Iphone 13 charger
Can I charge my iphone 13 with an old cable of a iphone 7?or its adaptor? Wouldn’t it harm the battery?
iPhone 13, iOS 16
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You can use the iPhone 7 power adapter and cable with an iPhone 13. It won't harm the battery and Apple encourages it.
See the following from Buy iPhone 13 and iPhone 13 mini - Apple
We encourage you to re‑use your current USB‑A to Lightning cables, power adapters, and headphones, which are compatible with these iPhone models. But if you need any new Apple power adapters or headphones, they are available for purchase.