• Support PF! Buy your school textbooks, materials and every day products Here!

DC current -- Find the 3 currents in this Battery + Resistor circuit

  • #1

Homework Statement


upload_2015-2-3_21-10-18.png


Find I1 , I2 and I3

Homework Equations


I = E / R
I3 = I1 - I2

The Attempt at a Solution


its the trouble with parallel different emf . I know a formula how to combine them into one but it needs inner resistance . i dont know how to do it with the ideal circuit . The combine emf will go to bigger emf or the sum of them ? and how to find the current then ? please help :(
 

Answers and Replies

  • #2
gneill
Mentor
20,793
2,773

Homework Statement


View attachment 78584

Find I1 , I2 and I3

Homework Equations


I = E / R
I3 = I1 - I2

The Attempt at a Solution


its the trouble with parallel different emf . I know a formula how to combine them into one but it needs inner resistance . i dont know how to do it with the ideal circuit . The combine emf will go to bigger emf or the sum of them ? and how to find the current then ? please help :(
When in doubt, apply the basics: KVL and KCL. You've already written a correct KCL equation for the circuit. Now what can you do with KVL?
 
  • #3
When in doubt, apply the basics: KVL and KCL. You've already written a correct KCL equation for the circuit. Now what can you do with KVL?
so i do it like this :
I1(2+4) +3I3 - 24 = 0 (KVL)
I2(5+1) + 3I3 - 12 = 0 (KVL)
I1 = I2 + I3 (KCL)

and i solve this and got I1 = 3 A , I2 = 1A , I3 = 2A
Am i wrong somewhere cause the answer should be I1=3.5A and I2 =2.5A instead
 
  • #4
gneill
Mentor
20,793
2,773
so i do it like this :
I1(2+4) +3I3 - 24 = 0 (KVL)
I2(5+1) + 3I3 - 12 = 0 (KVL)
I1 = I2 + I3 (KCL)

and i solve this and got I1 = 3 A , I2 = 1A , I3 = 2A
Am i wrong somewhere cause the answer should be I1=3.5A and I2 =2.5A instead
Yes, your second KVL equation is incorrect. You didn't take into account the defined direction of i3.
 
  • #5
Yes, your second KVL equation is incorrect. You didn't take into account the defined direction of i3.
the direction of i2 and i3 quite confusing
so i reveresed the direction of i2 to apply KVL more easily , therefore i got these equations :
i1(2+4) +3i3 - 24 = 0 (KVL)
i2(5+1) + 3i3 +12 = 0 (KVL)
i3 = i1 + i2 (KCL)

and i got right answer i1 = 3.5A , i2 = -2.5A (due to reversing the direction )

However , if i dont reverse i2 , am i able to use kvl with the second loop ? cause the current is not in the same direction and it confused me .
 
  • #6
gneill
Mentor
20,793
2,773
Just leave the currents defined as they are on the diagram. That will make sure that the signs of the currents that you obtain will agree with their definitions on the circuit diagram.

When you do your "KVL walk" around the loop, if you pass though a resistor in the same direction as its current then you have a potential drop. If you pass through a resistor against the current flow then you have a potential rise. Write the signs of the terms in your KVL equiations accordingly.
 
  • Like
Likes jake jungle
  • #7
OK I got it , thanks alot
 

Related Threads on DC current -- Find the 3 currents in this Battery + Resistor circuit

Replies
7
Views
3K
Replies
3
Views
893
Replies
2
Views
3K
Replies
8
Views
9K
Replies
19
Views
14K
Replies
0
Views
2K
  • Last Post
Replies
4
Views
487
Replies
4
Views
771
Replies
15
Views
26K
Top