Series Resistors and Voltage Division, Parallel Resistors Current Division

Series Resistors

                      Resistors are connected in series when they are chained together in a single line. all the current flowing from one resistor will also pass the other resistors and has no other way to go because they have only path.

                   

In this circuit we have four resistors and one voltage source. All we need to do is to follow the following formulas:

Resistance: R_eq  = R₁ + R₂  +  R₃ +_{………………}R_n

Voltage:     V_eq = V₁ + V₂ + V₃+...…...V_n

Current:        I_eq  =  I₁ = I₂ = I₃ = …….....…..In 

Voltage Division

              

In solving by voltage division we must remember that the circuit contains two resistors and one voltage source connected in series.

voltage division formula:

  

V1 is voltage from R1 as well as V2. V in the numerator is the voltage source.

                                 

 Parallel Resistors

A resistor is in parallel to another resistor  if and only if they share common terminals. In our circuit Both the branches touch each other's endpoint.

 formula:

                

Current Division

   

In solving current division note that you should have two paralleled resistors and one current source (see illustration above) so that we can apply the given formula.