memory - If you increase the address space for an OS, does the Phys Mem used by the program increase? -

i learning os.

i know: address space size = # of pages x page size

so if increase address space size, number of pages increases:(not page size). however, isn't virtual page number one-for-one mapping physical page numbers(frames), if number of pages increases address space doesn't frames , hence, size of ram used increase address space increases?

or, bigger address space cause more physical frames each frames physical memory size reduces total memory split among more frames.