Answer:
Statics means stationary state. So electric charges at rest is studied under the topic electrostatics.
Coulomb's law, Gauss law are the most important laws in this field.
Coulomb's law deals with the force between two stationary charges. If two charges are of same polarity then repulsive force exists between them. If two charges are of opposite polarity then attractive force comes into play.
Force seems directly proportional to the product of the charges and inversely proportional to square of the distance between them.
Gauss law is dealing with electric flux. Of course electric flux is imaginary lines of force. Total flux over a closed surface due to an electric field will be one over epsilon not times the net charge enclosed within the closed surface.
This law is very useful and an intelligent approach to find the electric field intensity due to a uniformly charged wire or uniformly charged sheet.