Electricity and Kirchhoff's Laws

[Pulser18]

Homework Statement

Given two batteries in parallel, one of 10V and 5Ω, and the other of 5V and 2Ω, which is attached to a 3Ω resistor, find the current that flows from the 10V battery, if the system described above is connected to a 20 resistor.

Homework Equations

Kirchhoff's two laws : (1) Current entering a junction = current leaving junction, (2) Algebraic sum of emfs = sum of all potential drops;

V = IR

The Attempt at a Solution

I think I used the laws correctly, and ended up with a final answer of 1.56 A. My attempt is attached below (the 2nd photo).

Thing is, I'm not sure if this is correct...

 

[gneill]

Homework Statement

Given two batteries in parallel, one of 10V and 5Ω, and the other of 5V and 2Ω, which is attached to a 3Ω resistor, find the current that flows from the 10V battery, if the system described above is connected to a 20 resistor.

Homework Equations

Kirchhoff's two laws : (1) Current entering a junction = current leaving junction, (2) Algebraic sum of emfs = sum of all potential drops;

V = IR

The Attempt at a Solution

I think I used the laws correctly, and ended up with a final answer of 1.56 A. My attempt is attached below (the 2nd photo).

Thing is, I'm not sure if this is correct...

Your solution looks fine.