Chapter 3, Problem 3.65P

You have successfully completed the first course in Circuits I, and as part of an undergraduate work—study program your former professor has asked you to help her grade a Circuits 1 quiz. On the quiz, students were asked to find the power supplied by the source both to the $10\text{-kΩ}$ load $\left(R_{\text{L}}\right)$ and to the entire circuit as shown in Figure P3-65. Your professor asks you to help her by creating a grading sheet.

1. Solve the quiz and establish reasonable A, B, C, D, and F cuts for incorrect solutions.
2. A particular student correctly finds the Thévenin equivalent circuit seen by the resistive load and calculates the power to the load using $v_{\text{T}}{}^2/R_L.$ He then does a source transformation, correctly finding the Norton equivalent of the circuit. He calculates the source power using $v_{\text{T}}\times i_N.$ What grade would you give him?
3. Another student finds $p_L=5.625\text{mW}$ and $ps=22.5\text{mW,}$ but provides no work to justify her answers. What grade would you give her?
4. A third student first finds the Norton equivalent, and then finds the current through the load using a current divider and calculates the power in the load using $i_{L^2}{R}_L.$ He figures correctly what the parallel voltage would be across the Norton circuit and the load $v_L,$ and then calculates $ps=i_N\times v_L.$ What grade would you give him?