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That isn't normal. Are you sure it's charging properly? If it is, I'd try calling Applecare and try to get it replaced again.
 
If it shows its charging, then its a dead LED.
Call near Apple store and let them know about this problem.
I would tell them the charger is faulty and dont give them much details.
It can result them from not giving you a free exchange.

Call near Apple Store, make appointment, and then just go.
Thats how I got mine exchanged.
 
If it shows its charging, then its a dead LED.
Call near Apple store and let them know about this problem.
I would tell them the charger is faulty and dont give them much details.
It can result them from not giving you a free exchange.

Call near Apple Store, make appointment, and then just go.
Thats how I got mine exchanged.

The led is showing when I re-plug it
 
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