Dahlgren Division Naval Surface Warfare Center · Dahlgren Division Algebra II, NSWC Dahlgren, And...

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Naval Surface Warfare CenterDahlgren Division

Algebra II,NSWC Dahlgren,

And You

Mr. Michael D. YoungDirector, Academic EngagementNaval Surface Warfare Center, Dahlgren Division

01 October 2020

NorthumberlandHigh School

Distribution A: Approved for Public Release. Distribution Unlimited

2Distribution A: Approved for Public Release. Distribution Unlimited

NSWCDD STEM Outreach Program


What is NSWC Dahlgren, Anyway?

OrdnanceTesting

Providing capabilities and innovative solutions in the areas ofweapons and sensor systems, and combat systems for over 100 years.

Integrated Training

Test and Evaluation

Advanced Combat Systems

RF/EO/IR/OHDSensors

Naval Automation (AI/ML/Quantum)

Environmental Testing

Integrated WarfareSystems Laboratory

Naval Electric Weapons

Fire ControlSystems

Cybersecurity Engineering

DigitalEngineering


What is NSWC Dahlgren, Anyway?


My path to engineering

Mr. Marvin Sampson,Algebra teacher

“Get out of here, kid!”

US Air Force ROTC

Full ride…

Sometimes things do not work out……frequently, though, setbacks are a

blessing in disguise!

?

…ish


My Naval Engineering Career


Algebra and Electromagnetics


Algebra and Electromagnetics

Let’s use Algebra to discuss forces between electrical charges


Algebra and Electrostatics

Coulombs’ Law: The force between two charges is directly proportional to the size of the charges, and inversely proportional to the square of the distance between them…

q q

r



Key point: why does force vary as 1 / radius squared?Potential energy is conserved

As we increase the radius of a sphere, the amount of energy available is spread out over the entire area of the sphere, which is given by:

So what happens to energy density when radius is changed by k?



Coulombs’ Law … …so what’s an electric field? What’s a Volt?

Electric field is defined as the electric force per unit charge. The direction of the field is taken to be the direction of the force it would exert on a positive test charge. The electric field is radially outward from a positive charge and radially in toward a negative point charge.

Voltage is the potential difference between two points in a field that would impart one Joule of energy to one Coulomb of charge passing between them



Coulombs’ Law … …so what’s an electric field? What’s a Volt?

Voltage is potential energy per unit charge, and electric field is force per unit charge. We can therefore relate voltage and field if we start from the relationship between potential energy and force …

… divide by the charge …

Basic physics – change in potential energy is force times distance

Why? We define voltage as the change in potential energy per unit charge

Why? Recall that electric field is force per unit charge

So for a point charge, electric field should fall off as 1/r2

Voltage between the charge and a point in the field should fall off as 1/r


Conductive Paper / Electrostatic Demo

R = 10 cmV = 20V

If ourmodel is correct, we expect to see:

V(0cm) = 20VV(1cm) = 18VV(2cm) = 16V..V(10cm) = 0V


Complex Fields Demo

More complex geometries rapidly go beyond what we can handle with algebra…

We need calculus and, perhaps, high-end computer systems


The fun part is…

Dahlgren Division Naval Surface Warfare Center · Dahlgren Division Algebra II, NSWC Dahlgren, And...

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