Dahlgren Division Naval Surface Warfare Center · Dahlgren Division Algebra II, NSWC Dahlgren, And...
Transcript of Dahlgren Division Naval Surface Warfare Center · Dahlgren Division Algebra II, NSWC Dahlgren, And...
The Leader in Warfare Systems Development and Integration
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
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NSWCDD STEM Outreach Program
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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
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What is NSWC Dahlgren, Anyway?
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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
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My Naval Engineering Career
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Algebra and Electromagnetics
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Algebra and Electromagnetics
Let’s use Algebra to discuss forces between electrical charges
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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
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Algebra and Electrostatics
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?
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Algebra and Electrostatics
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
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Algebra and Electrostatics
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
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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
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Complex Fields Demo
More complex geometries rapidly go beyond what we can handle with algebra…
We need calculus and, perhaps, high-end computer systems
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The fun part is…