Wireless connection disconnects

I have a wireless Linksys router, and have a Dell Inspiron 1525 that has never had any problems connecting to the internet. If it ever does, a simple 10 sec unplugging of the router corrects it. I just bought a new laptop that I received yesterday, a Dell Inspiron N7010. I turned it on and it asked me for the password to connect to the wireless internet, that I have protecting my wireless router. I entered the password, and ever since then, if both laptops are on, the wireless shuts off on both laptops and I can not access the internet. period. If I shut off one of the laptops then, doesn't matter which one, the wireless will connect again on the laptop that is on. I am not sure how to fix the problem, because I want both laptops to be able to use the internet at the same time.