Research Article
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Year 2023, , 59 - 70, 15.12.2023
https://doi.org/10.55696/ejset.1373552

Abstract

References

  • K. M. Tenny and M. Keenaghan, “Ohms Law,” in StatPearls, Treasure Island (FL): StatPearls Publishing, 2023. Accessed: Aug. 31, 2023. [Online]. Available: http://www.ncbi.nlm.nih.gov/books/NBK441875/
  • D. L. Terrell, “Amplifiers,” in Op Amps, Elsevier, 1996, pp. 36–133. doi: 10.1016/B978-075069702-6/50003-2.
  • W. M. Saslow, “Ohm’s Law: Electric Current Is Driven by Emf, and Limited by Electrical Resistance,” in Electricity, Magnetism, and Light, Elsevier, 2002, pp. 281–335. doi: 10.1016/B978-012619455-5.50007-3.
  • R. Mancini, “Review of Circuit Theory,” in Op Amps for Everyone, Elsevier, 2009, pp. 7–20. doi: 10.1016/B978-1-85617-505-0.00002-8.
  • M. Plonus, “Circuit Fundamentals,” in Electronics and Communications for Scientists and Engineers, Elsevier, 2020, pp. 1–78. doi: 10.1016/B978-0-12-817008-3.00001-2.
  • K. Hess, G. Nimtz, and K. Seeger, “Non-ohmic microwave conductivity in semiconductor posts,” Solid-State Electron., vol. 12, no. 2, pp. 79–84, Feb. 1969, doi: 10.1016/0038-1101(69)90115-4.
  • D. Matz and F. Garcia-Moliner, “Non-Ohmic Transport in Semiconductors in a Magnetic Field,” Phys. Status Solidi B, vol. 5, no. 3, pp. 495–509, 1964, doi: 10.1002/pssb.19640050306.
  • W. Shockley, “Hot electrons in germanium and Ohm’s law,” Bell Syst. Tech. J., vol. 30, no. 4, pp. 990–1034, 1951.
  • J. Yamashita and K. Inoue, “Hot electron in n-type germanium,” J. Phys. Chem. Solids, vol. 12, no. 1, pp. 1–21, Dec. 1959, doi: 10.1016/0022-3697(59)90247-1.
  • B. Collum, “Electrical,” in Nuclear Facilities, Elsevier, 2017, pp. 313–348. doi: 10.1016/B978-0-08-101938-2.00010-6.
  • P. Heering, J. Keck, and G. A. Rohlfs, “Laboratory Notes, Laboratory Experiences, and Conceptual Analysis: Understanding the Making of Ohm’s First Law in Electricity,” Berichte Zur Wiss., vol. 43, no. 1, pp. 7–27, 2020, doi: 10.1002/bewi.201900019.
  • B. Carter, “Review of Op Amp Basics,” in Op Amps for Everyone, Elsevier, 2013, pp. 7–17. doi: 10.1016/B978-0-12-391495-8.00002-7.
  • S. Abdollahi, “Hypothesis of Nothingness,” vol. 10, pp. 43–49, Jul. 2021, doi: 10.5923/j.astronomy.20211002.02.
  • S. Carroll, “Why Is There Something, Rather Than Nothing?,” Feb. 2018.
  • R. L. Anjum and S. Mumford, “A Powerful Theory of Causation,” vol. 9780203851289, Jan. 2010, doi: 10.4324/9780203851289.
  • G. M. D’Ariano, “Causality re-established,” Philos. Transact. A Math. Phys. Eng. Sci., vol. 376, no. 2123, p. 20170313, Jul. 2018, doi: 10.1098/rsta.2017.0313.
  • S. Mumford and R. L. Anjum, “Fundamentals of causality,” Inf.-Knowl.-Syst. Manag., vol. 10, pp. 75–84, Jan. 2011, doi: 10.3233/IKS-2012-0186.
  • M. Lincoln and A. Wasser, “Spontaneous creation of the Universe Ex Nihilo,” Phys. Dark Universe, vol. 2, no. 4, pp. 195–199, Dec. 2013, doi: 10.1016/j.dark.2013.11.004.
  • A. Kimuya, On the Law of Energy Conservation: A Provable Review. 2022. doi: 10.13140/RG.2.2.24660.68482.
  • G. Chatzarakis, M. Tortoreli, and A. Tziolas, “Thevenin and Norton’s Theorems: Powerful Pedagogical Tools for Treating Special Cases of Electric Circuits,” Int. J. Electr. Eng. Educ., vol. 40, Oct. 2003, doi: 10.7227/IJEEE.40.4.6.
  • M. Kojić, M. Milošević, and A. Ziemys, “Fundamental laws for physical fields and mechanics,” in Computational Models in Biomedical Engineering, Elsevier, 2023, pp. 21–45. doi: 10.1016/B978-0-323-88472-3.00004-9.
  • F. Fasmin and R. Srinivasan, “Review—Nonlinear Electrochemical Impedance Spectroscopy,” J. Electrochem. Soc., vol. 164, no. 7, p. H443, May 2017, doi: 10.1149/2.0391707jes.
  • IEEE Industry Applications Society, IEEE-SA Standards Board, and American National Standards Institute, Eds., IEEE recommended practice for calculating short-circuit currents in industrial and commercial power systems. New York, N.Y: Institute of Electrical and Electronics Engineers, 2006.
  • A. Lukichev, “Physical meaning of the stretched exponential Kohlrausch function,” Phys. Lett. A, vol. 383, no. 24, pp. 2983–2987, Aug. 2019, doi: 10.1016/j.physleta.2019.06.029.
  • P. Peterson et al., “Practical Use of Metal Oxide Semiconductor Gas Sensors for Measuring Nitrogen Dioxide and Ozone in Urban Environments,” Sensors, vol. 17, no. 7, p. 1653, Jul. 2017, doi: 10.3390/s17071653.

