godan verb (-ku), expression
run by electricity; be electrically powered
Describes a device or machine that operates using electricity. The phrase is a straightforward combination of 電気 (electricity) + で (by means of) + 動く (to move/operate).
このおもちゃは電気で動く。
This toy runs on electricity.
電気で動く車が増えている。
Cars that run on electricity are increasing.
A transparent compound of 電気 (electricity) + で (instrumental particle) + 動く (to move). No special historical derivation.