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

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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.

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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

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  • \$\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

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