Page 32 - 15 Dangerously Mad Projects for the Evil Genius
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Chapter 1    ■  Coil Gun     13


                                                             To do this, we can use the formula:

                                                                                    2
                                                                            E   (mv )/2
                                                             Where m is the mass of the projectile in
                                                           kilograms, and v is the velocity in meters per
                                                           second.
                                                             My projectiles weigh approximately 0.3 g and
                                                           the best velocity I got was 15m/s. This velocity is
                                                           actually the average velocity of the projectile’s
                                                           flight to the test target, which will be a little less
                                                           than the muzzle velocity, but it is probably close
                                                           enough not to matter much.
                                                             So, the energy transferred from the capacitors to
         Figure 1-23   Close-up of the end stop
                                                           the projectile is:
                                                                   (0.0003   15   15)/2, or 0.033
        Theory                                               This means that the efficiency of our coil gun is:

                                                                      0.033/23, or 0.14 percent
        Coil guns are remarkably inefficient. You are doing
        well if 1 or 2 percent of the energy in the          Not brilliant. So where does all the energy go?
        capacitors is converted into kinetic energy of the   Some of the energy is lost because the projectile
        projectile. If you can weigh your projectile, or   is first pulled into the coil, and then if the magnetic
        perhaps weigh a few of the nails it is made from,  field has not disappeared before it passes the center
        and then do the math, you can calculate the        of the coil, it will be pulled back into the coil,
        efficiency.                                        slowing it down. The answer to this is to shorten
           The energy stored in the capacitor is calculated  the pulse, which can be done in two ways:
        by the formula:                                    ■  Use fewer capacitors (but this will reduce the
                                  2
                         E   (CV )/2                          input energy).
           Where E is the energy in joules, C is the       ■  Use less turns of wire for the coil (but this will
        capacitance in farads, and V is the voltage.          increase the maximum current, potentially
                                                              destroying the SCR).
           So, for our arrangement of capacitors, the
        energy available for each firing is:                 The geometry of the coil and the type and size
                                                           of the projectile, as well as the material it is made
                 (0.0376   352) / 2   23 joules
                                                           from, all affect performance. Getting the most out
           This is similar in energy to the kinetic energy in
                                                           of your coil gun is very much a matter of trial and
        a .177 air gun. So if we had 100 percent efficiency,
                                                           error and reading about other people’s trial and
        our coil gun would be really quite dangerous.
                                                           error.
           So, now that we know that the “input” energy is
                                                             The Internet offers some great resources on this.
        23 joules, let’s see how many joules of kinetic
                                                           The Wikipedia entry for coil guns is a great
        energy there are in the projectile.
                                                           starting point, as is www.coilgun.info.
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