MacBook Air power
MacBook Air won’t turn on. When plugged in, the light on the cord doesn’t light up either, we’ve made sure the cord works on another MacBook Air.
MacBook Air
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I understand your Mac won't turn on and there is no indication that its power adapter is working with it despite the fact it works with another MBA.
Begin with If your Mac doesn't turn on.
Read and follow each of its steps, including all the links within it, all the way through and including Step 4, which directs you to:
If your Mac starts up to a blank screen
Read and follow each of it steps also, all the way through and including the end, which takes you to:
"If you still need help, please contact Apple Support."