Exponential Decay Essay

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Exponential Decay (TONY) Date: April 20th, 2014 1.0 Introduction: The aim of the experiment is to conform the law of exponential decay. We use two ways including determining the time constant of a capacitor and discovering the decay constant of a six sided die and its half life. Experiment A : Capacitor discharge 2.0 Experimental 2.1 Apparatus * Resistor (4700±10Ω) * Capacitor (1000 µF ±10%) * SPCO switch * Multi-meter * Stopwatch * Project board * Wire jumpers * DC Power supply (10.0±0.1V) 2.2 Procedure 1. Connect the circuit as the diagram below shown. 2. Close the switch to joggle 1 and charge the capacitor until the reading of the voltmeter become stable. 3. Open the switch immediately and close the switch to joggle 2 and discharge the capacitor. 4. Start the stop watch and use the IPhone as a camera to record the change of reading of voltmeter in 30 seconds. 5. Stop the stopwatch and open the switch. Use Excel to collect the data. 3.0 Data and Graph First of all, we draw a table to collect the data. Time/(±0.01s) | Voltage/(±0.01V) | LN(Voltage) | 0 | 13.71 | 2.61812549 | 3 | 10.41 | 2.34276688 | 6 | 6.32 | 1.84371921 | 9 | 4.16 | 1.42551507 | 12 | 2.82 | 1.03673688 | 15 | 1.89 | 0.63657683 | 18 | 1.35 | 0.30010459 | 21 | 0.98 | -0.0202027 | 24 | 0.69 | -0.3710637 | 27 | 0.51 | -0.6733446 | 30 | 0.38 | -0.967584 | And then we draw a graph using those data above. The gradient of the line | -0.12202 | 2.573096 | The Y-intersect of the line | The error of the gradient | 0.002662 | 0.047249 | The error of the Y-intersect

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