1_230 Lab Manual Winter2016.pdf

100 lab exercise 6 impedance matching and frequency

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100 Lab Exercise 6: Impedance Matching and Frequency Tuning Objective In this Lab Exercise, students will learn about matching circuits that are implemented with lumped elements (inductors and capacitors). By using matching circuits, the efficiency of the wireless nonN radiative power transfer system will be maximized. The effects of frequencyNtuning will also be explored. General topics to be covered Lumped element matching circuits FrequencyNtuned, wireless nonNradiative power transfer systems Lighting up a lightNemitting diode (LED) using a WNPT system Use frequency tuning to maintain the brightness of the LED I. [email protected] Assignment 1. Read Section 2N11 on Impedance Matching in the textbook. 2. Read through the entire Lab Exercise. 3. Summarize the experimental procedures in your lab notebook (1 paragraph per experiment): (a) Experiment 6.2 (b) Experiment 6.3 4. Perform Experiment 6.1. 5. Answer Analysis 1 from Experiment 6.2. II. Introduction In the previous two labs, inductivelyNcoupled, shieldedNloop resonators were introduced for the purposes of wireless nonNradiative power transfer. In this Lab Exercise, we will optimize the power transfer efficiency of the system using impedance matching and deliver power wirelessly to a lightN emitting diode (LED). To do this, we introduce the concept of complexUconjugate matching . ComplexOConjugate Matching Consider the simple circuit shown in Fig. 6.1. We can find an expression for the power delivered to the load using simple circuit analysis. The voltage across the load ! ! and the current through it are: ! ! = ! ! ! ! ! ! + ! ! ! = ! ! ! ! + ! !
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