Determine I_0 and I_1 in the circuit.

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. (Forgot Kirchhoff’s current law?) We also labeled I as current leaving node A towards node B (The direction is up to you).

### Node A:

### 4mA+2mA=I

### I=6mA

### Node B:

### I=3mA+I_0

### I_0=6mA-3mA

### I_0=3mA

### Node C:

### I_0=I_1+5mA

### I_1=-2mA

##### (Note the negative value means the direction given to us in the question for I_1 is opposite to the current flow in accordance with the passive sign convention.)

######
This question can be found in Basic Engineering Circuit Analysis, 10th edition, chapter 2, question 2.16.