pencil problems

No details here of either your iPad model - or your Pencil.

If the inner (metal) transducer of the Pencil has been damaged, you will require a new Apple Pencil. If only the plastic tip is damaged, then replacing the tip may restore normal operation. Tip replacement will not resolve a damaged transducer.

The transducer is a fragile component. If damaged, it is very likely that the Pencil will now be wounded or broken. Other than the replaceable plastic tip, the Pencil has no serviceable parts.

Here is one of the better troubleshooting guides for the Apple Pencil - that may be helpful in working through common issues.

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

If you have checked through potential issues using the linked troubleshooting guide, then your Apple Pencil may be displaying symptoms of a dead battery - that will not accept or hold any charge.

Assuming that you do not have any other iPad charging issues - whilst the Pencil is docked/connected with your iPad, verify that the Pencil is recognised:

Settings > General > About

Scroll to the bottom of the page - and you should find an entry for the Pencil. Finding this suggests that the Pencil electronics are good and that the Pencil has paired.

While still docked with the iPad, check the Battery Widget for the charge status of the Pencil. Is it 100%? If not, let the Pencil charge; if it is fully charged, disconnect from the iPad. 

When disconnected from iPad, does the Pencil disappear from the Battery Widget - or it’s indicated state of charge suddenly fall? If either of these are true, then the Pencil battery is likely to be dead.

The tiny internal Li-ion battery is susceptible to permanent/irreversible damage through being left discharged for long periods. Even some “new” pencils can exhibit signs of failure out-of-the-box if they are “old stock”. 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 long periods often results in almost certain death of the battery. Whenever the second generation Apple Pencil is not being actively used, it must be kept docked to the edge of the iPad, as this will optimally maintain and protect the Pencil battery from irreparable damage.

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

If the Pencil Battery won’t accept charge, reports suggest that gentle warming of the Pencil (such as a hot water radiator) prior to attempting charging of the Pencil can resurrect a Pencil battery. Whilst nobody should advocate external heating of any Li-ion battery (this being potentially very dangerous), gentle external heating of a tiny battery is unlikely to lead to catastrophic failure.