Phone no charging.
Phone show’s “PC Connection”.
Battery heats up.
Might be the problem in charger or charger’s pin.
It also happens due to the dust present in charging connector of your phone.
Dry soldering of charging pins, you need to re-solder them again. However for that you need to remove metal sheet over charging pins with the help of a heat gun in order to access charging pins for soldering.
Might be due to uneven voltage. It happens due to faulty circuit.
Fuse or Capacitor might also be faulty.
Workaround
It is always great that if workaround methods are able to resolve your charging problems, as none of us wants to go into the hardware of their phone.
Check with any other original Nokia charger.
Clean charging connector of your phone from outside and check.
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Check and replace the battery Charger.
Check and replace the phone’s battery. A fully drained battery won’t charge up.
Check/clean or replace the charging jack connector and the PCB pads.
Trace the charging Ways Marked in below image. If any of track ways is missing just make a jumper with jumper wire.
nokia 603 Charging Ways Problem Jumper Solution