How to charge my 2nd gen Apple Pencil?

The second generation Apple Pencil is charged by placing it on the Magnetic strip on the side of compatible iPad models.

The iPad 10th generation is not compatible with the second generation Apple Pencil, so cannot charge it or use it in any way.

If you haver a 10th Generation iPad, you need a first generation Apple Pencil.

click here ➡️ Apple Pencil compatibility - Apple Support

If you purchased the new 2022 base model 10.9 inch screen iPad 10th gen, you purchased thr wrong version of the Apple Pencil.

The new 10th gen base model iPad uses the original, 1st gen Apple Pencil in conjuction with this new seperate purchase USB-C to Lightning Adapter.

Buy Apple Pencil - Apple

https://www.apple.com/shop/product/MQLU3AM/A/usb-c-to-apple-pencil-adapter

Return that 2nd gen Apple Pencil and purchase a 1st gen Pencil with the USB-C to Lightning adapter, instead.

Sorry & Best of Luck to You!

The tags appended to your post suggest that you have an iPad10.

The second generation Apple Pencil is only compatible with iPad models that feature an inductive/magnetic charging dock that is explicitly designed for pairing/charging the second generation Pencil. 

The iPad10 does not have an inductive charging dock - principally as the front-facing camera has been relocated to the centre of the long-edge of the screen - and now occupies the internal cavity that might otherwise house the inductive charging dock components. As such, the iPad10 instead supports the first generation Apple Pencil that is paired and charged via the iPad’s USB-C port. The second generation Pencil is incompatible with iPad10.

To both pair and charge the first generation Pencil, you must use a special USB-C/Lightning Adapter - this adapter being included within the box of new first generation Pencils. If purchased directly from Apple, a new Pencil will include the adapter. Older stock, purchased from other retailers, may not include the Adapter.

For owners of existing first generation Pencils, or for purchasers of old-stock Pencils, the special adapter is available as an accessory:

• USB-C to Apple Pencil Adapter

https://store.apple.com/uk/xc/product/MQLU3ZM/A