# Nodal analysis for dependent voltage source

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?

• 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.)
– jonk
Jul 11 '19 at 6:25
• @jonk... Updated the question...and yes, I am asking for this specific node only.. Jul 11 '19 at 6:49
• The equation is correct.
– Chu
Jul 11 '19 at 7:01

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\$$).