Series Circuit
The current flow into a resistor = the current flow inside the resistor = the current flows out from the resistor
IA = IB = IC
In a series circuit, the current at any points of the circuit is the same.
Parallel Circuit
The current flow into a parallel circuit is equal to the sum of the current in each branches of the circuit.
I = I1 + I2
Example
If the resistance of the 2 resistors is the same, current will be divided equally to both of the resistor.