Question
Differentiate between resistances in series and parallel.
Solution
Resistances in Series  Resistances in Parallel  
1  In this type of connection, the resistances are connected one after the other such that the same amount of current flows through each resistance.  1  In this type of connection, the resistances are connected between two common points such that the potential difference across each resistor is the same. 
2  For n number of resistors connected in series, the effective resistance RS is equal to the sum of the individual resistors. R_{S} = R_{1} + R_{2} + R_{3} + R_{4}+ …… R_{n} 
2 
For n number of resistors connected in pparallel, the reciprocal of the effective resistance (R_{p}) is equal to the sum of the reciprocals of the individual resistances. `1/R_p=1/R_1+1/R_2+..............+1/R_p`

3  The effective resistance in series combination is greater than the individual resistances.  3  The effective resistance in parallel combination is less than the individual resistances in the combination. 
4  It is used to decrease the current in the circuit.  4  It is used to increase the current in the circuit. 
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Solution Differentiate Between Resistances in Series and Parallel. Concept: Resistance of a System of Resistors  Resistors in Parallel.