THE MODIFIED OHM’S LAW AND ITS IMPLICATIONS FOR ELECTRICAL CIRCUIT ANALYSIS

Year 2023, , 59 - 70, 15.12.2023
https://doi.org/10.55696/ejset.1373552

Abstract

Ohm’s Law has long been a cornerstone of electrical engineering, providing a linear relationship between voltage, current, and resistance that has underpinned modern circuit analysis. However, as technology advances and philosophical inquiries deepen, the limitations of this venerable law have become evident, particularly in scenarios involving near-zero resistance. This paper introduces a novel formulation-the modified Ohm’s Law; that not only rectifies the pitfalls of the conventional law but also harmonizes physics with philosophical principles. Motivated by the perplexing issue of predicting infinite current at zero resistance and the philosophical implications of deriving infinity from the finite, the modified equation serves as a bridge between empirical insights and logical coherence. Through rigorous mathematical derivation, comprehensive theoretical examination, and scrupulous computational analysis, the accuracy and applicability of the modified Ohm's Law are not only demonstrated but also its suitability across a wide range of scenarios is revealed. These scenarios include semiconductor devices, high-current applications, and complex systems where the standard Ohm’s Law falls short, offering a transformative perspective on the analysis of electrical circuitry. In reconciling scientific rigor with philosophical consistency, this paper advances our understanding of electrical circuitry and beckons a new era of precision in analysis. Further, the modified Ohm’s Law paves the way for deeper explorations that resonate through the domains of physics and philosophy, reshaping the landscape of our understanding.

