One Mac kills my Time Capsule's internet connection; the others don't
In the past several days, whenever I start my desktop Mac (iMac Core i3; OS 10.7.4), the internet connection on my Time Capsule (1TB) dies, and neither that Mac nor any other device connected to the Time Capsule (ver 7.6.1) can use the internet. Once I shut my iMac down, my MacBook and iPhone can connect via the Time Capsule to the internet without trouble.
More info:
-- The internet will come back up for short periods of time and function fine on my iMac, then quickly go back down.
-- The light on the Time Capsule continues shining solid green, even when the connection is not working, as does the light on my DSL modem.
-- AirPort Utility shows the internet cycling intermittantly between connected and disconnected. But it shows the internet as "connected" far longer than I actually have a functioning connection.
-- I don't recall having updated any system software on my Mac. Since the problem started I updated the Time Capsule to the current firmware, to no effect.
Any ideas what's going on?
iMac, Mac OS X (10.7.4), Time Capsule 1TB