Series circuit is very common connection in household. The below graph is an example of series circuit:

In the above series circuit, two resistors are connected.The current on R1 will be equal to R2. Actually, the current in every part of the circuit is the same in series connection. However, the voltages on R1 and R2 are different. According to formula R=V/I, the component with high resistant value will have a higher voltage, because current is a constant in series connection. In real life a typical example for using series circuit will be the decoration lights on Christmas tree. All those color beautiful lights are connected on series connection. Which means one light goes off, all of the rest will stop working as well.