EC and DC circuits, using matrices

AI Thread Summary
The discussion centers on solving a circuit problem using matrices instead of Kirchhoff's rules. The original poster seeks guidance on how to formulate and solve simultaneous equations for the circuit to find the current through each resistor. Participants suggest writing the equations based on Kirchhoff's Current Law (KCL) or Kirchhoff's Voltage Law (KVL) before applying matrix methods. Clarifications on KCL and KVL are provided for those unfamiliar with the concepts. The thread emphasizes the importance of understanding these laws to effectively use matrices in circuit analysis.
congo
Messages
3
Reaction score
0
Can someone help me solve this problem using matrices and not Kirchhoff's rules. My professor posted this as a challenge question and I would like to know how to solve such a problem. Please help! I tried looking up how to solve this type of problem using matrices but to no luck. I don't know where to even begin with this question. Here's what the circuit looks like. Any help is greatly appreciated. Thank You!

I did this question using kirchhoff's rule and I would like to know how to solve this using matrices. Please guide me on how use matrices to get to the answers.
 

Attachments

  • Kichoff's circuit.jpg
    Kichoff's circuit.jpg
    10.9 KB · Views: 503
Physics news on Phys.org
Do you mean to ask how to solve a system of equations using matrices? Post the exact challenge of your professor, or are you talking about mesh analysis more so than the math to solve the equations?
 
Sorry for not being clear. He wants me to find the current through each resisters using matrices format. I found the currents using Kickhhoff's rule, but I do not know how to do it using matrices, any help would be greatly appreciated.
Here's the answers I found using kichhoff's rule.

I1= 0.92A
I2= 0.65A
I3= 0.27A

Thank you
 
congo said:
Sorry for not being clear. He wants me to find the current through each resisters using matrices format. I found the currents using Kickhhoff's rule, but I do not know how to do it using matrices, any help would be greatly appreciated.
Here's the answers I found using kichhoff's rule.

I1= 0.92A
I2= 0.65A
I3= 0.27A

Thank you

Welcome to the PF.

You can use the matrix method to solve simultaneous equations. Your professor wants you to write the simultaneous equations for that circuit, and solve those simultaneous equations using the matrix method:

http://en.wikipedia.org/wiki/Simultaneous_equations

You can use either the KCL or KVL method to write the two equations, and then solve using matrices.
 
Sorry, I don't know what's KCL or KVL. My professor never mentioned anything with KCL or KVL. Can you clarify a little about KCL and KVL please?
 
congo said:
Sorry, I don't know what's KCL or KVL. My professor never mentioned anything with KCL or KVL. Can you clarify a little about KCL and KVL please?

Happy to. KCL = Kirchoff's Current Law (node equations). KVL =n Kirchoff's Voltage Law (Mesh loop equations).

You can use wikipedia.org for more info on those circuit analysis techniques if needed. If you have further questions, post here, but show your work and your analysis of the wikipedia pages.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'A bead-mass oscillatory system problem'
I can't figure out how to find the velocity of the particle at 37 degrees. Basically the bead moves with velocity towards right let's call it v1. The particle moves with some velocity v2. In frame of the bead, the particle is performing circular motion. So v of particle wrt bead would be perpendicular to the string. But how would I find the velocity of particle in ground frame? I tried using vectors to figure it out and the angle is coming out to be extremely long. One equation is by work...
Back
Top