I googled "the contact draws in electricity" and found 0 result, yet it seems something you would read in an engineering paper or journal. I couldn't find anything. Is there a more idiomatic way of saying this?
The contact draws in electricity from the battery and draws it out to the rest of the electronic device.
The contact draws in energy from the battery and powers the electronic device.
I can't think of any other way to say this that sounds more idiomatic. "Suck in" might work, but it's informal and even less idiomatic sounding.