A little more detail:
Inductive reactance (X[sub]L[/sub]) = 2πf [frequency] * L [inductance in Henrys]
Capacitive Reactance (X[sub]C[/sub]) = 1/ (2πf * C [capacitance in farads])
To add capacitive and inductive reactances:
X[sub]total[/sub]= |X[sub]C[/sub] X[sub]C[/sub]|
Now you may be thinking "wait a minute, if I subtract the reactances, then I could simply set them equal, and not have any reactance at all. Guess what, you can. In fact any combination of capacitance and inductance will cancel out at some frequency. This is called the resonant frequency. The old unpowered crystal radio tuners used this fact: at the resonant frequency there was very zero reactance (and the circuit had very low resistance) the consecutive radio waves could pile up on each other until voila! you get a signal large enough to be audible with those old earplugs.
Adding resistance and reactance is a little more complicated:
impedance= sqrt( Resistance^2 + Reactance^2) [like the Pythagorean theorem]
EXAMPLE:
Using Ohm’s Law, we can calculate that a 1200W resistive heating coil that works ar 120V must have a resistance of 0.1 ohms
That would be DC, not AC voltage, but when we say 120VAC, we mean 120 V RMS - or basically an AC voltage rating that does the same work as 120V DC (it’s actually a sine wave with peak values of +/- 170V)
It’s a pretty good approximation for a heating device.
A Henry is a pretty honking large unit. Almost all electronic inductors are in the range of micro- or milli- Henries. (The powerful magnetic coils of large electric motors or transformers are barely in the Henry range)
Plug that into the reactance equation, and you’ll see that small inductances don’t create much reactance at 50 or 60 Hz. The difference between 50 and 60 hertz is going to be even smaller, and when you add the reactance to the resistance we calculated using the impedance equation, you find it has an even tinier effect.
Most heating coils are a high resistance wire (like Nicrome) inside a non-flammable high temperature insulator like fiberglass or asbestos, and usually sealed in another layer of metal for durability.
I don’t know of any household inductive heating coils that operate directly at 50/60 hz anyway. Low frequencies are inefficient for inductive heating. Inductive heaters usually have special drivers that create a higher frequency AC current - and that’s not cheap.
I’m sure there is some application for an inductive heater at 50/60 Hz, and I’d like to hear about them. I’m drawing a blank.