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VI-1σV = 0.001V σI = 0.0005AV(v) I(mA) RDMM(Ω)6.098 40 147.56.450 29 215.06.834 16 385.87.156 6 980.1Sample calculation of resistanceI=40mA 1A/1000mA = 0.04ARA= VA/IA = 6.098/0.04 = 152.45 ΩThus,RB =222.4137931 ΩRC = 427.125 ΩRD = 1192.66667 ΩUsing the equation C=A/B => σC = C√¿ ¿,Sample calculation for σRAI=40mA 1A/1000mA = 0.04AσRA = RA√¿ ¿ = 1.905788981 ΩThus,σRB = 3.834875606 ΩσRC = 13.34780258 ΩσRD = 99.38902891 ΩRA ± σRA = 152 ± 2 ΩRB ± σRB = 222 ± 4 ΩRC ± σRC = 430 ± 10 ΩRD ± σRD = 1200 ± 100 ΩEach directly measured value of R does not agree with each resistance as determined by the measurement of V and I for each resistor.VI-2V(v) I(mA)7.944 496.027 404.601 303.128 201.594 10slope0.158935-0.07746y-interceptuncertainty of slope0.006820.224137uncertainty of y-intercept5 10 15 20 25 30 35 40 45 50 550123456789f(x) = 0.16 x − 0.08V vs. II (mA)V (Volts)Since Slope= s = R, R=0.158935 kΩSince σs = σR ,σR = 0.00682 kΩR ± σR = 0.158 ± 0.007 kΩAn ohmic conductor obeys Ohm’s law, that is expressed with as V=IR. The resistor is an ohmic conductorbecause the plot is a constant straight line, which indicates that resistance is constant.VI-3V(v) I(mA)0.20 00.40 00.60 00.65 40.70 170.71 210.72 270.73 350.74 450.75 490 10 20 30 40 50 6000.10.20.30.40.50.60.70.8V vs. II (mA)V (volts)Resistance when diode at 0.60v is undefined because the denominator, which is current, is zero.Sample calculation of Resistance when diode is at 0.65v I=4mA x 1A/1000mA = 0.004AR= V/I = 0.65/0.004 = 162.5ΩThus,R when diode at 0.70v = 41.17647059ΩAn ohmic conductor obeys Ohm’s law, that is expressed with as V=IR. Diode is not an ohmic conductor since the plot is not a constant straight line which indicates resistance is not constant.VI-4Calculated value of RSI=5mA 1A/1000mA = 0.005ARS = VS/IS = 10.716/0.005 = 2143.2 ΩCalculation of σRSI=5mA 1A/1000mA = 0.005AσRS = RS√¿ ¿ = 2143.2 √¿ ¿ = 214.3200933ΩRS ± σRS = 2100 ± 200 ΩExpected value of RSRS = RA + RB + RC + RD = 152.45 + 222.4137931 + 427.125 + 1192.66667 = 1994.655463 ΩUsing the formula C= A + B => σC = √σA2+ σB2σRScan be calculatedσS = √σRA2+ σRB2+σRC2+ σRD2=√1.9057889812+3.8348756062+13.347802582+99.389028912=¿ 100.3727115 ΩRS ± σRS = 2000 ± 100ΩThese two values of resistance agree with each other.RDMM = 1729.2 ΩTwo values of resistance above do not agree with the series resistance as measured by the DMM.VI-5Calculated value of RPI=5mA 1A/1000mA = 0.005ARP = VP/IP = 0.392/0.005 = 78.4 ΩCalculation of σRPI=5mA 1A/1000mA = 0.005AσRP = RP√¿ ¿ = 78.4√¿ ¿ = 7.842550606 ΩRP ± σRP = 78 ± 8 ΩExpected value of RP 1RP=1RA+1RB+1RC+1RD=1152.45+1222.4137931+1427.125+11192.66667=0.014235344 ΩRP = 70.24768781ΩUsing the equation 1C=1A+1B => σC= C2√¿ ¿,σRP can be calculated with following equation1RP=1RA+1RB+1RC+1RD=¿> σRP = RP2√¿ ¿ =(70.24768781)2√¿ ¿ = 0.7478853235 ΩRP ± σRP = 70.2 ± 0.7 ΩThese two values of resistance agree with each other.RDMM = 66.5 ΩTwo values of resistance above do not agree with the parallel resistance as measured by the


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UB PHY 152LAB - EC1 Lab

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