caa_dundooah_249 - 0/35 Spring Quarter 2008 Experiment:...

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0 /35 Spring Quarter 2008 Spring Quarter 2008 Experiment : Capacitors Your name: Anish Dundoo Partner: Vincent Servizzi Performed on: 1 st May, 2008 TA: Huard Zach Section number: 249 Promptness % (100 means it was on time): 100 Additional Scores (+)/Penalties (-): Please insert your material in the space after the yellow boxes, not in the boxes themselves. Abstract (4) In this experiment, several circuits were constructed to find the capacitance of different capacitors. Using the science workshop, we found the different voltages running through the resistors at different times. The readings of the time and voltage were considered using the Data Studio. These readings were categorized into, C1 charging, C1 discharging, C1 and C2 Parallel discharging, C1 and C2 Series discharging. These results were then employed to calculate the charge and time intervals. The experimental values for C1 charging and discharging of 137.5±0.7 ( F) compared closely to the theoretical value of 117±15.9 ( F). The graph μ μ of Capacitor Charge vs. Time was exponential and hence proved the experiment. Sample Calculations (5) Calculating t-t 0 (s): t - = . t0s 1 15sec - . 1 148sec t - =. t0s 02 Sec Calculating the normalized voltage (V): ( )= Vnormalized V VV0
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Error: Reference source not found, 09/17/04, Error: Reference source not found ( )= . . Vnormalized V 3 8183 99 =. VnormalizedV 956 Calculating RC (s): = RCs - 1lne - 1RC = RCs - 1lne - . 1326 7 Ω *( * 43 10^ - ( )) ; = * ( 6 F 1 s 1F 1 Ω ) = . RCs 0 044819 Sec Calculating the Uncertainty of RC divided by RC: { } = * u RC RC RC u1RC { } = . u RC RC 0 044 * . sec 0 11171sec { } = . u RC RC 0 005 Calculating the value of C experimental ( C μ )= F RCR * 106 C μ = . . F 0 044s325 7 Ω * * 1 106 = . C 137 6μF Calculating the uncertainty of u{C experimental } = * { } + { } uZ Z2 u A A2 u B B2 { } u C μ = : F RCR can be written as uC μ = * + { } F C uRCRC2 u R R2 Page 2 of Word document
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Error: Reference source not found, 09/17/04, Error: Reference source not found uCμ = . ( F 137 6 μ )* . F 0 005 . + . s0 044s2 0 4 Ω . 325 7 Ω 2 uCμ = . F 0 7 Calculating the uncertainty of u{C} of the meter: uCmeterμ = . * + F 0 05 Cmeter 10 uCmeterμ = * . F 5100 117 0μ + F 10 uCmeterμ = . F 15 9 Calculating the Theoretical Value of C for the Parallel Discharge ( F): μ Cparallelμ = + F C1 C2 Cparallelμ = F 117μ + F 358μF Cparallelμ = . F 475 0 Calculating the Uncertainty of the Theoretical Value of the Parallel Discharge ( F): μ , = + { } From the equation
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caa_dundooah_249 - 0/35 Spring Quarter 2008 Experiment:...

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