Direct answer
In the context of P2P and torrents, “concepts and operation” means understanding how peer discovery, piece exchange, and upload/download scheduling work, and how a VPN changes the path your device takes to reach peers. For diagnosis or configuration, the key idea is that a VPN typically reroutes network traffic from your device to a VPN endpoint, but it does not change the fundamental fact that torrent clients use specific connections and protocols, and it cannot guarantee anonymity, safety, or access.
How it works (concepts)
P2P systems let multiple participants share parts of data. In torrent workflows, a client often contacts trackers or uses peer discovery, then downloads and uploads “pieces” to and from other peers. The client’s operation involves active connections, periodic peer maintenance, and continual upload/download so availability can improve over time.
A VPN sits between your device and the public internet path you would normally use. Practically, that means torrent traffic is carried through a different route, and any network observer between you and the VPN endpoint may see only encrypted VPN traffic rather than torrent payload details.
Practical context (diagnosing or configuring)
Start by separating two goals: (1) whether the VPN connection is established and being used for your device, and (2) whether torrent behavior is consistent with expected network conditions. On many systems you can verify that general browsing traffic goes through the VPN, then observe whether torrent client connections show expected routing (for example, peers connected through the VPN interface rather than your local interface).
If you see slow speeds or stalled transfers, consider: VPN server load and distance, local firewall or router rules blocking inbound/outbound connections, NAT behavior, and whether your client is allowed to open and maintain the connections it needs. For DNS, confirm that name resolution used by the client is aligned with your VPN configuration to avoid bypass.
Limitations to keep in mind
A VPN does not guarantee anonymity, safety, or access. Performance and availability can vary based on network, device, location, provider, and time.