What is a checking account also called?
Similarly, why is it called a checking account?
A checking account is a bank account that allows easy access to the funds in your bank account. Also called a transactional account, it's the account that you will use to pay your bills and make most of your financial transactions. These transactions are debits to your account, while a credit is a deposit.
Keeping this in view, is current and checking account the same?
"Current" is another word for Checking, as it is called in the US. Savings account is an interest-bearing account with certain limitations. Current account is a "general-use" account on which you can write checks, use ATM/Debit cards and have unlimited transactions.
There are usually two kinds of non-personal accounts: a current checking account, and a savings account with daily interest and/or regular interest. This would be similar to what occurs when an NSF (non-sufficient funds) check is deposited into an account.