Question

Vsig = 36 V

Rsig = 25 kOhms

RL = 8 Ohms

Amplifier2Speaker sig Rsig sig 7 Y K Vout kis on Vost peut & Given: 1. The 1-port defined by the dashed box represents an audio amplifier with an attached loudspeaker. The parameters Vsig and Rig are fixed (given in the parameter file) with non-zero values. The two dependent sources constitute a model for a device called an Ideal Transformer, which you will learn more about in ECE 2020 and then again in much greater detail in ECE 3610. In this homework problem the parameter, K, will be determined in part a). It should be noted that this problem is somewhat contrived, since a Transformer only works with time-varying signals. But, other principles are correct, and it is good to learn the fundamentals of Ideal Transformers in this simple scenario. 3. The load resistor, Rz, (also given in the parameter file) represents the electric circuit behavior of an audio loudspeaker. The given value for R, will be significantly lower than Rig. I.e., R, «Ri 4. The values: Vsig , Rsig , and R,, do not change throughout this problem. Do: a) Find the positive value of the parameter, K, such that load resistor, R,, (loudspeaker) absorbs maximum Volts power. On the left, one could say that K is in units of , while for the right side dependent Volt Amps source, one could say K is in units of Amp Don't bother with trying to express the final answer with appropriate units. If, for example, the numerical answer for K is 42, express your final answer to this part as: K = 42. b) Using the value of K found in part a) above, find the following: i. ii. PRthe power absorbed by the load resistor, Rz, (the loudspeaker ko) P. , the power supplied by the signal source, Vje, (the singer )