ECE

NODAL ANALYSIS

NODAL ANALYSIS

The node voltage method of analysis solves for unknown voltages at circuit nodes in terms of a system of KCL equations. 
                        
                            OHM'S LAW + KCL = NODAL ANALYSIS

RULES
1) Mark nodes wtth more than two branches.
2) Mark node voltages and ground(potential is zero)
3) Assume all currents are moving outwards
4) Apply KCL and ohm's law.

 

by ohm's law

I _1 =    E₁ – 10   

             2

I_2 =   E₁ – 0 

             4

I_3 =  E1 – E2  

           2.5

I _1   +  I_2   +  I₃  =  0  (According to KCL )     

 E₁ – 10   ₊  E1 – 0  ₊  E1 – E2  _{= 0}

    2              4            2.5

At node 2

assume E2 is at higher potential
all currents is going outwards

I _4 =    E₂ – E1   

            2.5

I_5 =   E₂ – 0 
            ₅   

I_6 =  E₂ – (-4) 
            1

I _4   +  I_5   +  I₆  =  0 

  

E₂ – E_1   +  E₂ – 0  ₊  E₂ – (-4)  ₌   0                      

  2.5             5            1

This post was written by: Author Name

Author description goes here. Author description goes here. Follow him on Twitter