Calculating the Current in a Two battery Combination Circuit

  • #1

Homework Statement



For the circuit shown in the figure below, calculate the current I4 through the 1.94Ω resistor.
cutj20104.gif

As shown, R1 = 4.05Ω, R2 = 8.11Ω, R3 = 6.17Ω, R4 = 1.94Ω, I1 = 2.97A and E1 = 12V

Homework Equations


V=IR
ƩI in a junction = ƩI out of a junction
ƩV in a loop = 0

The Attempt at a Solution


I1R1+I1R2 -E1 + I2R3 =0
I1 = I2 + I4
So
I4 =I1 - ((-(I1*R1) - I1R2 + E1)/R3)

I don't have many tries left, so I want to know if my analytical solution is correct, and if I've just been making my error plugging the numbers back in.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,832
251
Hi BornSurvivor! :smile:
I1R1+I1R2 -E1 + I2R3 =0
I1 = I2 + I4
looks ok so far

but won't you need an equation involving E2 ? :confused:
 
  • #3
Nope! Those two equations were all I needed. It turns out I had mixed up the numbers for R2 and R3. :)
 

Related Threads on Calculating the Current in a Two battery Combination Circuit

Replies
4
Views
861
Replies
19
Views
14K
Replies
2
Views
3K
Replies
2
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
5
Views
11K
Replies
5
Views
2K
  • Last Post
Replies
10
Views
3K
Top