If the new joists are also going to support the floor (it isn't clear from your post) - then you need to follow somethign like the table on here
http://www.worthing.gov.uk/Planning/...fTimberJoists/ (Note the above link talks about an imposed load of 1.5KN - if that does'nt mean much to you, then realise that a small apple 'weighs' about a newton - so they're talking about the weight of 15 sacks of apples.)
If the new joists are going between (and slightly below) the old joists (which are continuing supporting the floor) - to provide sound isolation perhaps, then you can obviously use smaller timber.
I can't in a brief search find a table for you (must exist somewhere) - just be aware that information from an old book will not be suitable as wood today is grown quickly and is hence less strong than that used prior to WW2.
If I was me I think in terms of 2x4" or 2x5" - better to overengineer in this case.
Just in case you don't know, you need to order sawn timber, not PAR (planned all round) - it will be a lot cheaper.
Also try and lay your new joists out to reduce the number of plaster board cuts you have to make
One final suggestion - if this is for sound isolation, use a bigger size joist and poor dry sand between the joists (after you've done the wiring) ie on top the plasterboard - say an inch deep.
Hope this helps,
James