Theory procedure 1 connect the six circuit leads to

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Theory : Procedure : 1) Connect the six circuit leads to their proper components excluding for one battery lead. 2) After TA approves circuit, set R to 300 ohms and close the switch S. Write down the readings for the current, voltage, and power output (I*V) for the given resistance values (300 – 33). 3) Use caution as R approaches its maximum power output, r, and record results accurately. Data/Analysis: Table 1 Resistance (ohms) I (milliamps) V (Volts) Power (Amps*Volts) [W] 300 8.2 2.40 0.0197 200 11.2 2.25 0.0252 100 18.8 1.90 0.0357 90 20.2 1.80 0.0364 80 22.0 1.75 0.0385 70 23.8 1.70 0.0405 60 26.0 1.60 0.0416
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50 28.8 1.50 0.0432 48 29.4 1.46 0.0429 46 30.1 1.41 0.0424 44 30.7 1.38 0.0424 42 31.5 1.35 0.0425 41 31.8 1.32 0.0420 40 32.1 1.30 0.0417 39 32.5 1.29 0.0419 38 33.0 1.28 0.0422 37 33.3 1.27 0.0423 36 33.7 1.25 0.0421 35 34.2 1.24 0.0424 34 34.8 1.21 0.0421 33 35.1 1.19 0.0418 The Power is computed by simply multiplying the voltage and amperage values. For example:
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Problems: 1) Show that Eq. (4) follows from Eq. (1) and (3), and that Eq. (4) with Eq. (5) gives P max =E 2 /4r. Eq. (1) and (3) show us that: And that: Therefore: And finally, our result matches Eq. (4): Now, we will prove that Eq. (4) and (5) can be combined to achieve the desired equation: Eq (5) states that R=r when P is at a maximum Therefore:
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Which can be reduced for the desired result: 2) Determine the experimental values for E and r using the data from the first graph and equation (2).
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