Kirchoff's Rule - circuit with 3 batteries

  • Thread starter Thread starter brazen2
  • Start date Start date
  • Tags Tags
    Batteries Circuit
AI Thread Summary
The discussion revolves around solving a circuit problem using Kirchhoff's rules to find the current through a 22-ohm resistor. The user has set up equations based on Kirchhoff's current and voltage laws but is struggling with inconsistencies in the voltage drops across the circuit. After calculating the currents I1, I2, and I3, the user finds that the results do not align with the expected voltage across points A and B. Despite spending considerable time on the problem, the user remains uncertain about the accuracy of their calculations. Assistance is requested to clarify these discrepancies in the circuit analysis.
brazen2
Messages
3
Reaction score
1

Homework Statement


Hello everyone

I need to find the current through the 22 ohm resistor. I've tried to solve this problem for many hours now... I can't find what I'm doing wrong! Please find a rough diagram attached.


Homework Equations


Kirchoffs rules


The Attempt at a Solution


I1 + I2 = I3

top loop:

-8 -22I1+12-14I3 = 0
0.286 - 1.57I1 = I3

perimeter loop:
-8 -22I1 +12 I2 -18 =0
2.17 +1.83 I1 = I2

Inputting these numbers into the first equation:
I1+I2=I3
I1 +2.17 +1.83I1 = 0.286-1.57I1
I1 = -0.428A

I then put the I1 into the loop equations and found:
I2= 1.39 A
I3= 0.958 A

However, when I'm trying to find the voltage across the points A and B, these currents do not yield consistent voltage drops across the three portions of the circuit.

I really appreciate any help!
 

Attachments

  • Kirchoffs rule.jpg
    Kirchoffs rule.jpg
    17.6 KB · Views: 1,332
Physics news on Phys.org
Sorry- i actually think this is correct. There goes a couple hours!
 
  • Like
Likes mattj128
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
View full post »

Similar threads

Network Analysis, Kirchhoff's Laws, changing current source to voltage
Replies
4
Views
1K
Why Are My Kirchhoff Voltage Rule Equations Incorrect?
Replies
1
Views
1K
Solving Kirchoff's Laws: Are My Answers Correct?
Replies
9
Views
3K
Kirchhoff's law: Find the current I3 through the Amp meter
Replies
4
Views
2K
Power dissipated in this circuit with 2 batteries and 3 resistors
Replies
22
Views
4K
Solving Current & Power in 4 & 3 Wire Circuits
Replies
9
Views
2K
Two batteries and two resistors circuit - wrong possible answers ?
Replies
16
Views
2K
Writing Kirchhoff Rules for a Multi-Loop Circuit
Replies
5
Views
3K
Checking My Understanding of a Magnetic Circuit: Help Appreciated!
Replies
10
Views
1K
Kirchoff's law and circuit analysis
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top