iTunes downloads iOS firmware files and stores them to a default directory on your computer automatically. These Apple firmware files have an .ipsw extension and are located in the following folders: On Mac computers: ~/Library/iTunes/iPad Software Updates (where ~ is your home directory /Users/<Username>) On Windows XP: Documents and Settings\<Username>\Application Data\Apple Computer\iTunes\iPad Software Updates.
http://www.theipadguide.com/faq/where-are-ipad-firmware-files-stored-my-computer
Pangu provides an iOS 9.0 untethered jailbreak. TaiG provides an iOS 8.4 and 8.3 untethered jailbreak. Check @PanguTeam, @taig_jailbreak, @saurik, and /r/jailbreak for news and updates. You can use Cydia Impactor if you need to un-jailbreak an 8.1-8.4 device without restoring. Instructions for jailbreaking iOS 8.0-8.4.
http://www.jailbreakqa.com/questions/156188/where-does-itunes-11-save-ipsw-files-in-windows-8
OTA Updates (Over-the-Air Updates, also know as wireless updates) were introduced with iOS 5. This allows a user of a device to go into Settings > General > Software Update and download and install the latest iOS software on-device, without the need for iTunes. The device checks an XML-based PLIST file on mesu.apple.com for updates. The updates are delivered in plain unencrypted ZIP files.
https://www.theiphonewiki.com/wiki/OTA_Updates
How to Find iPhone OS software on Windows – First enable ‘Show hidden files and folders’ option from Folder options. Now open the directory as per your Windows: Location on Windows 7 & Vista: C:\Users\User\AppData\Roaming\Apple Computer\iTunes\iPod Software Updates.
http://webtrickz.com/where-does-itunes-storesave-iphone-software-updates-or-firmware-files-on-windows-mac/
IPSW location in Mac OS X. For Mac OS X, the location of your IPSW files may vary slightly depending on the iOS device in question, but they will be located in your home directory: ~/Library/iTunes/.
https://discussions.apple.com/thread/6238401?start=0&tstart=0
in response to PokemonLover67 IPSW location in Mac OS X For Mac OS X, the location of your IPSW files may vary slightly depending on the iOS device in question, but they will be located in your home directory: ~/Library/iTunes/.
https://discussions.apple.com/thread/6238401?start=0&tstart=0
Where does iTunes 11 save ipsw files in Windows 8. 0. Ive tried Users<User>AppDataRoamingApple ComputeriTunesiPhone Software Updates and the iPhone Software Updates folder doesnt exist. The firmware has already completed downloading in iTunes but i cant seem to find it.
http://www.jailbreakqa.com/questions/156188/where-does-itunes-11-save-ipsw-files-in-windows-8
Learn how to update your iPhone, iPad, or iPod touch to the latest version of iOS—wirelessly or using iTunes. You can update your iPhone, iPad, or iPod touch to the latest version of iOS wirelessly. If you can't see the update on your device, you can update manually using iTunes.
https://support.apple.com/en-us/HT204204
Plug your device into power and connect to the Internet with Wi-Fi. Tap Settings > General > Software Update. Tap Download and Install. If a message asks to temporarily remove apps because iOS needs more space for the update, tap Continue or Cancel. Later, iOS will reinstall apps that it removed.
https://support.apple.com/en-us/HT204204
Location on Windows XP: Documents and Settings\User\Application Data\Apple Computer\iTunes\iPhone Software Updates. You’ll now see iPhone/iPod/iPad Software Updates file with a .ipsw extension, if present. How to Find iPhone OS software on Mac – iTunes saves the firmware file in hidden folder on Mac.
http://webtrickz.com/where-does-itunes-storesave-iphone-software-updates-or-firmware-files-on-windows-mac/
where are the ios update files located
The ios update files located on windows XP is documents and settings in user in application data in apple computer in itunes in iphone software updates.