It is very hard to add something to Dr. Braun's answer...
I just want to note that normally, galvanostat using for battery testing (i.e. charge/discharge current is constant). As a result, you get the cell voltage dependence from the degree of charge or discharge. The geometric area of the electrode in the test cell should be used for current density calculation (current divided by area, this is most simple). The point is that the voltage and capacity of the cell or electrode in the process of charge/discharge depends on the current density (see Tafel equation in electrochemistry). Therefore, any charge/discharge curve for the test cell, electrode, etc. makes sense only if the current density is specified (sometimes in units of current per mass, C-units ...).
The density of current is deduced from measured value of current intensity divided by the section area of wire in which there is a current circulation. But, there other methods which can be used for measuring current density.
Bhim Thapa Your answer looks convincing, Thank you. However, I am wondering that if the dimension of the electrode is 5cm x 2cm , the projected area is 20 cm2 (if we neglect the thickness) isn't it ? If you can clarify this that would be really helpful.
I am running a microbial electrosynthesis reactor with carbon felt electrode, how can I calculate the surface area?