How to find the voltage labeled v(x) by Nodal Analysis?

enter image description here

The sum of currents from node 2 to node 0 is equal to 0. However, I do not know the the current of 0.1Vx. How to solve the question?

Thank you for your help.


Since it is voltage controlled current source, the current from node 0 to 2 is 0.1Vx. Here replace Vx = V2-V3. So the last equation is :

$$ (V_2-V_1)/2 + (V_2-V_3)/4 - 0.1V_x =0 $$ $$ =>(V_2-V_1)/2 + (V_2-V_3)/4 - 0.1(V_2-V_3)=0 $$

Solving this equation, you would get V2, since V1=50V & V3 =100V

  • \$\begingroup\$ 0.1Vx is a current instead of a voltage? \$\endgroup\$ – Casper May 31 '14 at 6:22
  • \$\begingroup\$ yup.It is a dependent current source, whose value is dependent on voltage Vx. Search with "voltage controlled current source" for more details. \$\endgroup\$ – hassansin May 31 '14 at 6:26
  • \$\begingroup\$ So the answer should be V2 = 61.54V and Vx = -38.46V. Right? Are there any other methods for me to check the real answer by myself? \$\endgroup\$ – Casper May 31 '14 at 12:10
  • \$\begingroup\$ There are other techniques like mesh analysis, superposition theorem. You can apply them and verify your answer. By normal inspection you can also tell if the values make any sense. \$\endgroup\$ – hassansin May 31 '14 at 13:25

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.