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

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 paradoxical projection of infinite current at zero resistance and the philosophical implications of deriving infinity from the finite, the modified equation emerges as a bridge between empirical insights and logical coherence. Through a rigorous mathematical derivation, theoretical examination, and computational analysis, we demonstrate the accuracy and applicability of the modified Ohm’s Law across diverse scenarios, ranging from semiconductor devices to high-current applications. 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 realms of physics and philosophy, reshaping the landscape of our understanding.