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I want to apply nodal analysis at the red marked node of the above circuit. Here is my equation :

$$0.2v_0 - i_0 - 5 + \frac{v_3}{40} + \frac{v_3 - v_2}{10} = 0$$

My equation includes a supernode formed due to the dependent voltage source $$4v_0$$

Is my equation correct for nodal analysis?

  • 1
    \$\begingroup\$ I don't see how your equation is sufficient to solve everything. Are you only trying to provide a nodal equation for a single node and that is all? (You may also need to label your nodes before anyone can try and make sense of your equation.) \$\endgroup\$
    – jonk
    Jul 11, 2019 at 6:25
  • \$\begingroup\$ @jonk... Updated the question...and yes, I am asking for this specific node only.. \$\endgroup\$ Jul 11, 2019 at 6:49
  • \$\begingroup\$ The equation is correct. \$\endgroup\$
    – Chu
    Jul 11, 2019 at 7:01

1 Answer 1


Your equation matches your circuit.

To make it a canonical nodal equation for use in nodal analysis, you should express \$v_0\$ and \$i_0\$ in terms of node voltages (\$v_1\$, \$v_2\$ and \$v_3\$).


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