- #1

Young_Scientist23

- 11

- 0

- TL;DR Summary
- The topis is related to the usage of nodal analysis in the circuit having two dependent current sources.

Hello,

I came up with a circuit that has two independent voltage-controlled current sources. I want to calculate voltage gain: ##G_{U} = \frac{U_{2}}{U_{1}}##. Moreover, I want to practice the nodal method at the same time. Below I'm sending schematic with marked nodes V1, V2, V3 and V4.

I derived the circuit conductance matrix

$$U_{1} = V_{1} = \frac{\Delta_{1}}{\Delta}$$

$$U_{2} = V_{4} = \frac{\Delta_{4}}{\Delta}$$

Unfortunately, the determinants are zero and I don't know why. Can you suggest what I may be doing wrong? I'm sending derived matrix.

Regards,

Tom

I came up with a circuit that has two independent voltage-controlled current sources. I want to calculate voltage gain: ##G_{U} = \frac{U_{2}}{U_{1}}##. Moreover, I want to practice the nodal method at the same time. Below I'm sending schematic with marked nodes V1, V2, V3 and V4.

I derived the circuit conductance matrix

*G*and I want to calculate the mentioned gain by determining the determinants of the matrix i.e.:$$U_{1} = V_{1} = \frac{\Delta_{1}}{\Delta}$$

$$U_{2} = V_{4} = \frac{\Delta_{4}}{\Delta}$$

Unfortunately, the determinants are zero and I don't know why. Can you suggest what I may be doing wrong? I'm sending derived matrix.

Regards,

Tom