How do I find the currents through each component in a parallel battery circuit?

[tjkubo]

Homework Statement

Find the current through each component of the circuit.

Homework Equations

Kirchhoff's laws

The Attempt at a Solution

I labeled the current through the left battery I₁ and the current through the right battery I₂. Therefore the current through the resistor is I₁+I₂. Using the voltage rule, I₁+I₂ = .01 A.
I have no idea how to find I₁ and I₂. Would current flow through both of them?

 

[Hootenanny]

Homework Statement

Find the current through each component of the circuit.

Homework Equations

Kirchhoff's laws

The Attempt at a Solution

I labeled the current through the left battery I₁ and the current through the right battery I₂. Therefore the current through the resistor is I₁+I₂. Using the voltage rule, I₁+I₂ = .01 A.
I have no idea how to find I₁ and I₂. Would current flow through both of them?

HINT: Assume that batteries are identical (i.e. have the same internal resistance).

 

[tjkubo]

So each battery contributes half of the total current?

 

[LowlyPion]

That would seem to be the case.