Week poor ^_^ lols

What are series and parallel circuits?????

Series circuits

  - all components are connected end to end, forming a single path for electrons to flow

 sample of series connections:

Formula for the series circuits:


*If the sum of the potential drops is equal to the 
potential rise of the source

     V_T= V_R1 + V_R2 + V_R3 ….

*If the current is the same everywhere in the series 

 circuits

          I_Total = I₁ = I₂ = I₃ = 

*If the total resistance of the circuits is equal to the

 sum of the individual resistances.

         R_Total = R₁ + R₂ + R₃ …

Parallel circuits

 - a parallel circuits has two or more paths for current flow

  example:

  

 Consider this figure with a two resistor R₁

And R₂ connected in parallel: 

And consider an equivalent figure with

One resistor R_T

then

  By KCL, I_T = I₁ + I₂           and by ohm’s law,

   Or I_T = V/R₁ + V/R₂            I_T = V/R_T

    But for equivalent circuits, V is the same

                    For the different Figures

         So, the equivalent total resistance for

         Resistor in parallel is given by the formula:

                1/R_T = 1/R₁ + 1/R₂ + …1/R_n

                               parallel

     
Also note from the 1^st figure that:

  I = V/R  but  V_T = I_TR_T

  Thus I₂ = I_TR_T/R₂

                Where 1/R_T = 1/R₁ + 1/R₂

This is called the Current Divider Rule

  And is usually written:

I _X= I_T(R_T/R_x)