Hello. Please see the attached picture first. For typical battery (nothing but capacitor), current direction is clear as electrons can't not flow across the two plates in battery so they only choose wire as a path from cathode to anode. But in transformer (+ and - sign represents voltage at instant time), I guess electrons can choose coil as a flow path since coil itself is connected conductor. Maybe it is more favorable as it is short path from cathode to anode. The Ohm's law on resistor forces me to think that current path should be the same to case of the battery but It doesn't physically convince me. How we can determine current direction and why?