I was trying to send btc to another address. But mistakenly sent it to my own address using the same wallet. Is it possible to send bitcoin from your wallet to your own wallet using the same account, if yes what will happen to the coin.
Which wallet service/software are you using? You should be seeing an "incoming transaction", since you are receiving Bitcoins from yourself.
Regardless, if you just sent coins to another address that is inside your wallet (and that you have control), you will be able to spend them normally.