Final answer:
To determine ix in the given circuit, apply the junction rule and loop rule.
Step-by-step explanation:
Determining ix in the Circuit
To determine the value of ix in the given circuit, we need to apply the junction rule and loop rule.
- Applying the junction rule, we have: ix = I1 + I4
- Applying the loop rule, we have: V1 + V3 + V4 = 0
- Substituting the given values, we get: 42 + 6 - 18ix - 18 - 6ix = 0
- Simplifying the equation, we find: 24ix = 48
- Dividing both sides by 24, we get: ix = 2
Therefore, ix in the circuit is 2.