Find I_x, I_y, and I_z in the network.

Image from: Irwin, J. David., and R. M. Nelms. Basic Engineering Circuit Analysis, Tenth Edition. N.p.: John Wiley & Sons, 2010.

#### Solution:

### We will write Kirchhoff’s current law for each of the nodes that we picked (picked arbitrarily, pick ones that are the easiest to write equations for). (Forgot Kirchhoff’s current law?)

### Node A:

### 12mA=3mA+I_x

### I_x=9mA

### Node B:

### I_z+4mA=2mA

### I_z=-2mA

### Node C:

### 12mA+I_y+I_2=0

### I_y=2mA-12mA

### I_y=-10mA

##### The negative values tells us that the way we represented current leaving or entering a node is the opposite of what we chose.

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This question can be found in Basic Engineering Circuit Analysis, 10th edition, chapter 2, question 2.18.