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## Lab Practice

by: Jesse Notetaker

10

1

5

# Lab Practice IE 326

Jesse Notetaker
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Lab 4 PHY 158
COURSE
Planning for Productions & Services Enterprises
PROF.
Chase Murray
TYPE
Class Notes
PAGES
5
WORDS
CONCEPTS
Physics, lab
KARMA
25 ?

## Popular in Industrial Engineering

This 5 page Class Notes was uploaded by Jesse Notetaker on Monday August 15, 2016. The Class Notes belongs to IE 326 at University at Buffalo taught by Chase Murray in Fall 2016. Since its upload, it has received 10 views. For similar materials see Planning for Productions & Services Enterprises in Industrial Engineering at University at Buffalo.

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Date Created: 08/15/16
Jesse Iannarelli Due Date: 11/18/15 Lab EC4: Wheatstone Bridge Section 1: (Made in Excel) Unknown σ l R mDM Resistor l1(cm) l (2m) (cm) R 3Ω) M) A 50.6 49.4 0.1 150 147.63 B 48.3 51.7 0.1 200 215.5 C 51 49 0.1 400 385.8 D 51.2 48.8 0.1 1000 983.3 R x R (3 2 l1) 1 l2 σ = R ( + 2 )σ Rx 3 l1 l1 l Resistor A: R x R (3 2 l1) = (150)(49.4/50.6) = 146.442 Ω 1 l2 1 49.4 σ = R ( + 2 )σ = (150) ( + 2 )(.1) = .5858 Ω Rx 3 l1 l1 l 50.6 50.6 R x σ Rx = 146.4 ± .6 Ω R m 147.63 Ω The calculated resistance from the wheatstone bridge was very close to but not within the range of the resistance using the DMM. There was less than 1 Ω difference in value. The discrepancy in value could be brought upon because the σ l could have been a different value than the one assumed. Resistor B: R x R (3 2 l1) = (200)(51.7/48.3) = 214.078 Ω 1 l2 1 51.7 + 2 + σRx R (3 l1 l1 )σl= (200) ( 48.3 48.32 )(.1) = .857 Ω R ± σ = 214.1 ± .9 Ω x Rx R m 215.5 Ω The calculated resistance from the wheatstone bridge was very close to but not within the range of the resistance using the DMM. There was less than 1 Ω difference in value. The discrepancy in value could be brought upon because the σ l could have been a different value than the one assumed. Resistor C: R x R (3 2 l1) = (400)(49.0/51.0) = 384.313 Ω 1 l2 1 49.0 + + σRx R (3 l1 l1 )σl= (400) ( 51.0 51.02 )(.1) = 1.53 Ω R ± σ = 384 ± 2 Ω x Rx R m 385.8 Ω The calculated resistance from the wheatstone bridge was within the range of the resistance using the DMM. Resistor D: R x R (3 2 l1) = (1000)(48.8/51.2) = 953.125 Ω 1 l2 1 48.8 + + σRx R (3 l1 l1 )σl= (1000) ( 51.2 51.22 )(.1) = 3.814 Ω R ± σ = 953 ± 4 Ω x Rx R m 983.8 Ω The calculated resistance from the wheatstone bridge was close to but not within the range of the resistance using the DMM. There was less than 27 Ω difference in value. The discrepancy in value could be brought upon because the σ could havl been a different value than the one assumed. Section 2: Unknown σl R mDM Resistor l1(cm) 2 (cm) (cm) R 3Ω) M) A 50.4 49.6 0.1 150 147.63 B 48.6 51.4 0.1 200 215.5 C 52 48 0.1 400 385.8 D 51.2 48.8 0.1 1000 983.3 Resistor A: R x R (3 2 l1) = (150)(49.6/50.4) = 147.619 Ω 1 l2 1 49.6 σ = R ( + 2 )σ = (150) ( + 2 )(.1) = .5905 Ω Rx 3 l1 l1 l 50.4 50.4 R x σ Rx= 147.6 ± .6 Ω R m 147.63 Ω The calculated resistance from the wheatstone bridge was very close to but not within the range of the resistance using the DMM. There was less than 1 Ω difference in value. The discrepancy in value could be brought upon because the σ l could have been a different value than the one assumed. Compared to section 1 these values of resistance can overlap when considering uncertainty. Resistor B: R x R (3 /2l 1 = (200)(51.4/48.6) = 211.522 Ω 1 2 1 51.4 σRx R ( 3 + 2 )σ l (200) ( 48.6 + 2 )(.1) = .8467 Ω l1 1 48.6 Rx± σ Rx = 211.5 ± .8 Ω R m 215.5 Ω The calculated resistance from the wheatstone bridge was very close to but not within the range of the resistance using the DMM. There was less than 3 Ω difference in value. The discrepancy in value could be brought upon because the σ l could have been a different value than the one assumed. Compared to section 1 the values are very close within range to each other, however they do not overlap. Resistor C: R x R (3 /2l 1 = (400)(48.0/52.0) = 369.23 Ω l 1 + 2 1 + 48.0 σRx R ( 3 l 2 )σ l (400) ( 52.0 52.0 2 )(.1) = 1.479 Ω 1 1 R x σ Rx= 369 ± 1 Ω R m 385.8 Ω The calculated resistance from the wheatstone bridge was close to but not within the range of the resistance using the DMM. There was less than 16 Ω difference in value. The discrepancy in value could be brought upon because the σ could have l been a different value than the one assumed. Compared to section 1 these values of resistance are close within range to each other, however don’t overlap. Resistor D: R x R (3 /2l 1 = (1000)(48.8/51.2) = 953.125 Ω 1 l 1 48.8 + 2 + σRx R ( 3 l l )σ l (1000) ( 51.2 51.22 )(.1) = 3.814 Ω 1 1 R x σ Rx= 953 ± 4 Ω R m 983.8 Ω The calculated resistance from the wheatstone bridge was close to but not within the range of the resistance using the DMM. There was less than 27 Ω difference in value. The discrepancy in value could be brought upon because the σ could lave been a different value than the one assumed. Compared to section 1 the values of resistance were exactly the same. Section 3: Unknown C 3 C m Capacitor (nf) (nf) A 2.3 2.315 B 4 4.011 C = C = .022 ± .0022 µf 1 2 Cx= C 3C /2C )1= C 3 σCx σ C3 Capacitor A: Cx= 2.3 nf σ = .05(C ) = .115 nf Cx 3 C x σ =Cx.3 ± .115 nf Cm= 2.315 nf The two capacitance values are within range of each other. The one measured by the DMM and the calculated capacitance overlap each other. Capacitor B: Cx= 4 nf σCx .05(C )3= .2 nf C x σ =Cx ± .2 nf C = 4.011 nf m The two capacitance values are within range of each other. The one measured by the DMM and the calculated capacitance overlap each other.

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