When you bring a coil close to a wire carrying electric current, electricity flows through the coil as well.

Literal

Electric-current [subject-が] flow wire [to-に] coil [object-を] bring-close-[when-と], coil [to-に][also-も] electricity [subject-が] flows.

A physics sentence about electromagnetic induction. 電流が流れる電線 is a relative clause: 'wire through which current flows.' 近づける is the transitive form of 近づく — 'to bring close' (vs. 'to approach'). The ~と conditional marks a natural, repeatable consequence: 'when you do X, Y happens.'