Resistance connected

in series

 

 


 

1) Suppose R1, R2, & R3 resistors are connected in series, with a potential difference V of a battery. As shown in the diagram



2) Suppose I current is flowing through them.


3) As resistors are connected in series current I will pass through all of these resistors.


4) And applied potential V is the sum of all potentials across each resistors. Then

V = V1 + V2 + V3



Now we know that

V1 = IR1

V2 = IR2

V3 = IR3


5) Then suppose Rf is the final resistance of all the combined resistors then 

 V = IRf



Therefore we get

IRf = IR1 + IR2 + IR3



Therefore

Rf = R1 + R2 + R3



6) If n no of resistors are connected in series then the resultant resistance of all the resistors is



Rresult = R1 + R2 + R3  ……………. + Rn