(VU-Study-Corner) PHY301 Can Any one Explain Highlighted area ? KIRCHHOF’S LAW :(

Example   Find voltage across 2k ohm resistor.

 

 

Solution:

      Combine 2k and 2k and then

      At node (1)

                                V₁/3k +4mA +2mA + (V₁-V₂) /6k =0

                                                   2V₁ +24 +12 +V₁ – V₂ =0

                                                                                                   3V₁ –V₂ = -36-------- Equation 1

                                     At node (2)

                                                                V₂/4k + V₂/12k - 2mA +(V₂ –V₁)/6k = 0

                                                                                    3V2 +V₂– 24 + 2V₂ – 2V₁ = 0

                                                                                                        6V₂ – 2V₁ = 24-------------- Equation 2 

               

9V₂ – 3V₁ =36         This come from where ????

          -V₂ + 3V₁ =-36 -------------- Equation 1

                   

8V₂ =0

                       V₂ =0

                                you can see from the circuit  on the right side two resistance

are in series i:e 2k and 2k ohm so we will apply voltage divider   rule here

 

V₀ = 2/4 x V₂

                                                                                     = 2/4 x 0

                                                                                      = 0

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