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UB PHY 152LAB - Physics Laboratory Report

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Physics Laboratory Report PHY 152 EC3 RC-CircuitsDo at homeV-1 Charging through a 100 Ohm resistorV-4 discharging through a 220 Ohm resistorV-5 Capacitance measurementsPhysics Laboratory Report PHY 152 EC3 RC-Circuits Do at home Trial # Time(s) Voltage (v) 1 5:60 7.13 2 10:64 5.79 3 15:60 4.70 4 20:62 3.81 5 25:69 3.09 =� RC 24ohms.F As time went by the voltage decreased.V-1 Charging through a 100 Ohm resistor V (Volts) t (sec) Ln │VR│ Volts 3.856 20 1.34963 3.076 40 1.12363 2.537 60 0.930982 2.118 80 0.750472 1.786 100 0.579978 1.523 120 0.420682 1.306 140 0.266969 1.137 160 0.128393 0.999 180 -0.001 σ 0.0003 slope � −1 -.00837 Comparing Ln |VR| =ln |ε| −�τ to y=b +sx, the slope is s = −1τ ∴τ = −1� = −1−.00837 = 119.47 s τ√(� ��)2= 119√(.0003−.0084)2= 4.2 = 4 ��� ∴τ=119 ± 4s y = -0.1674x + 1.4538-0.200.20.40.60.811.21.41.620 40 60 80 100 120 140 160 180ln│VR│Voltstime (s)ln│VR│Volts vs time(s)=ln |ε| −τ∴τ = −1 = −1 = 96.45V-2 Discharging through a 100 Ohm resistor V (Volts ) t (sec) ln│VR│Volts 3.662 20 1.298009 2.997 40 1.097612 2.414 60 0.881285 1.959 80 0.672434 1.591 100 0.464363 1.286 120 0.251537 1.052 140 0.050693 0.855 160 -0.15665 0.704 180 -0.35098 σ 0.000412 slope �−1 -.01036735 Comparing Ln |VR| � to y=b +sx, the slope is s = s � −.01036735 ���∴τ= 96 ± 4s y = -0.2073x + 1.5043-0.6-0.4-0.200.20.40.60.811.21.420 40 60 80 100 120 140 160 180ln│VR│Volts Time (s)ln│VR│Volts vs timeV-3 Charging through a 220 Ohm resistor V (Volts ) t (sec) ln│VR│Volts 4.284 20 1.454887 3.827 40 1.342081 3.442 60 1.236053 3.112 80 1.135266 2.824 100 1.038154 2.565 120 0.941958 2.343 140 0.851432 2.139 160 0.760338 1.964 180 0.674983 σ .0000738 slope �−1 -0.00485616 Comparing Ln |VR| sx, the slope is s = s � −.00485616��� ∴τ= 205 ± 30s y = -0.0971x + 1.53400.20.40.60.811.21.41.620 40 60 80 100 120 140 160 180ln│VR│VoltsTime (s)ln│VR│Volts VS TimeV-4 discharging through a 220 Ohm resistor V (Volts ) t (sec) ln│VR│Volts 4.208 20 1.436987 3.807 40 1.336841 3.463 60 1.242135 3.154 80 1.148671 2.879 100 1.057443 2.611 120 0.959733 2.38 140 0.8671 2.17 160 0.774727 1.978 180 0.682086 σ 0.000161 slope �−1 -.00470413 Comparing Ln |VR| sx, the slope is s = s y = -0.0941x + 1.526600.20.40.60.811.21.41.620 40 60 80 100 120 140 160 180ln│VR│VoltsTime (s)ln│VR│Volts vs Time� −.00470413 ��� ∴τ= 213 ± 9s V-5 Capacitance measurements Ca 2.58 *10−9 Farad Cb 4.79*10−9 Farad 1 1 1 ��=−17 �� 1.236∗10 �� Cs = 1.68*10−9 Farad Cp = Ca+ Cb Cp = 2.58 *10−9 + 4.79*10−9 = 7.37 *10−9 Measured Parallel 7.37*10−9 Farad Measured Serries 1.68*10−9 Farad


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