Why is a 9v battery capable of producing high current but a tesla coil producing thousands of volts can produce very small current?

Question

By Ohm’s law I = V / R. So high voltage should mean high current for constant resistance? Right? I am very confused how this works. Please explain

In: Physics

Answer 1

The formula that actually matters is P = IV. Or rather, P/I = V. Power is constant here, determined by whatever the electrical supply can provide. So you use a step-up transformer to get the current as close to zero as possible, giving you an utterly bonkers voltage.