New PC will change IP address?

Solution
Depends on your ISP and your setup.

If this is a regular IPv4 setup, then no.
Your modem gets a public IP assigned by your ISP and this is the IP with which any device using your modem as gateway to the internet will use in the www. Your modem then assigns an internal IP address to your various devices so your facetime call happens on your iPhone and your Netflix show is displayed on the laptop and not the other way around. This internal IP address is only used within your walls and not visible from the outside/internet

If it's an IPv6 network, in theory, every device could/would have it's own unique IP address. However there are major privacy issues with that and most ISPs handle an IPv6 network just the same as described above...
Depends on your ISP and your setup.

If this is a regular IPv4 setup, then no.
Your modem gets a public IP assigned by your ISP and this is the IP with which any device using your modem as gateway to the internet will use in the www. Your modem then assigns an internal IP address to your various devices so your facetime call happens on your iPhone and your Netflix show is displayed on the laptop and not the other way around. This internal IP address is only used within your walls and not visible from the outside/internet

If it's an IPv6 network, in theory, every device could/would have it's own unique IP address. However there are major privacy issues with that and most ISPs handle an IPv6 network just the same as described above: your modem gets an IP, then distributes its own set of internal addresses to the network/devices behind it (NAT)

Furthermore, many ISPs in the residential sector offer dynamic IPs (opposed to static IPs). So everytime your modem logs into your ISP's services (f.e. by a reboot) or it's lease is renewed (periodically) it gets assigned a new IP address. This is officially for privacy and safety reasons (if you're DDOS'd you can just reboot your modem and noone knows your new IP at least for a while) but also helps ISPs if they don't have enough IPs for all their customers (as someone will always be offline).

So in short, no, the IP address happens between your modem and your ISP. A new computer won't have any impact on public IP addresses (unless you're running with the worst of all ISPs)
 
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