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A solid cylindrical aluminum conductor with length in the range of 10km~25 km has a cross sectional area of 10cm2. Determine the conductor resistance at 20 °C.

A solid cylindrical aluminum conductor with length in the range of 10km~25 km has a cross sectional area of 10cm2. Determine the conductor resistance at 20 °C.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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APPENDIX Electrical characteristics of bare aluminum conductors steel-reinforced (ACSR)* Resistance Ac, 60 Hz Reactance per conductor 1-ft spacing, 60 Hz Aluminum area, Stranding Layers of Outside diameter, aluminum Code word Dc, 20°C, 20°C, Q/mi 50°C, Q/mi GMR D, ft | Inductive X, Capacitive X cmil A/St in 0/1,000t Q/mi ΜΩ.mi Waxwing Partridge Ostrich Merlin Linnet Oriole Chickadee Ibis Pelican Flicker Hawk Hen Osprey Parakeet 18/1 0,3488 0,3452 0,3831 0,3792 0,3372 266.800 0,609 0,0646 0,0198 0,476 0,1090 266.800 26/7 0,642 0,0640 0,0217 0,465 0,1074 300.000 26/7 0,680 0,0569 0,3070 0,0229 0,458 0,1057 336.400 336.400 0,684 0,721 0,2767 0,2737 0,3037 0,3006 0,462 0,451 18/1 2 0,0512 0,0222 0,1055 26/7 2 0,0507 0,0243 0,1040 336.400 30/7 0,741 0,0504 0,2719 0,2987 0,0255 0,445 0,1032 18/1 0,0433 397.500 397.500 0,1031 0,1015 2 0,743 0,2342 0,2572 0,0241 0,452 26/7 2 0,783 0,0430 0,2323 0,2551 0,0264 0,441 477.000 18/1 2 0,814 0,0361 0,1957 0,2148 0.0264 0,441 0,1004 0,0359 0,0357 477.000 0,0284 0,432 24/7 26/7 2 0,846 0,1943 0,2134 0,0992 477.000 2 0,858 0,1931 0,2120 0,0289 0,430 0,0988 477.000 30/7 0,883 0,0355 0,1919 0,2107 0.0304 0,424 0,0980 18/1 24/7 556.500 0,0284 0,0306 0,879 0,0309 0,1679 0,1843 0,432 0,0981 556.500 0,914 0,0308 0,1669 0,1832 0,423 0,0969 Dove Rook Grosbeak Drake Tern Rail 556.500 26/7 0,927 0,0307 0,1663 0,1826 0,0314 0,420 0,0965 0,415 0,412 636.000 24/7 2 0,977 0,0269 0,0268 0,1461 0,1603 0,0327 0,0335 0,0950 0,990 1,108 0,1596 0,1284 0,1302 636.000 26/7 0,1454 0,0946 795.000 26/7 0,0215 0.1172 0,0373 0,399 0,0912 795.000 954.000 0,0217 0,0181 45/7 3 1,063 0,1188 0,0352 0,406 0,0925 45/7 3 1,165 0,0997 0,1092 0,0386 0,395 0,0897 Cardinal Ortolan Bluejay Finch Bittern Pheasant Bobolink Plover Lapwing Falcon Bluebird 54/7 45/7 45/7 954.000 3 1,196 0,0180 0,0988 0,1082 0,0402 0,390 0,0800 1.033.500 1,213 0,0167 0,0924 0,1011 0,390 0,0885 0,0402 0,0415 1.113.000 3 1,259 0,0155 0,0861 0,0941 0,386 0,0874 1.113.000 54/19 0,0856 0,0436 0,380 0,0866 0,0855 1,293 0,0155 0.0937 1.272.000 45/7 1,345 0,0136 0,0762 0,0832 0,0444 0,378 1.272.000 54/19 3 1,382 0,0135 0,0751 0,0821 0,0466 0,372 0,0847 45/7 0,0684 0,371 0,365 1.431.000 1,427 0,0121 0,0746 0,0470 0,0837 1.431.000 54/19 3 1,465 0,0120 0,0673 0,0735 0,0494 0,0829 1.590.000 45/7 3 1,502 0,0109 0,0623 0,0678 0,0498 0,364 0,0822 54/19 84/19 1.590.000 3 1,545 0,358 0,0814 0,0108 0,0080 0,0612 0,0667 0,0523 2.156.000 4 1,762 0,0476 0,0515 0,0586 0,344 0,0776 Figure 8: Electrical Characteristics of ASCR
Transcribed Image Text:APPENDIX Electrical characteristics of bare aluminum conductors steel-reinforced (ACSR)* Resistance Ac, 60 Hz Reactance per conductor 1-ft spacing, 60 Hz Aluminum area, Stranding Layers of Outside diameter, aluminum Code word Dc, 20°C, 20°C, Q/mi 50°C, Q/mi GMR D, ft | Inductive X, Capacitive X cmil A/St in 0/1,000t Q/mi ΜΩ.mi Waxwing Partridge Ostrich Merlin Linnet Oriole Chickadee Ibis Pelican Flicker Hawk Hen Osprey Parakeet 18/1 0,3488 0,3452 0,3831 0,3792 0,3372 266.800 0,609 0,0646 0,0198 0,476 0,1090 266.800 26/7 0,642 0,0640 0,0217 0,465 0,1074 300.000 26/7 0,680 0,0569 0,3070 0,0229 0,458 0,1057 336.400 336.400 0,684 0,721 0,2767 0,2737 0,3037 0,3006 0,462 0,451 18/1 2 0,0512 0,0222 0,1055 26/7 2 0,0507 0,0243 0,1040 336.400 30/7 0,741 0,0504 0,2719 0,2987 0,0255 0,445 0,1032 18/1 0,0433 397.500 397.500 0,1031 0,1015 2 0,743 0,2342 0,2572 0,0241 0,452 26/7 2 