In series circuit, both lamps have the same brightness, both lamps are dim. The battery is having difficulty pushing the samw charge first through one bulb, then to the other one. This means less charge flows each second , so there's low current and energy is slowly transferred from the battery. The both lamps can't be switched off and on independently.
The advantage for this sort of arrangement is that it's a very simple circuit to produce. The battery will last longer. If one lamp "blows" then the circuit is broken so that the other one goes out as well. Examples of this sort of circuit is the Christmas tree lights.
In parallel arrangement, both lamp have the same brightness. The battery pushes the charge along two alternative routes. This indicate that more charge can flow around the circuit per second, so energy is quickly transferred from the battery. The lamps can be switched off and on independently by putting switches in the parallel branches. The disadvantage of this circuit is that the battery will not last as long. If one lamp goes off, the other one will keep working. Electric appliances in the home are connected in parallel.
Reference Revision Guide GCSE Physics
Malcolm Bradley
Chris Sunley