Final answer:
In P2P architecture, file distribution time is influenced by factors like upload capacity of the source and clients, and download capacity of clients. It's the maximum time required for either server upload or client sharing. Precise computation needs analysis of network capabilities and protocols.
Step-by-step explanation:
The file distribution time in a Peer-to-Peer (P2P) architecture refers to the time it takes for a file of size F bits to be distributed to N clients. In a P2P network, each client can download and upload pieces of the file simultaneously. The distribution time will depend on several factors such as the upload capacity of the original source, the combined upload capacity of all the peers (clients), and the download capacity of the peers.
The general formula to estimate the file distribution time in a P2P network is not straightforward as it involves many dynamic factors. However, if we consider a simplified scenario where all clients have the same upload and download capacity, and there's no limit on connectivity, the distribution time can be seen as the maximum of either the server's upload time (F/Us, where Us is the server's upload capacity) or the time it takes for clients to receive and share amongst themselves (F/N * Uc, where Uc is the client's upload capacity).
The actual determination of file distribution time requires careful analysis of the network's capabilities and might involve understanding of detailed P2P network protocols and algorithms.