Apple Pencil 2 isn’t charging.

At the bottom of your question, it appears that you're using an iPad Pro 10.5". Should be that model, it cannot support Apple Pencil 2nd generation (only Apple Pencil 1st gen).

Please identify correctly your ipad:--> Identify your iPad model - Apple Support

That said, if you are able to use a different Apple Pencil, it might mean that your Pencil is defective or its battery is exausted.

Have it checked at an Apple Store or Authorized Service Provider.

Regards

Giulio

This support page may be helpful with pairing and use of the Pencil with your iPad:

Connect Apple Pencil with your iPad - Apple Support

If you continue to experience difficulties, here is one of the better troubleshooting guides:

https://appletoolbox.com/apple-pencil-not-working-heres-our-troubleshooting-guide/

Be aware that if your Pencil has been set-aside for an extended period, unused and uncharged, the Pencil battery may now be irretrievably damaged through deep discharge. In common with all Li-ion batteries, they must always have some level of charge.

It is essential that if you have an Apple Pencil that you charge it regularly - whether used or not - so as to protect the battery from deep-discharge. Do not allow a pencil to remain in low-charge state for any period of time - as the internal battery will fail, rendering the Pencil useless. Setting aside an unused Pencil, for extended periods, is a recipe for premature death of the Pencil battery. A second generation Pencil should be docked with the host iPad whenever it is not being actively used, as this will optimally maintain the Pencil battery.

If the Pencil Battery has failed, the only remedy is to replace the Pencil. If the battery has failed and your pencil is within its one-year warranty, you should look to having it replaced by your retailer or at an Apple Store.

Some reports suggest that gentle warming of the Pencil (such as placing the pencil on a hot water radiator) prior to attempting charging can sometimes resurrect a Pencil battery. Whilst nobody should advocate external heating of any Li-ion battery (this being potentially very dangerous), gentle indirect warming of a tiny battery is unlikely to lead to catastrophic failure. 

I tried the hot tap water on full hot into a cup and filled it to just below the tip gap and left it in for around 15 minutes and now it is back to 100% from max of 14%.

thank you for the help firegriff

I too am having the same issue with my apple pen 2. also I am using iPad Pro 11 second generation and then the same thing as side the other customer, was saying that it won’t register no data whatsoever I called in Apple support they tried to help me fix it it’s not working I did updates it’s not working what do you suggest or what it is I can do question

The battery widget shows my Pencil 1, which I’ve had for a long time and haven’t used in a long time as charging. The Pencil 2, which is brand new, is not charging. It doesn’t pair, unlike the old one, and doesn’t appear on the widget screen.

Amym, where is this widget screen (on what model iPad)?

The different Pencil versions connect in different ways and to different model iPads. There is no overlap.