. Ex2. You can go to DE Ex1 here ... D.E. Ex1.

innerHTML.html With what weapon will you fight the dragon? Spoon Flower Wet Noodle fight the dragon You can go to DE Ex2 here... D.E. Ex2. You can go to DE Ex1 here ... D.E. Ex1.

OrthogonalCurves.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Orthogonal Curves .... Properties: * curves belonging to a family of differential equations. * ....a way of going back and forth between equation and family of solution curves. Remember that a family of curves can represent solutions in differential equations. Presented here below are curves that are tangent to the y-axis at the origin. x^2 + y^2 = 2cx the goal is to take derivatives with respect to x on both sides solving the result for 2c (yielding 2x + 2y(dy/dx) = 2c). The resulting equation will yield a term (at least one) with dy/dx. Now take the original equation and solve it in f

ExactEquations.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Exact Differential Equations .... Properties: * .... know what they are right off hand. * .... have method that we know to solve these equations. First order equations can be written of the form: M(x,y)dx + N(x,y)dy = 0 (Krantz) Scientist like to find simpler ways to solve problems, and why shouldn't one method of problem solving help with another. Remember learning about circles in algebra, and that they had the form a^2 + b^2 = r^2? With r referring to radius, a family of curves (circles in this case) is designated by a specific radius. Well, it turns out that, using differential equatio