Matrix Law of Current

Abstract

In this study, the current is defined over matrix. The proposed matrix law of current corresponds with the existing Ohm’s law of current. Thus, the new law of current comprises with the characteristics of matrix. The matrix representation of current provides the compact law for both the types of current, i.e. Alternative Current (AC) and Direct Current (DC). The element of matrix represents the position of electron. Thus, the corresponding application of both the type of currents lies with the properties of matrix. An efficient supply of current is the key advantage of the proposed theory of current. This is achieved by rank of the matrix. The binary representation of the current sets to computational operation. The security is another advantage of this theory. The security of the proposed law of current interacts with the problem of simultaneous system of algebraic equations (linear and non-linear both). Without Ohm’s law, current is defined in this study. The probabilistic study of voltage is used to present the current. The functional representation of current is defined for studying the current over the computation domain. This research work presents the study on the invisibility of current under the context to visible correspondence for establishing the discrete characteristic of electromagnetic waves with respect to the time. The current is defined by the function of discrete and continuous probability.