Resistors combinations.

Combination of resistors

Resistors can be connected Serially or in parallel

Combinations, to get a desired value. 

Serial combination of resistors

In a serial connection the resultant resistance will be calculated by adding the resistance values of all  the resistors in the combination. 

R = r1+r2+r3+r4.....

Suppose the r1 is 50 and r2 is 100 then resultant resistance of resistors will be 50+100= 150.

Resistors in serial combination

                   
                 Image credit goes to wikiMedia
       

                                

Parallel combination of resistors

In a parallel combination, the resultant value of resistance can be calculated by an equation

1/R = 1/r1 +1/r2+1/r3+1/r4............

If two 100 ohm resistors conned in parallel, what will be the combined resistance in the circuit? 

Let us find it, here r1=100 ans r2= 100 then

1/R=1/100+1/100=2/100 . ie 1/R=2/100 so R=100/2 =50 Ohms

                              

Resistors in parallel combination

                   Image credit: wikipedia 

                                 

Parallel+serial combination. 

                               

Parallel+serial combination of resistors
Image credit wikipedia.org

See the above image, you can notice both serial and parallel combination here. Let R1, R2, and R3 are 100 ohms each, then what wil be the total resistance in this circuit?. Let us calculate R1 and R2 are in parallel, 1/r1+1/r2 ie 1/100+1/100 that we already solved above that is 50 ohms. Then add R3 ie 50+100=150 ohms

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