Lab 6 "The Magnetic Field in a Slinky." Turn on the power supply an reads 20 A when the switch is held closed. ugh the wines and Slinky. Only close the switch why commut flows when you an ubing at The Skinly. since, and poubly the prowl 4. Ifthe mamaic Bold inalcance when the are ready to take dum. If the field dracu anes through the wire, a magnetic field is present supply may get bot if left on cont when you close the swingh, notuse the Ma Isle 3. Open the file 39 Magnetic Field in Sticky" In the Physics not Computers folder A graph will appear With the Magnetic Field Sensor in position and the switch open, click the Zeng human. [The], to sere ach a of the solenoid. By inserting a Magnetic Field Sensor between the colla of the Stinky. the sensor and remove readings doc to the Earth ctic field inside the coil. You will al meability o miah OBJECTIVES PRELIMINARY QUESTIONS: 7. Click click no begin data collection. Chong the switch for at least 10 seconds during the data c Hold the switch cloud. The c out should be 2.0 A. Place the Magne be Field Se 8. View the field us. time graph and determine the region of the curve where the cuncat was flowing in the ber of burma par meter in a so of the Slinky mour its center Rotate the armsor and diet win. Select thisregion on the graph by dragging over it. Determine the average fuld through while the dy how the field vari woncal was on by clicking the Sumities boom Rowend the average field in the dain bible. since the value of pig. the pe 1 What happens you modme the white dot to point the appealto way? What happens if you note the white ocular to the avis of the solepaul Increase the coment by 05 A and repeat Sups ? and &. Sock the Magnetic Field Someor through diffonget locations along the Stinky to repton how the fold be Slinky. Howdoon the magnetic field inside the sol doccon to wary along its length? Slinky of the coda, do not count it for cilla engh. Calculate the number of tomi per 4. Check the magnetic fidd imensity just outside the so cher of the stretched portion. Record the ber of tums per meter in the Part II Magnetic Field va. Number of Tuma per lon PROCEDURE: For the sooond part of the experiment, you will detc e center of a coil and the saber of hums of wire per meter of the solenoid. You will keep the Part I Magnetic Field vs. Current in a Sole ant. Leave the Slinky set up as shown in Figure 1. The armor will be ariveted an it was before, so Figure ! For the fint part of ly maps on itsna Jem to change file MATERIALS: center of a solenoid and DC power supply with switch Logger Pro jectiam in the metal of the Slinky. Sin Vernier Magnetic Field Smood ameter cardboard spoon Close lite switch and notme the seasor so that the white but pot shots Stoutly down the long anis of the adenoid. This will by the pool on for all of the mag the slinky is made of an iron allay, it can be mageand built Moving the Shady around am cut a units for the most of this lab change in the field, even if me comment is flowing you will bood to meis the reading go Se Mal INITIAL SETUP. collection. An before, leave the raunch cloud only during actual data collection. 