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 law you should be considering is the power law P = I x V.

For a given power, higher current implies lower voltage and vice versa. Many circuits are POWER limited or constrained.

EDIT: Think of it this way. You can carry a heavy bucket slowly (low current) up a steep hill ( high voltage) or you can carry that bucket far quicker (more current) up a shallower slope (low voltage)