Nodal Analysis Help, 1 equation 2 unknowns

AI Thread Summary
The discussion focuses on using nodal analysis to solve a circuit problem with one equation and two unknowns. The user has established node voltages, with V2 at -10V and V1 as 3I. They formulated a KCL equation for node V1 but are struggling to express current I in terms of V3. The current through the 12Ω resistor is identified as I=V3/12, emphasizing the importance of sign in calculations. The conversation highlights the complexities of nodal analysis in circuit analysis.
eatsleep
Messages
42
Reaction score
0
1.
XNB8udn.png




2. V=IR, Nodal analysis



3. Based on where I have drawn my ground, V2=-10V, V1=3I. From this I should just have 1 equation with 1 unknown (if I have done this correct). My KCL equation for node V1 is (V3+10)/8 + (V3-3I)/2 + V3/12. I am stuck, I need to find an equation for I in terms of V3.
 
Last edited:
Physics news on Phys.org
If you assume the potential at v3 is, well, v3, then what's the current through the 12Ω resistor?
 
  • Like
Likes 1 person
gneill said:
If you assume the potential at v3 is, well, v3, then what's the current through the 12Ω resistor?

Oh wow, I=V3/12
 
eatsleep said:
Oh wow, I=V3/12

Watch the sign...
 

Similar threads

Replies
15
Views
4K
Replies
4
Views
4K
Replies
2
Views
2K
Replies
5
Views
2K
Replies
2
Views
2K
Replies
7
Views
2K
Back
Top