- 81

- 0

**1. Homework Statement**

**2. Homework Equations**

P

_{max}= ((V

_{Th})

^{2})/(4R

_{Th})

R

_{parallel}= (R

_{1}R

_{2})/(R

_{1}+ R

_{2})

KCL ΣI = 0

KVL ΣV = 0

**3. The Attempt at a Solution**

Okay, so to find R

_{Th}, I remove all independent sources and set the "terminals" at R to have a 1A current running through them. Since there is a 30kΩ resistor in parallel with the 1A current that I added, I assumed that the voltage across the 1A that I added was 30kV and that R

_{Th}= 30kV/1A = 30kΩ.

Then I returned to the initial circuit to find V

_{Th}. I applied nodal analysis such that v

_{1}= v

_{0}and v

_{2}= V

_{Th}.

Applying KCL @ v

_{1}:

(v

_{1}- 100)/10 + v

_{1}/40 + (v

_{1}- v

_{2})/22 = 0

Applying KCL @ v

_{2}:

(v

_{1}- v

_{2})/22 - .003v

_{1}+ v

_{2}/30 = 0

After simplifying and solving the system, I got v

_{1}= 70.1V and v

_{2}= 42.7V. Then I plugged v

_{2}into the equation for p

_{max}and I calculated .0152W. However, the solution in the back of the textbook says that the power should be infinity. What have I missed?