Its not the easy to do unfotunately. One way is to look in your Routers admin control panel which will generally list connected devices. Bear in mind because you are using DHCP is will change so knowing your IP is of limited use.
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Only network providers provide IP address for their network connection been used on your device. You can find the IP address of your mobile phone's network by visiting http://www.ip-details.com/ from your mobile browser.