Showing posts with label The Effective Resistance of resistors connected in Parallel. Show all posts
Showing posts with label The Effective Resistance of resistors connected in Parallel. Show all posts

2008-10-20

The Effective Resistance of resistors connected in Parallel

In parallel connection, the resistors are connected as shown below:

 In such a case, the total or effective resistance between terminals A and B is given by:

1/Rab = 1/R1 + 1/R2 + 1/R3

i.e. the reciprocal of the effective resistance is equal to sum of the reciprocals of the individual resistances.

If there are only two resistors, the above formula reduces to:

Rab = (R1*R2) / ( R1+ R2) 

e.g., if two 1K resistors are connected in parallel, the effective resistance is (1*1)/(1+1)= 1/2 = 0.5K=500 ohm.

In Parallel circuit, the Voltage that pass through each resistor is the same.

V1 = V2 = V3

Reference: http://www.electronic-circuits-diagrams.com/tutorials/resistors.shtml