Relation between currents

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1. Oct 12, 2016

math4everyone

1. The problem statement, all variables and given/known data
I have the following circuit

What is the relation between $$I_{eq}~~and~~ i_1, i_2, i_3$$?
2. Relevant equations
Kirchhoff Laws

3. The attempt at a solution
See the image above

2. Oct 12, 2016

kuruman

You have correctly found that i1=i2+i3. What can you say about the relative size of i2 and i3?

3. Oct 12, 2016

math4everyone

I think they are equal

4. Oct 12, 2016

kuruman

They are, but do you know the reason why?

5. Oct 12, 2016

math4everyone

Yes:

6. Oct 13, 2016

kuruman

OK great. You have found the relations between i1, i2 and i3. All that remains is how Ieq. fits in the picture. Any ideas?

7. Oct 13, 2016

math4everyone

I would say it's the same as i1 because it's the same current that flows through the resistors.

8. Oct 13, 2016

kuruman

Correct. It looks like you are done.