# EC3 - RC values for V-2 R=2x10^8 ohm C=.5x10-6f so RC...

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VI 2) Graph of ln(v) vs. time for discharging capacitor V-1 T VS ln(Vr) V-1 y = -0.0064x + 2.2495 0 0.5 1 1.5 2 2.5 0 50 100 150 200 250 300 Time Voltage T VS Vr Linear (T VS Vr) slope = -.0064 Time Constant T = -1/slope = 156.25 seconds Graph of ln(v) vs. time for discharging capacitor V-2 Ln vs T y = -0.0132x + 2.2974 0 0.5 1 1.5 2 2.5 0 50 100 150 200 Time ln(v) ln(v) vs T Linear (ln(v) vs T ) Time constant = -1/slope = 75.75seconds

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Ln(vr) vs Time for Charging y = -0.0137x + 2.3106 0 0.5 1 1.5 2 2.5 0 50 100 150 200 Time ln(Vr) Ln(Vr) vs Time for changing Linear (Ln(Vr) vs Time for changing) y – intercept = 2.3106. e^I = 10 volts Time Constant = 72.99 seconds VI – 5 RC values for V-1 R = 2x10^8 ohm C = 1x10^-6f so RC (calculated) = 200s uncertainty of RC: Uncertainty = sqrt (((variation R)/R)^2 + ((variation C)/C)^2) * RC Uncertainty = sqrt(((1x10^7)/2x10^8)^2 + ((5x10^-8)/1x10^-6)^2) * 200 = 14.1s RC measured for V-1 = 156.25 this value is within the uncertainty limits
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Unformatted text preview: RC values for V-2 R=2x10^8 ohm C=.5x10-6f so RC calculated = 100s Uncertainty = 7.1s RC measured = 75s so this value is a lower than the expected uncertainty RC values for V-3 R=1x10^8 ohm C=1x10-6f so RC calculated = 100s Uncertainty = 7.1s RC measured = 72.99s so this is somewhat lower than expected within the uncertainty VI – 6 C2 = 1x10^-6f C1 = .22x10^-6f V1 = 28.77v V2 = 3.17v V1+V2 = 31.94v V1+V2 (expected) = 30v V1/V2 = 9.08 V1/V2 (expected) = 4.55 (from C2/C1) The sum V1+V2 is within expected limits, but the ratio of V1/V2 is not what is expected VI – 7 Step 5: V1/V2 = 30/24.08 = 1.25 1 + C1/C2 = 1.22 yes the result is within in the limits of error VII 2) R = (kg m^2)/(s^3 A^2) C = (s^4 A^2)/(kg m^2) the product of RC is in seconds, all other units cancel out 4) Q (t) = EC(1-e^(-t/RC)) Q (100) = 1 (1 - e^ - 2) = .87 joules...
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EC3 - RC values for V-2 R=2x10^8 ohm C=.5x10-6f so RC...

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