1. Connect the Vemier Magnetic Might on Be graph by dragging over it. Find the average field while the cement was on by clicking on the istics bumon, 59 Count the member of ums of the Slinky and moscone its bough. If you have an Soutch de Sily withabout ImIng The & ace between the coils should be about I am. Un a welichod part of the Slinky on the ends, do not count it for cider the hums or the length. Roc oh the Slinky an his Ing h of the Stinky and the werage field in the duis table. If. Repon Stops 13 - 15 after changing the length of the Sily. Each time, sero the Magnetic Field Senior Sonal caleraall ammeint.DATA TABLES: Part I Electric Current I(A) Magnetic Field B (mT) Length of solenoid 1.25 Number of turns 181 Turns/meter (m-1 Part II + Length of solenoid Turns/meter Magnetic field L(m n ( m ]) B (mT) Current (A) 2.0 Number of turns in Slinky 181 ANALYSIS: 1. Use Logger Pro to create a graph magnetic field B vs. the current / through the solenoid. 2. How is magnetic field related to the current through the solenoid? 3. Determine the equation of the best-fit line, including the y-intercept. Note the constants and their units. 4. For each of the measurements of Part II, calculate the number of turns per meter. Enter these values in the data table.5. Use the slope and determine the permeability of the free space (Ho ) B = HON 1 = slopel- slope = MON L 6. Determine the percentage error with the true Mo = 4x X 10-7_m 7. Use Logger Pro and graph of magnetic field vs. Length (B vs. L). Obtain the equation of best fit for this relationship, describe the relationship. 8. Use Logger pro and graph of Magnetic Field vs the number of turns per unit of length (B vs. n). Get the Linear regression, explain the meaning of the slope and the y-intercept. 9. Use the slope and determine the permeability of the free space (Mo) B = MoIN() = slopeCT) yields slope = HoIN 11. Ampere's law, it can be shown that the magnetic field B inside a long solenoid is B = Honl where / is the permeability constant. Do your results agree with this equation? Explain. 12. Was your Slinky positioned along an east-west, north-south, or on some other axis? Will this have any effect on your readings? 13. Our slinkies are made from steel, so they contain Iron. Does the material of the slinky influences the value of the magnetic field? Why? CONCLUSIONS: 1. Definitions: Magnetic Field, Sources of Magnetic Field, Gauss's Law for Magnetism, Ampere's Law, magnetic materials classification. 2. Include a brief explanation of how in MRI (magnetic resonance imaging) work, and how the magnetic field in MRI machines is created. 3. Physical Meaning of the Slope and the y-intercepts 4. Derivation of Equations and Mathematical representation of Definitions: Especially that of the magnetic field of a solenoid. 5. Sources of errors.L=0.6m L=1.0m L=1.4m L=1.8m L=2.2m L=2.6m Time B Time B Time B Time B Time B Time B (s) (mT) (s) (mT) (s) (mT) (s) (mT) (s) (mT) (s) (mT ) 0.00 0.758 0.00 0.427 0.00 0.337 0.00 0.258 0.00 0.219 0.00 0.187 0.05 0.754 0.05 0.424 0.05 0.333 0.05 0.254 0.05 0.219 0.05 0.183 0.10 0.754 0.10 0.424 0.10 0.337 0.10 0.254 0.10 0.219 0.10 0.183 0.15 0.754 0.15 0.424 0.15 0.341 0.15 0.254 0.15 0.219 0.15 0.187 0.20 0.754 0.20 0.427 0.20 0.341 0.20 0.254 0.20 0.219 0.20 0.187 0.25 0.754 0.25 0.427 0.25 0.341 