Kirchhoff's law - Simultanious Equations - Question

  • Context: Undergrad 
  • Thread starter Thread starter College_Noobie
  • Start date Start date
  • Tags Tags
    Law
Click For Summary
SUMMARY

This discussion focuses on applying Kirchhoff's law to solve simultaneous equations in an electrical circuit. The equations derived are 27 = 1.5I^1 + 8(I^1 - I^2) and -26 = 2I^2 - 8(I^1 - I^2), which simplify to 8I^1 - 10I^2 = 26 and 9.5I^1 - 8I^2 = 27. The recommended method for solving these equations involves multiplying the first equation by 4 and the second by -5 to eliminate one variable. The conversation also highlights the confusion regarding the appropriate forum category for this mathematical topic.

PREREQUISITES
  • Understanding of Kirchhoff's law in electrical circuits
  • Familiarity with simultaneous equations
  • Basic algebra skills
  • Knowledge of equation manipulation techniques
NEXT STEPS
  • Practice solving simultaneous equations using different methods
  • Explore Kirchhoff's laws in more complex electrical circuits
  • Learn about the application of linear algebra in circuit analysis
  • Study the relationship between electrical current and voltage in circuits
USEFUL FOR

Students in electrical engineering, mathematicians dealing with circuit analysis, and anyone interested in applying algebraic methods to solve electrical problems.

College_Noobie
Messages
6
Reaction score
0
When Kirchhoff's law are applied to a particular electrical circuit the current I^1 & I^2 are connected by the equations;

27 = 1.5 I^1 + 8 (I^1 - I^2)
-26 = 2 I^2 - 8 (I^1 - I^2)

Please show working out =)
 
Mathematics news on Phys.org
Why was this posted under "differential equations"?

Taking I^1= x and I^2= y because your notation was confusing me, you have
27= 1.5x+ 8(x-y)= 1.5x+ 8x- 8y= 9.5x- 8y and
-26= 2y- 8(x- y)= 2y- 8x+ 8y= 10y- 8x.

That is you want to solve the equations 8x- 10y= 26 and 9.5x- 8y= 27.

You might try multiplying the first equation by 4 (so you get -40y) and the second equation by -5 (so you get +40y) and adding those equations to eliminate y.

No, I'm not going to "show working out". I am going to assume that you are capable of doing the basic algebra here yourself! The practice will do you good.
 
sorry about the place of posting i was unable to work out which of the mathimatics sections it should go under.

and sorry about the "I to the power of 1 and I to the power of 2"

dont worry about the working out =) i will be able to carry on from there

Thanks
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
902
  • · Replies 14 ·
Replies
14
Views
1K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K