What is the solution to this circuit problem involving Kirchoff's Laws?

  • Thread starter Thread starter dougyunker
  • Start date Start date
  • Tags Tags
    Laws Loop
AI Thread Summary
The circuit problem involves two batteries and four resistors, with equations derived from Kirchhoff's Laws to find the currents I1, I2, I3, and I4. The user has set up equations based on the circuit's voltage and resistance but is struggling to obtain the correct values for I1 and I3. Substitutions were made to simplify the equations, but the results are still incorrect. The user is seeking assistance to resolve the discrepancies in their calculations. Clarification on the application of Kirchhoff's Laws and potential errors in the equations is needed for a solution.
dougyunker
Messages
2
Reaction score
0

Homework Statement



The circuit in the figure is composed of two batteries (ε1 = 8 V and ε2 = 5 V) and four resistors (R1 = 110 Ω, R2 = 40 Ω, R3 = 50 Ω, and R4 = 50 Ω) as shown.

Image: See Attachment
OR: https://smart.physics.illinois.edu/images/phys102/Homework/03/cir06.gif

Homework Equations



I1=I4=I2+I3
E1-I1R1-I3R3-I4R4=0
E1-I1R1-I2R2-E2-I4R4=0

The Attempt at a Solution



First Equation: 8-110(I1)-50(I3)-50(I4)=0
Sub I4=I1 -> 8-160(I1)-50(I3)=0
Second Equation: 8-110(I1)-40(I2)-5-50(I4)=0
Sub I4=I1 -> 3-160(I1)-40(I2)=0
Sub I2=I1-I3 -> 160(I1)+40(I1)-40(I3)=3

Compare two equations:

160(I1)+50(I3)=8
200(I1)-40(I3)=3

The answers I got for I1 and I3 arent the correct answers. I've been working on this problem for awhile and am getting frustrated. Any help would be appreciated. Thanks, Doug
 

Attachments

  • cir06.gif
    cir06.gif
    2.2 KB · Views: 802
Last edited by a moderator:
Physics news on Phys.org
bump please
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Solving Kirchoff's Laws: Are My Answers Correct?
Replies
9
Views
3K
Two batteries and two resistors circuit - wrong possible answers ?
Replies
16
Views
2K
Circuit analysis: Six resistors and two batteries
Replies
1
Views
2K
What is the potential at the top of R2 in this circuit?
Replies
16
Views
4K
How to solve this chain with Kirchhoff's laws?
Replies
18
Views
3K
Writing Kirchhoff Rules for a Multi-Loop Circuit
Replies
5
Views
3K
Find currents and voltages - 2 batteries & 3 resistors
Replies
3
Views
4K
Kirchhoff's First Law to solve a circuit with 2 loops
Replies
6
Views
2K
Calculating current in five resistor/two battery circuit
Replies
4
Views
3K
Multiple Power Source Circuit Analysis
Replies
9
Views
3K

Hot Threads

Recent Insights

Back
Top