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There is some mistakes in explenation of electric and current. Ohm's Law should be I=U/R where I is current, U is voltage drop in circuit and R is resistance of circuit. Definition for Ampere https://en.wikipedia.org/wiki/Ampere
DS18B20 + ESP8266 with arduino / adafriut or even without. I've seen project like this somewhere on web.One ESP8266 was operating DS18B20 other as reciever and I2C display controller