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What you want is not an "electric furnace", which uses electrical heating elements, but a heat pump per one of the other replies.

Mitsubishi has some that can extract heat from the outside air even down to -30C.

Most though only work down to about +5C (they're used in more temperate climates). So check the specs.

They also work for AC.



The highest BTU heat pump I see is 46,000 - that's not going to be a solution for a lot of homes, which need 30,000 / 1000 sq ft, not to mention loss in efficiency as the heat drops so you're getting less than that when you need it the most.


How much you need to heat/cool a home is more of a function of its level of insulation and air tightness than its mechanical capacity.

It's possible to design house that need almost zero BTUs:

* https://en.wikipedia.org/wiki/Passive_house

When looking at bang-for-buck / value / ROI, better insulation and air sealing should be done first. If you can reduce the number of your blower door test, then you'll have to spend less on running capacity (and their related costs).


Passive houses are cool, but most houses aren't, and can't be retrofitted to fit the requirements.


True, but they show that comfort is possible without crazy mechanical power. Improve your insulation first, and you'll need less BTUs afterwards.




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