P (heat, power whatever) P= V x I (where V is voltage and I is current) it is also calculated as Officerswife said by IE2 x R
One must remember that current (I) is also a time based measurement (the amount of electrons moving past a given point in a period of time)
another analogy is that is not really that accurate but workable in a crude way is Voltage can be considered water pressure, resistance is the diameter an length of the pipe (thickness and length of wire but also material it's made of unlike the pipe analogy) and current can be compared to the amount of water moving through the pipe.
Remember lightning does not totally incinerate of blow up people either despite it's HUGE VOLTAGE (40,000 to 120,000 volts) and 5000 to 20,000 amperes sometimes 100,000 to 200,000 amperes but despite that is so brief (think stun gun) that although it can and does kill it is often survivable.
A higher resistance does not have as much effect on power (heat) as a higher current (amperes) the square root of the current has a much more profound effect on the formula P = IE2 x R raising the resistance lowers the current for any given voltage and LOWERING THE RESISTANCE INCREASES THE CURRENT FOR ANY GIVEN VOLTAGE (DON'T FORGET THIS)
A sure way to fry a circuit and make lots of smoke and flames is to lower it's resistance to a point where the circuits rating cannot handle the amount of current running through it (otherwise known as a short circuit) or to increase the voltage to a point that it pushes more current through the circuit than it can handle (I call it plain old frying)
So if that lightning strike was not so brief a lower resistance object such as an airplane would pop into a big puff of molten metal, sparks, and smoke as well as most other things because it has a huge amount of voltage generated and as a result pushes more current than most things can handle but thankfully despite its violent effects such a blasting every stitch of clothing off someones body it is brief and most lethal effects are due to cardiac arrhythmias.
I feel so high and mighty giving you guys an ohms law lesson don't all thank me at once. I am just kidding you know that right ?