0,783 0,0430 0,2323 0,2551 0,0264 0,441 477.000 18/1 2 0,814 0,0361 0,1957 0,2148 0.0264 0,441 0,1004 0,0359 0,0357 477.000 0,0284 0,432 24/7 26/7 2 0,846 0,1943 0,2134 0,0992 477.000 2 0,858 0,1931 0,2120 0,0289 0,430 0,0988 477.000 30/7 0,883 0,0355 0,1919 0,2107 0.0304 0,424 0,0980 18/1 24/7 556.500 0,0284 0,0306 0,879 0,0309 0,1679 0,1843 0,432 0,0981 556.500 0,914 0,0308 0,1669 0,1832 0,423 0,0969 Dove Rook Grosbeak Drake Tern Rail 556.500 26/7 0,927 0,0307 0,1663 0,1826 0,0314 0,420 0,0965 0,415 0,412 636.000 24/7 2 0,977 0,0269 0,0268 0,1461 0,1603 0,0327 0,0335 0,0950 0,990 1,108 0,1596 0,1284 0,1302 636.000 26/7 0,1454 0,0946 795.000 26/7 0,0215 0.1172 0,0373 0,399 0,0912 795.000 954.000 0,0217 0,0181 45/7 3 1,063 0,1188 0,0352 0,406 0,0925 45/7 3 1,165 0,0997 0,1092 0,0386 0,395 0,0897 Cardinal Ortolan Bluejay Finch Bittern Pheasant Bobolink Plover Lapwing Falcon Bluebird 54/7 45/7 45/7 954.000 3 1,196 0,0180 0,0988 0,1082 0,0402 0,390 0,0800 1.033.500 1,213 0,0167 0,0924 0,1011 0,390 0,0885 0,0402 0,0415 1.113.000 3 1,259 0,0155 0,0861 0,0941 0,386 0,0874 1.113.000 54/19 0,0856 0,0436 0,380 0,0866 0,0855 1,293 0,0155 0.0937 1.272.000 45/7 1,345 0,0136 0,0762 0,0832 0,0444 0,378 1.272.000 54/19 3 1,382 0,0135 0,0751 0,0821 0,0466 0,372 0,0847 45/7 0,0684 0,371 0,365 1.431.000 1,427 0,0121 0,0746 0,0470 0,0837 1.431.000 54/19 3 1,465 0,0120 0,0673 0,0735 0,0494 0,0829 1.590.000 45/7 3 1,502 0,0109 0,0623 0,0678 0,0498 0,364 0,0822 54/19 84/19 1.590.000 3 1,545 0,358 0,0814 0,0108 0,0080 0,0612 0,0667 0,0523 2.156.000 4 1,762 0,0476 0,0515 0,0586 0,344 0,0776 Figure 8: Electrical Characteristics of ASCR
Question 2 a) A solid cylindrical aluminum conductor with length in the range of 10km~25 km has a cross sectional area of 10cm2. Determine the conductor resistance at 20 °C. b) Two transmission line circuits (circuit A and circuit B) that run parallel to each other is shown in per Figure 3. Circuit A consists of three conductors with the radius in the range of 0.70~0.90 cm. Circuit B consists of two conductors with the radius in the range of 0.20~0.50 cm. Determine the GMD, GMR for each circuit, inductance for each circuit, and total inductance per meter. -15cm a a' 10cm 10cm b' Circuit B Circuit A Figure 3: Transmission line conductor configuration for Question 2(b) c) A three phase transmission line operated at 60HZ is arranged as shown in Figure 4. The conductors are the ASCR Pheasant. By using the conductor's characteristic in the Appendix section, determine the total inductive reactance per mile of the transmission line. Assume the length of the transmission line is in the range of 15-35 km. 10m 10m 15m- Figure 4: Transmission line conductor configuration for Question 2(c)
Transcribed Image Text:Question 2 a) A solid cylindrical aluminum conductor with length in the range of 10km~25 km has a cross sectional area of 10cm2. Determine the conductor resistance at 20 °C. b) Two transmission line circuits (circuit A and circuit B) that run parallel to each other is shown in per Figure 3. Circuit A consists of three conductors with the radius in the range of 0.70~0.90 cm. Circuit B consists of two conductors with the radius in the range of 0.20~0.50 cm. Determine the GMD, GMR for each circuit, inductance for each circuit, and total inductance per meter. -15cm a a' 10cm 10cm b' Circuit B Circuit A Figure 3: Transmission line conductor configuration for Question 2(b) c) A three phase transmission line operated at 60HZ is arranged as shown in Figure 4. The conductors are the ASCR Pheasant. By using the conductor's characteristic in the Appendix section, determine the total inductive reactance per mile of the transmission line. Assume the length of the transmission line is in the range of 15-35 km. 10m 10m 15m- Figure 4: Transmission line conductor configuration for Question 2(c)
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