# Nodal Analysis of a circuit with a dependent source

simulate this circuit – Schematic created using CircuitLab

Hi,

So the trouble I am having with this problem is that I don't know how to do nodal analysis with the dependent source. I would normally just do a source transformation and change the current source to a voltage source and then just do KVL's. But since the dependent source is reliant on Vo, I don't know how to solve it using Nodal Analysis. Vo is the voltage across R2.

Thanks

Voltage at the node where R2 is connected is Vo, consider voltage at other node is $V_1$ By KCL:

$$\frac{V_o}{R_2} + \frac{V_o-V_1}{R_1} + \frac{V_o-V_2-2V_o}{R_3} = 0$$

To find $V_2$ here it is simply $R_4 \cdot I_1 = 48V$.