Revocation certificates

[Richard Geddes]

Generating a revocation certificate as soon as you generate your key 
pair is a wise thing to do, in case you lose control of your passphrase 
... I did that.

My question is, if I edit my key pair... let's say I add a new uid to my 
key pair... do I need to generate a new revocation certificate or will 
the original revocation certificate work on the modified key pair?

Thanks
Richard