Experiment EC3 RC

# Experiment EC3 RC - 90-0.057 100-0.106 110-0.163 120-0.213...

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Experiment EC3 RC-Circuits VI-2 – The data for section V-1 and V-2 is shown below. Using excel the data was graphed and with the Linest function slope was found and used to find the time constant. V-1 time (seconds) V-1 ln(V) (volts) V-2 time (seconds) V-2 ln(V) (volts) 10 0.334 10 0.281 20 0.284 20 0.165 30 0.226 30 0.057 40 0.176 40 -0.051 50 0.125 50 -0.163 60 0.070 60 -0.254 80 -0.045 70 -0.362 100 -0.154 80 -0.476 120 -0.247 90 -0.585 140 -0.358 100 -0.683 160 -0.467 110 -0.792 180 -0.573 120 -0.889 200 -0.675 130 -0.997 220 -0.783 140 -1.109 240 -0.892 150 -1.207 Slope -.005 Y int 0.388 160 -1.313 Uncertainty in slope 1.33E-05 Uncertainty in int 0.002 Slope -.010 Y int 0.0375 Uncertainty in slope 3.07E-05 Uncertainty in int 0.003 Slope = -1 therefore τ = - 1 τ S V-1 τ = -1 = 200 seconds - .005

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V-2 τ = -1 = 100 seconds -.010 VI-4 - In this section the data for V- 3 is shown below. Using excel the data was graphed and with the Linest function slope was found and used to find the time constant. V-3 time (seconds) V-3 ln(V) (volts) 10 0.371 20 0.317 30 0.267 40 0.213 50 0.159 60 0.103 70 0.052 80 -0.002

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Unformatted text preview: 90-0.057 100-0.106 110-0.163 120-0.213 130-0.269 140-0.320 150-0.370 160-0.426 Slope -.005 Y int 0.424 Uncertainty in slope 9.55E-06 Uncertainty in int 0.0009 Slope = -1 therefore τ = - 1 τ S V-3 τ = -1 = 200 seconds - .005 VI-5 – The calculations τ exp is shown below. V-1 exp τ exp = 200 seconds V-1 calc τ calc = R 1 C 2 = (2.0E8 Ω )(1.0E-6 F) = 200 seconds V-2 exp τ exp = 100 seconds V-2 calc τ calc = R 1 C 3 = (2.0E8 Ω )(5.0E-6F) = 1000 seconds V-3 exp τ exp = 200 seconds V-1 calc τ calc = R 1 C 2 = (2.0E8 Ω )(1.0E-6 F) = 200 seconds V-1 σ τ (calc ) = τ calc =(200) = seconds V-2 σ τ (calc ) = τ calc =(1000) = V-3 σ τ (calc ) = τ calc =(200) = seconds V-1 τ calc = 200 ± V-2 τ calc = 1000 ± V-3 τ calc = 200 ± VII 2. τ = RC =(ohm)(Farad) =(Volts) (Coulomb) Ampere Volt =(Volts second) (Coulomb) Coulomb Volt = second 4. q = Q(1 – e-τ /t ) q =(1- e-100/50 ) Q q = (1-e-2 ) Q q = 86 C Q 100...
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