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## Homework Statement

Find the current through R2 (see attached figure)

## Homework Equations

## The Attempt at a Solution

Not really sure if I did this right, would like if someone would double check my work:

First I tried Using Kirchhoff equations for a node and I got:

I1-I2+I3=0

Next I broke it down into two loops using the fact that the voltage drops across a closed loop is zero:

Loop 1: V1-3*I1-5*I2=0

Loop 2: V2-8*I3-5*I2=0

Using the second equation I got:

8*I3=V2-5*I2

I3=(V2-5*I2)/8

Next, plugging that into the Kirchhoff equation, I can solve for I1 in terms of I2:

I1=I2+(5*I2-v2)/8=(13*I2)/8

Lastly, plugging the values for I1 and I3 into the loop 1 equation, I get:

V1=3((13*I2-V2)/8)+5*I2

V1=(39*I2-3*V2)/8 + (40*I2)/8= (79*I2-45)/8

Using V1=5:

40=79*I2-45

85=79*I2

I2=1.08A

I am not confident in that answer though :/

Any help would be great!

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