Q. If a non-Jew turns on an electric stove top on Yom Tov, Is one permitted to use it?

A. Most Poiskim maintain that creating fire in Yom Tov (moileed) is only a rabbinic prohibition (see Rashi Shabbat 33,a – O.C.502 and Taz ibid. 1). As far as the usage of electric heating and light during Yom Tov, is subject to Halachick debate, the accepted majority rule is to prohibit rabbinically (see Hachashmal Bechalacha, ch. 5 – also Hachashmal Leor Hachalacha, conclusions).

Yavia Omer (1, O.C. 19 – 2, O.C. 26) allows in need, the use of electricity on Yom Tov, via a Gentile.

Horav Shlomo Miller Shlit”a pointed out, that Mishnah Berurah (O.C. 502,4) permits after the fact, the use of usual common fire that was produced on Yom Tov, regardless if created by Gentile or no.

Rabbi A. Bartfeld as revised Horav Shlomo Miller Shlit”a