The nature of USB charging is complicated by the various different USB standards and cable types which makes compatibility of devices, cables and chargers a challenge.
Most chargers use 5v however fast charging can involve increasing this supply voltage to 9v and s triggered by the device essentially negotiating with the charger via the cable.
Over the charging time of the device, you will notice the current slowly reduce to zero as the smart charging circuitry in the device regulates the charging process to avoid device and battery damage.
Most USB 2 device will charge with up to 1amp of current where a fast charge configuration will drive currents over 1amp.
Charger Comparison Technique
Using the USB Charging Troubleshooter device can help identify the normal behaviour of your devices with the correct charger and cables so you can compare device, cable and charger performance.
I used it this way to demonstrate the failure of Fast Charging on a friend's faulty cable for his Samsung phone who had intermittent charging issues.
Damaged Wires
You can also connect the charger to a device via the troubleshooter and by carefully manipulating the cable at each end to identify bad or broken connections which will show up as low voltage or current during charging.
Damaged Device Batteries
Over the charging time of the device, you will notice the current drop. If it stays low or high for longer than the charge cycle and does not retain its charge then it is likely a damaged device battery.
Happy troubleshooting !!