In series circuits, the different components are connected in a line, end to end, between the +ve and -ve of the power supply (except for voltmeters, which are always connected in parallel, but they don't count as part of the circuit)
If you remove or disconnect one component, the circuit is broken and they all stop. This is generally not very handy, and in practice very few things are connected in series
Potential difference is shared
In series circuits the total pd of the supply is shared between the various components. So the potential differences round a series circuit always add up to equal the source pd: V(total) = V1 + V2 + ...
Current is the same everywhere
In series circuits the same current flows through all components: I1 = I2 = ...
The size of the current is determined by the total pd of the cells and the total resistance of the circuit: I=V/R
Resistance adds up
In series circuits the total resistance of 2 components is just the sum of their resistances: R(total) = R1 + R2
Resistance is added up because by adding a resistor in series, the 2 resistors have to share the total pd
The potential difference across each resistor is lower, so the current through each resistor is also lower
In a series circuit, the current is the same everywhere so the total current in the circuit is reduced when a resistor is added. This means the total resistance of the circuit increases
The bigger a component's resistance, the bigger its share of the total potential difference
Cell potential differences add up
There is a bigger pd when more cells are in series, if they're all connected the same way
When 2 cells with a potential difference of 1.5V are connected in series they supply 3 V between them