0.25 0.254 0.25 0.223 0.25 0.183 0.30 0.758 0.30 0.427 0.30 0.337 0.30 0.250 0.30 0.223 0.30 0.183 0.35 0.758 0.35 0.427 0.35 0.333 0.35 0.254 0.35 0.223 0.35 0.179 0.40 0.754 0.40 0.427 0.40 0.337 0.40 0.250 0.40 0.223 0.40 0.183 0.45 0.758 0.45 0.427 0.45 0.337 0.45 0.254 0.45 0.223 0.45 0.183 0.50 0.754 0.50 0.424 0.50 0.341 0.50 0.254 0.50 0.219 0.50 0.187 0.55 0.754 0.55 0.424 0.55 0.337 0.55 0.250 0.55 0.219 0.55 0.183 0.60 0.754 0.60 0.424 0.60 0.341 0.60 0.258 0.60 0.219 0.60 0.187 0.65 0.754 0.65 0.424 0.65 0.337 0.65 0.250 0.65 0.219 0.65 0.183 0.70 0.758 0.70 0.424 0.70 0.333 0.70 0.250 0.70 0.223 0.70 0.183 0.75 0.754 0.75 0.427 0.75 0.341 0.75 0.258 0.75 0.219 0.75 0.183 0.80 0.758 0.80 0.427 0.80 0.337 0.80 0.254 0.80 0.219 0.80 0.183 0.85 0.758 0.85 0.427 0.85 0.337 0.85 0.258 0.85 0.219 0.85 0. 183 0.90 0.754 0.90 0.427 0.90 0.341 0.90 0.258 0.90 0.219 0.90 0.187 0.95 0.754 0.95 0.431 0.95 0.337 0.95 0.254 0.95 0.215 0.95 0.183 1.00 0.754 1.00 0.424 1.00 0.337 1.00 0.254 1.00 0.219 1.00 0.183 1.05 0.754 1.05 0.427 1.05 0.341 1.05 0.250 1.05 0.219 1.05 0. 187 1.10 0.754 1.10 0.431 1.10 0.341 1.10 0.250 1.10 0.219 1.10 0.187 1.15 0.754 1.15 0.431 1.15 0.341 1.15 0.254 1.15 0.219 1.15 0.191 1.20 0.758 1.20 0.431 1.20 0.337 1.20 0.254 1.20 0.219 1.20 0.187 1.25 0.758 1.25 0.427 1.25 0.337 1.25 0.250 1.25 0.215 1.25 0.187 1.30 0.758 1.30 0.427 1.30 0.341 1.30 0.250 1.30 0.215 1.30 0.187 1.35 0.754 1.35 0.427 1.35 0.341 1.35 0.250 1.35 0.219 1.35 0.187 1.40 0.758 1.40 0.427 1.40 0.341 1.40 0.250 1.40 0.219 1.40 0.187 1.45 0.754 1.45 0.427 1.45 0.341 1.45 0.254 1.45 0.219 1.45 0.191 1.50 0.758 1.50 0.427 1.50 0.337 1.50 0.254 1.50 0.227 1.50 0. 187 1.55 0.754 1.55 0.427 1.55 0.337 1.55 0.250 1.55 0.219 1.55 0.187 1.60 0.754 1.60 0.427 1.60 0.337 1.60 0.250 1.60 0.215 1.60 0. 187 1.65 0.754 1.65 0.427 1.65 0.337 1.65 0.254 1.65 0.215 1.65 0. 187 1.70 0.758 1.70 0.427 1.70 0.337 1.70 0.250 1.70 0.211 1.70 0.187 1.75 0.758 1.75 0.427 1.75 0.337 1.75 0.250 1.75 0.215 1.75 0.183Magnetic Field (mT) 0.7 .0 01 Statistics for: L=1.4m | Magnetic Field min: 0.3290 at 3.650 max: 0.3408 at 0.1500 mean: 0.3374 median: 0.3369 std. dev: 0.002492 samples: 101 AB: 0.012 Statistics for: L=1.8m | Magnetic Field min: 0.2463 at 2.150 max: 0.2581 at 0 mean: 0.2526 median: 0.2542 std. dev: 0.002854 samples: 101 AB: 0.012 Statistics for: L=1.0m | Magnetic Field min: 0.4196 at 1.900 max: 0.4314 at 0.9500 mean: 0.4272 median: 0.4274 std. dev: 0.002774 samples: 101 AB: 0.012 Statistics for: L=2.2m | Magnetic Field min: 0.2069 at 3.650 max: 0.2266 at 1.500 mean: 0.2160 median: 0.2148 std. dev: 0.003502 samples: 101 AB: 0.020 Statistics for: L=0.6m | Magnetic Field min: 0.7503 at 2.800 max: 0.7622 at 2.300 mean: 0.7566 median: 0.7582 ' std. dev: 0.002563 samples: 101 AB: 0.012 Statistics for: L=2.6m | Magnetic Field min: 0.1794 at 0.3500 max: 0.1951 at 2.100 mean: 0.1865 median: 0.1872 \\ std. dev: 0.002694 samples: 101 AB: 0.016 0.1 Til-\"fl {n\\ Magnetic Field (mT) 1.0 0.8 .0 a: 0.4 0.2 0.0 Statistics for: l=1.6A | Magnetic Field min: 0.2660 at 0.6500 max: 0.2778 at 0.2000 mean: 0.2721 median: 0.2739 std. dev: 0.002919 samples: 101 AB: 0.012 Statistics for: l=0.4A| Magnetic Field min: 0.05337 at 0.05000 