Asking about batteries, I would never recommend to work or make a coild without a person to guide you. No one in their right mind well tell you to work with that. But I have a nice video to show you with Tesla's wireless basics in modern aplications.
As far as i know, it is Not possible to use a ebi for energizing a usual tesla coil.
While in college Nikola Tesla claimed it should be possible to operate an electrical motor without sparking brushes. He was told by the professor that such a motor would require perpetual motion and was therefore impossible. In the 1880's he patented the alternating current generator, motor, and transformer.
When building a Tesla coil, one transformer is required to complete it. If you want to build the power by adding up another transformer to the coil, I would advice you to go by the plan established before by Nikola Tesla that was brought down in generations. First, building a coil, is something you shouldn't do if your electrical experience or knowable is not advanced.
Nikola Tesla's best invention would have to be the Tesla coil.
Possible alternator problem
A battery swap would run between $60-80 USD. Keep in mind though that you will need to switch it back on a return trip, or have to essentially buy a battery pack. Battery packs run for $30,000, pre-paid versions around $12,000.
it would be possible if you were a genius like albert einstein
No, why would you even think that is possible?
I am going to say NO.... Although it would be possible if you purchase a transformer (with the correct wattage rating) to reduce the voltage from 480 to 120.
Silk shirts, plain white, were the only kind Tesla would wear.
Yes, first find out how many volts you need on the output. For example, I'll go with 240V for a step up transformer. You would want to put some 10-14 guage wire on the secondary of the transformer, at around 240-250 turns on the transformer. If you can fit thicker wire, then it'll handle more current, but it may blow a fuse once you get such a big transformer.
Possible causes include a weak battery, battery connections, and a failed starter.