Engineering How do I solve for node voltages in a circuit with complex resistances?

AI Thread Summary
To solve for node voltages V1 and V2 in a circuit with complex resistances (impedances), it's essential to apply mesh analysis by writing expressions for the mesh currents I_1, I_2, and I_3. The use of complex numbers is crucial when dealing with impedances, as they represent both resistance and reactance. Begin by establishing the mesh equations based on Kirchhoff's voltage law, incorporating the impedances into the calculations. Once the mesh currents are determined, node voltages can be derived using Ohm's law and the relationships between the currents and voltages in the circuit. This approach will effectively yield the required node voltages.
James889
Messages
190
Reaction score
1
Hi,

I have the following circuit
[PLAIN]http://img245.imageshack.us/img245/8193/upg553.png

I need to solve for the node voltages V1 and V2.

Im not sure how to deal with this when complex resistance are involved.

Also, do you start by writing expressions for the mesh currents I_1,I_2, I_3 ?

Advice appreciated.

/James
 
Last edited by a moderator:
Physics news on Phys.org
The 'complex resistances' are impedences (z).

where,
[PLAIN]http://dl.dropbox.com/u/4645835/MATH/Impedence.gif

Mesh 1:
[PLAIN]http://dl.dropbox.com/u/4645835/MATH/Mesh1.gif
 
Last edited by a moderator:
Thread 'Have I solved this structural engineering equation correctly?'

Thread 'Have I solved this structural engineering equation correctly?'

Hi all, I have a structural engineering book from 1979. I am trying to follow it as best as I can. I have come to a formula that calculates the rotations in radians at the rigid joint that requires an iterative procedure. This equation comes in the form of: $$ x_i = \frac {Q_ih_i + Q_{i+1}h_{i+1}}{4K} + \frac {C}{K}x_{i-1} + \frac {C}{K}x_{i+1} $$ Where: ## Q ## is the horizontal storey shear ## h ## is the storey height ## K = (6G_i + C_i + C_{i+1}) ## ## G = \frac {I_g}{h} ## ## C...
View full post »

Similar threads

Engineering How do I find Vth with the node voltage method?
Replies
10
Views
3K
Engineering Why is the voltage source high potential into node 1 at -12 V in this op amp problem?
Replies
15
Views
2K
Engineering How Do You Determine Node Voltage in a Circuit with Identical BJTs?
Replies
6
Views
2K
Engineering Why Is Nodal Analysis Confusing in This Circuit Example?
Replies
7
Views
2K
Engineering Solve this Circuit using both Nodal Analysis and Mesh Analysis
Replies
15
Views
4K
Engineering Solving Circuit Equations: A Struggle
Replies
15
Views
2K
Engineering Can I solve this using Kirchoff's Law?
Replies
5
Views
2K
KCL with phasors: how to proceed knowing effective values
Replies
1
Views
2K
Engineering How to analyze a circuit with one node using the node method
Replies
2
Views
2K
Engineering Calculating the effective value and frequency of AC Circuit
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top