Can we do this with batteries? Probably not. The direct current (DC) those batteries supply would maybe, for a very brief amount of time, induce a voltage over the secondary coil, then once the current in the primary coil levels out, there will be no more induced voltage in the secondary coil, and your phone wouldn't charge.
What if we used two AC voltage sources? Maybe. We could try putting those sources in series. Because they're in series, add 1.5V and 1.5V to get a maximum voltage of 3V.
We'll hook up these sources to the primary coil. Why? This equation holds for transformers:
/
=
/
![N_(P)](https://img.qammunity.org/2020/formulas/physics/college/crbc69qgcmwk98gkmg87n39yz2wnodghg3.png)
= voltage of secondary coil,
= voltage of primary coil,
= turns of secondary coil,
= turns of primary coil
Given values:
= 12V (we want the transformer to output 12V to the phone)
= 3V (sum of 2 AC sources)
= 400
= 100
Plug in and check that the math works out:
12/3 = 400/100
4 = 4
All good! This tells us that putting the two 1.5V AC sources in series, then hooking them up to the primary coil is a good idea. The circuit will transform the 3V input voltage to a 12V output voltage which will charge our phone's battery.