Objective: To study the charging and discharging process for a capacitor in a simple circuit containing an ohmic resistance, R, and a capacitance, C. Part 1: Capacitance of a Capacitor Raw Data: Direct Measurement of Time Constant Capacitor Initial Target Resistance Time Constant Voltage Voltage R (V) (V) (MO) (s) C1 50 18.4 10 54.58 C2 50 18.4 10 24.31 Voltage Decay of Capacitor C1 Vc (S) (V) 0 50 5 44.3 10 40.8 15 37.0 20 33.9 25 31.0 30 28.2 35 25.8 40 23.5 45 21.5 50 19.6 55 17.9 60 16.3 65 15.0Calculated Data: Capacitor Capacitance C1 5.458 C2 2.431 Calculations: Capacitance: C1 = 1 / R = 54.58s / 10MQ = 5.438pF C2 = t / R = 24.31s / 10MQ = 2.431pF Plot 1: (Either import plot into Word document or print out plot and insert page here. From the values of voltage and time in your data table, plot the voltage vs. time graph for capacitor C1. Have the computer draw the best exponential curve to the data and display the equation of the best fit.) Voltage vs. Time 60 50. y = 49.037e-0.018x 40 Vc(V) - 30 . ...... ............. ...................................... ... .................. 20 10 10 20 30 40 50 60 70 t(s)Plot 2: (Either import plot into Word document or printout plot and insert page here. From the values of voltage and time in your data table, make a semilog plot of voltage vs. time. The easiest way to do this in Excel is to format the voltage axis in Plot 1. In the \"Format Axis" window, choose the \"Scale" tab and click on logarithmic scale. The plot should automatically be generated.) Voltage vs. Time y = 49.0376\" (\"5' 100 Tlsl Part 2: Parallel and Series Combinations of Capacitors Raw Data: Direct Measurement of Time Constant Connection Initial Target Resistance Time Constant Voltage Voltage R V (V) (MO) (s) Parallel 50 18.4 10 78.20 Series 50 18.4 10 17.16 Calculated Data: Connection Experimental Theoretical Percent Difference Cea Cea (%) (HF) (UF Parallel 7.82 7.869 0.00622696657 Series 1.716 1.682 0.02021403091 Calculations: Parallel Experimental Capacitance: Cea = T / R = 78.20s / 10MQ = 7.82 F Parallel Theoretical Capacitance: Cea = C1 + C2 = 5.438 F + 2.431 F = 7.869UF Series Experimental Capacitance: Ceq = t / R = 17.16s / 10MQ = 1.716 F Series Theoretical Capacitance: Cea = C1C2 / (C1 + C2) = 5.458pF *2.431uF / (5.458 F + 2.431 F) = 1.682UFPart 3: Body Resistance Raw Data: Direct Measurement of Time Constant Fingertip Initial Target Meter Resistance Time Constant Condition Voltage Voltage Capacitance R1 T (V) (V) INF (s) Dry 5.0 1.84 100 10 9.84 We 5.0 1.84 100 10 6.40 Calculated Data: Fingertip Body Resistance Condition Req R2 (MO) (MO) Dry 0.0984 0.09937394415 Wet 0.0640 0.06441223832 Calculations: Dry Equivalent Resistance: Reg = t / C = 9.84s / 100HF = 0.0984MQ Dry Body Resistance: 1/R2 = 1/Reg - 1/R1 = 1/0.0984MQ - 1/10MQ = 1/10.063MQ R2 = 1/10.063MQ = 0.09937394415MQ Wet Equivalent Resistance: Reg = t / C = 6.40s / 100HF = 0.0640MQ Wet Body Resistance: 1/R2 = 1/Reg - 1/R1 = 1/0.0640MQ - 1/10MQ = 1/15.525MQ R2 = 1/15.525MQ = 0.06441223832M