Connection router will not connect to internet it is broadband wireless

What are you trying to connect with ? A laptop? What kind? What OS are you using? If it's connected correctly and you can access the internet with a Ethernet Cable attached to the Netgear and the computer, it may be a computer wireless issue.

That's all you need to get your wireless internet up and running. However, in order to connect computers to the wireless network, they must be wireless capable, for example, most laptops have built in wifi, however desktops will need a wireless adapter to take advantage of your wireless router.

go D-Link - TechSupport FAQ

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connect the broadband modem to the internet port of your router (probably is blue). Then connect your pc to the router.

You have to set your router to act as dns.

Unplugging the wireless router and connecting it again should not have altered the wireless connection/configuration. You have connected the cables correctly because the Internet works when you connect a LAN cable to the router.
The Linksys wireless configuration or the wireless card configuration in the computer was changed it to lose the wireless connection. The wireless card configuration needs to be changed to match the wireless router's settings or change the Linksys with new configuration settings and configure the wireless card accordingly.
To secure your router with a login password and wireless security, please follow my instructions - click on this link :-
http://www.fixya.com/support/r3559128-wireless_router_security
Should you need further assistance, please leave me a comment.

Your laptop may not support g wireless. Change the wireless to broadcast B and G

If you can connect directly to your virgin Media Broadband and get internet then your laptop and broadband router is fine.

The wireless router appears not to have a DNS entry and you will need to add that manually.

I suggest that you connect directly to the Broadband modem, be sure you can get onto the internet. Once you have confirmed you can get onto the internet you need to get the dns information from your Broadband modem for later.

once connected directly to the broadband modem, click start>run> then type "CMD" then click open. you will get a prompt type the following and record the DNS Server ip addresses.

"ipconfig /all" then hit enter
this will display your ipaddress information but mostly you need the DNS server ip addresses.

once you have recorded them rerun the install, but this time instead of at the end of the install where it shows the Wireless router information you can modify or change it and add the DNS server entries.

Also by default most wireless routers ip address is 192.168.1.1 and you can type that from a internet explorer and change it from there as well. I believe it's no ID or user name and the password is admin.

Good luck

Your sister was accessing the wireless access point at school which is connected to the Internet/WEB access via a router and the school's broadband service provider.
For you to access the Internet using your wireless adapter on your laptop, you need your own wireless access point and connect it to a broadband ADSL or cable modem and then connect it to an Internet Service Provider. Some Internet Service Providers (cable and ADSL) can supply a combined modem/router/wireless Access point.
If you already have a broadband modem all you need is a wireless access point/router. You only need to configure the wireless access point and your wireless adapter so they will communicate with each other. Folow the instructions in the manuals.

You need to contact your ISP if the internet connection is not there....