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Dynamic Current Density In order to keep things as simple as possible we're going to begin by looking at the dynamic current density of an air cored coil. This analysis will only use the self induced voltage of the coil and will not consider the induced voltage generated by the projectile. The first thing we need to do is establish how we are going to rate a coils dynamic current density. One way to do this is to look at the largest possible dJ/dt at turn on. We will make use of the inductance equation which gives us the inductance in terms of the coil dimensions and number of turns.
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