Currant - It is a small red, black, blue or white berry that grows on bushes and is primarily used for making jams and jellies. It is also eaten fresh. For example:
Would you like a strawberry jam or a multi currant jam?
I would like to have a black currant pastry.
Current - It has two meanings. It refers to something that is ongoing or happening in present. It also refers to a movement of electricity, water, air, etc. in a particular direction. For example:
What is your current salary?
When you are in a sea, do not try to swim against the current.