References

  • K. M. Tenny and M. Keenaghan, “Ohms Law,” in StatPearls, Treasure Island (FL): StatPearls Publishing, 2023. Accessed: Aug. 31, 2023. [Online]. Available: http://www.ncbi.nlm.nih.gov/books/NBK441875/
  • D. L. Terrell, “Amplifiers,” in Op Amps, Elsevier, 1996, pp. 36–133. doi: 10.1016/B978-075069702-6/50003-2.
  • W. M. Saslow, “Ohm’s Law: Electric Current Is Driven by Emf, and Limited by Electrical Resistance,” in Electricity, Magnetism, and Light, Elsevier, 2002, pp. 281–335. doi: 10.1016/B978-012619455-5.50007-3.
  • R. Mancini, “Review of Circuit Theory,” in Op Amps for Everyone, Elsevier, 2009, pp. 7–20. doi: 10.1016/B978-1-85617-505-0.00002-8.
  • M. Plonus, “Circuit Fundamentals,” in Electronics and Communications for Scientists and Engineers, Elsevier, 2020, pp. 1–78. doi: 10.1016/B978-0-12-817008-3.00001-2.
  • K. Hess, G. Nimtz, and K. Seeger, “Non-ohmic microwave conductivity in semiconductor posts,” Solid-State Electron., vol. 12, no. 2, pp. 79–84, Feb. 1969, doi: 10.1016/0038-1101(69)90115-4.
  • D. Matz and F. Garcia-Moliner, “Non-Ohmic Transport in Semiconductors in a Magnetic Field,” Phys. Status Solidi B, vol. 5, no. 3, pp. 495–509, 1964, doi: 10.1002/pssb.19640050306.
  • W. Shockley, “Hot electrons in germanium and Ohm’s law,” Bell Syst. Tech. J., vol. 30, no. 4, pp. 990–1034, 1951.
  • J. Yamashita and K. Inoue, “Hot electron in n-type germanium,” J. Phys. Chem. Solids, vol. 12, no. 1, pp. 1–21, Dec. 1959, doi: 10.1016/0022-3697(59)90247-1.
  • B. Collum, “Electrical,” in Nuclear Facilities, Elsevier, 2017, pp. 313–348. doi: 10.1016/B978-0-08-101938-2.00010-6.
  • P. Heering, J. Keck, and G. A. Rohlfs, “Laboratory Notes, Laboratory Experiences, and Conceptual Analysis: Understanding the Making of Ohm’s First Law in Electricity,” Berichte Zur Wiss., vol. 43, no. 1, pp. 7–27, 2020, doi: 10.1002/bewi.201900019.
  • B. Carter, “Review of Op Amp Basics,” in Op Amps for Everyone, Elsevier, 2013, pp. 7–17. doi: 10.1016/B978-0-12-391495-8.00002-7.
  • S. Abdollahi, “Hypothesis of Nothingness,” vol. 10, pp. 43–49, Jul. 2021, doi: 10.5923/j.astronomy.20211002.02.
  • S. Carroll, “Why Is There Something, Rather Than Nothing?,” Feb. 2018.
  • R. L. Anjum and S. Mumford, “A Powerful Theory of Causation,” vol. 9780203851289, Jan. 2010, doi: 10.4324/9780203851289.
  • G. M. D’Ariano, “Causality re-established,” Philos. Transact. A Math. Phys. Eng. Sci., vol. 376, no. 2123, p. 20170313, Jul. 2018, doi: 10.1098/rsta.2017.0313.
  • S. Mumford and R. L. Anjum, “Fundamentals of causality,” Inf.-Knowl.-Syst. Manag., vol. 10, pp. 75–84, Jan. 2011, doi: 10.3233/IKS-2012-0186.
  • M. Lincoln and A. Wasser, “Spontaneous creation of the Universe Ex Nihilo,” Phys. Dark Universe, vol. 2, no. 4, pp. 195–199, Dec. 2013, doi: 10.1016/j.dark.2013.11.004.
  • A. Kimuya, On the Law of Energy Conservation: A Provable Review. 2022. doi: 10.13140/RG.2.2.24660.68482.
  • G. Chatzarakis, M. Tortoreli, and A. Tziolas, “Thevenin and Norton’s Theorems: Powerful Pedagogical Tools for Treating Special Cases of Electric Circuits,” Int. J. Electr. Eng. Educ., vol. 40, Oct. 2003, doi: 10.7227/IJEEE.40.4.6.
  • M. Kojić, M. Milošević, and A. Ziemys, “Fundamental laws for physical fields and mechanics,” in Computational Models in Biomedical Engineering, Elsevier, 2023, pp. 21–45. doi: 10.1016/B978-0-323-88472-3.00004-9.
  • F. Fasmin and R. Srinivasan, “Review—Nonlinear Electrochemical Impedance Spectroscopy,” J. Electrochem. Soc., vol. 164, no. 7, p. H443, May 2017, doi: 10.1149/2.0391707jes.
  • IEEE Industry Applications Society, IEEE-SA Standards Board, and American National Standards Institute, Eds., IEEE recommended practice for calculating short-circuit currents in industrial and commercial power systems. New York, N.Y: Institute of Electrical and Electronics Engineers, 2006.
  • A. Lukichev, “Physical meaning of the stretched exponential Kohlrausch function,” Phys. Lett. A, vol. 383, no. 24, pp. 2983–2987, Aug. 2019, doi: 10.1016/j.physleta.2019.06.029.
  • P. Peterson et al., “Practical Use of Metal Oxide Semiconductor Gas Sensors for Measuring Nitrogen Dioxide and Ozone in Urban Environments,” Sensors, vol. 17, no. 7, p. 1653, Jul. 2017, doi: 10.3390/s17071653.
There are 25 citations in total.

Details

Primary Language English
Subjects General Physics, Electrical Circuits and Systems, Electrical Energy Generation (Incl. Renewables, Excl. Photovoltaics)
Journal Section Research Articles
Authors

Alex Kımuya 0000-0002-1433-3186

Publication Date December 15, 2023
Published in Issue Year 2023

Cite

IEEE A. Kımuya, “THE MODIFIED OHM’S LAW AND ITS IMPLICATIONS FOR ELECTRICAL CIRCUIT ANALYSIS”, (EJSET), vol. 4, no. 2, pp. 59–70, 2023, doi: 10.55696/ejset.1373552.