Active stylus with wireless charging

A system comprising:

• a charger comprising a wireless charging transmit coil;
• and
• an active stylus comprising:
• a core comprising:
• a main cylinder having a first end, a second end;
• a first supplemental cylinder disposed at the first end of the main cylinder and having a diameter that is larger than a diameter of the main cylinder;
• a second supplemental cylinder disposed between the first supplemental cylinder and the second end of the main cylinder and having a diameter that is larger than the diameter of the main cylinder;
• and
• a wireless charging receive coil configured to transduce flux of a magnetic field generated by the wireless charging transmit coil into electrical current, wherein the wireless charging receive coil is positioned around a longitudinal axis of the main cylinder of the core and between the first supplemental cylinder and the second supplemental cylinder.