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4hv.org :: Forums :: Electromagnetic Projectile Accelerators
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Railgun Equations and Inductance gradient

Move Thread LAN_403
youngcoilgunner
Sat Nov 15 2008, 05:36PM Print
youngcoilgunner Registered Member #1633 Joined: Tue Aug 12 2008, 04:21AM
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Posts: 45
I have heard time and time again that the force experienced by a projectile is governed by the equation 1/2L'I^2.
To create a simplified but still accurate mathematical model of railgun force with respect to time, I took the equation Vc/E = e^(-t/RC), solved it for Vc: Vc = Ee^(-t/RC), and then used V = IR to solve for I:
I = Ee^(-t/RC) / R. my first question is, If i incorporate this statement in place of I in the force equation, will this give me an accurate statement for force with respect to time?

Measuring L' in my gun proved to be impossible, but a rough estimate left the figure at a gain of around 41.1 nH, with a total bank and rail maximum inductance of 181 nH. The inductance gradient was then calculated to be approximatly 2.022X10^-8. This puts a real dampener on the total impulse achievable in this gun. As I am unable to acquire more capacitors as of now, I have decided to increase the inductance gradient whilst leaving the rails in the configuration they are. My AP physics teacher reccomended that I encase the rear portion of the rails with laminate Iron, placed around the plexiglass housing. My question is, Is this wise?

attached you will find a picture of the current gun.
1226770577 1633 FT0 N1290801182 30164822 7234
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