plz heeeelp : Helmholtz Coils !!?

[mmohaqeqf]

Hi everybody !!
I'm Msc student of mechanics and as you might guess im not very good with electricity. however my thesis requires me to design a Helmholtz Coil !!!
I'm trying to build a Helmholtz coil which is in parallel with a capacitor. I need to supply this circuit with an AC current with the frequency of 500 KHz and maximum voltage of 200 V (or more). The radius of the coils and the distance between the coils are considered to be 30 cm (0.3 m). and finally i need to have magnetic field strength of 10 KA/m in the center of the coils. With this info in hand, I need to know how many turns would I need to have in each coil ? What would be the Inductance of this Helmholtz coil ? What capacitor should I use in order to have resonance in this frequency (500 KHz) ? and what would be the heat created in the process of running this setup for one hour !!??

tnx !!

 

[Laplace]

You can find a commercial manufacturer of Helmholtz cols and a description of their products at:
http://oersted.com/helmholtz_coils_1.shtml
http://www.power-guide.com/pdf/Helmholtz-brochure.pdf

For calculating the field strength refer to the following pages:
http://www.universetoday.com/84140/helmholtz-coil/
http://physicsx.pr.erau.edu/HelmholtzCoils/index.html

Calculating the inductance of a Helmholtz coil seems problematic but can probably be approximated by adapting the equations for air coil design.
http://www.k7mem.150m.com/Electronic_Notebook/inductors/coildsgn.html#Introduction
http://info.ee.surrey.ac.uk/Workshop/advice/coils/air_coils.html
http://www.coilws.com/c_winding_main/Air Coil Inductors.pdf

Heat dissipation in the resistive portion of the equivalent R-L-C circuit can be calculated where R is a function of the wire gauge and wire length. I doubt that skin effect will be much of a factor at only 500 kHz.