How to you change the WiFi on the home pod
How to change the WiFi on the HomePod
How to change the WiFi on the HomePod
The HomePod should detect the network your setup device is using and connect to that network. Changed my router and once I had connected my device to the network my HomePods connected soon afterwards. In iOS 12 and later, HomePod will automatically connect to the same Wi-Fi network as your iPhone, iPad or iPod touch. If you've recently changed your Wi-Fi password or moved HomePod to a new location, wait a few seconds, then ask Siri a question to see if HomePod is connected to Wi-Fi. https://support.apple.com/en-gb/HT208380
The HomePod should detect the network your setup device is using and connect to that network. Changed my router and once I had connected my device to the network my HomePods connected soon afterwards. In iOS 12 and later, HomePod will automatically connect to the same Wi-Fi network as your iPhone, iPad or iPod touch. If you've recently changed your Wi-Fi password or moved HomePod to a new location, wait a few seconds, then ask Siri a question to see if HomePod is connected to Wi-Fi. https://support.apple.com/en-gb/HT208380
Your HomePod should pick up the credentials for all Wi-Fi networks known to your setup device through iCloud keychain. You can try bring the device to the HomePod on a new network to see if that helps you select the network. If all else fails Reset the HomePod - Apple Support.
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How to you change the WiFi on the home pod