max: 0.06124 at 0.1500 mean: 0.05843 median: 0.05730 std. dev: 0.002511 samples: 101 AB: 0.008 Statistics for: l=2.0A| Magnetic Field min: 0.3329 at 0.1000 max: 0.3408 at 0.2500 mean: 0.3373 median: 0.3369 std. dev: 0.002121 samples: 101 AB: 0.008 Statistics for: l=0.8A| Magnetic Field min: 0.1203 at 0.1000 max: 0.1321 at 0.2500 mean: 0.1271 median: 0.1282 std. dev: 0.002735 samples: 101 AB: 0.012 'I'imn In\\ Statistics for: |=2.4A| Magnetic Field min: 0.3999 at 3.400 max: 0.4156 at 1.800 mean: 0.4068 median: 0.4078 std. dev: 0.002516 samples: 101 AB: 0.016 Statistics for: l=1.2A| Magnetic Field min: 0.1912 at 3.800 max: 0.2030 at 0.3000 mean: 0.1986 median: 0.1991 std. dev: 0.002508 samples: 101 AB: 0.012 1=0.4A 1=0.8A 1=1.2A 1=1.6A 1=2.0A 1=2.4 A B ime B Time B Time B ime B Time B Time B nT ) (s) (mT) (s) mT (s) (mT) (s) (mT) (s) mT) (s) (mT) 0.00 0.057 0.00 .128 0.00 0. 199 0.00 0.274 0.00 0.337 0.00 0.408 0.05 0.053 0.05 0.128 0.05 0. 199 0.05 0.274 0.05 0.337 0.05 0.404 0.10 0.057 0.10 0.120 0.10 0. 195 0.10 0.270 0.10 0.333 0.10 0.404 0.15 0.061 0.15 0.128 0.15 0. 199 0.15 0.270 0.15 0.337 0.15 0.404 0.20 0.057 0.20 0.128 0.20 0. 199 0.20 0.278 0.20 0.337 .20 0.404 0.25 0.057 0.25 0.132 0.25 0.199 0.25 0.270 0.25 0.341 0.25 0.412 0.30 0.061 0.30 0.132 .30 0.203 0.30 0.270 0.30 0.337 .30 0.404 0.35 0.057 0.35 0.124 0.35 0.195 0.35 0.274 0.35 0.337 0.35 0.404 0.40 0.053 0.40 0.124 0.40 0.199 0.40 0.274 0.40 0.341 0.40 0.404 0.45 0.061 0.45 0.128 0.45 0. 199 0.45 0.270 0.45 0.337 0.45 0.404 0.50 0.061 0.50 0.124 0.50 0. 199 0.50 0.274 0.50 0.337 0.50 0.404 0.55 0.061 0.55 0.132 0.55 0. 199 0.55 0.270 0.55 0.337 0.55 0.408 0.60 0.061 0.60 0.128 0.60 0. 199 0.60 0.274 0.60 0.341 0.60 0.408 0.65 0.057 ).65 0.124 0.65 0.199 0.65 0.266 0.65 0.333 .65 0.404 0.70 0.057 0.70 0.128 0.70 0.203 0.70 0.270 0.70 0.337 0.70 0.404 0.75 0.061 0.75 0.128 0.75 0.199 0.75 0.274 0.75 0.341 0.75 0.408 0.80 0.061 0.80 0.132 0.80 0. 199 0.80 0.274 0.80 0.341 0.80 0.408 0.85 0.061 0.85 0.132 0.85 0. 199 0.85 0.270 0.85 0.337 0.85 0.408 0.90 0.057 ).90 0.128 .90 0.199 0.90 0.274 0.90 0.333 .90 0.404 0.95 0.057 0.95 0.128 0.95 0.199 0.95 0.270 0.95 0.337 0.95 0.404 1.00 0.057 1.00 0.128 1.00 0.195 1.00 0.266 1.00 0.341 1.00 0.408 1.05 0.061 1.05 0.132 1.05 0. 199 1.05 0.274 1.05 0.333 1.05 0.408 1.10 0.057 1.10 0.128 1.10 0.199 1.10 0.274 1.10 0.341 1.10 0.408 1.15 0.057 1.15 0.128 1.15 0.199 1.15 0.274 1.15 0.341 1.15 0.408 1.20 0.061 1.20 0.128 1.20 0.199 1.20 0.274 1.20 0.337 1.20 0.404 1.25 0.053 1.25 0.128 1.25 0. 199 1.25 0.270 1.25 0.337 1.25 0.404 1.30 0.057 1.30 0. 124 1.30 0.195 1.30 0.274 1.30 0.337 1.30 0.404 1.35 0.061 1.35 0.128 1.35 0.195 1.35 0.274 1.35 0.337 1.35 0.408 1.40 0.061 1.40 0.124 1.40 0.203 1.40 0.270 1.40 0.341 1.40 0.408 1.45 0.057 1.45 0.128 1.45 0.199 1.45 0.266 1.45 0.337 1.45 0.408 1.50 0.061 1.50 .128 1.50 0. 199 1.50 0.266 1.50 0.337 1.50 0.412 1.55 0.053 1.55 0.124 1.55 0.199 1.55 0.266 1.55 0.337 1.55 0.408 1.60 0.053 1.60 0.124 1.60 0.195 1.60 0.266 1.60 0.337 1.60 0.408 1.65 0.057 1.65 0.124 1.65 0.203 1.65 0.274 1.65 0.333 1.65 0.408 1.70 0.057 1.70 0.128 1.70 0.195 1.70 0.270 1.70 0.337 1.70 0.408 1.75 0.061 1.75 0.132 1.75 0.195 1.75 0.266 1.75 0.337 1.75 0.408