Abstract
The model of lumped element circuit ignores the finite time of signals to propagate around a circuit. However, using modern oscilloscope, the time of nanoseconds in a circuit can be measured. Then the speed of alternating electricity can be obtained in a RL circuit. A typical RL circuit is formed by a power source, wire, resistance and inductance. The basic formula is: U(t)=I(t)R+LdI(t)/dt. It can be derived from the Ohm’s law and Kirchhoff laws. Based on our experimental results, this paper has discussed the new explanation of this equation in a RL circuit. As a result, the speed of alternating electricity is greater than light in a special RL circuit. The model of lumped element circuit can be improved when considering the finite time of signals.
Highlights
The model of lumped element circuit ignores the finite time of signals to propagate around a circuit
The speed of alternating electricity can be obtained in a RL circuit
A typical RL circuit is formed by a power source, wire, resistance and inductance
Summary
The differential form of Maxwell equations consists of four equations [1]:. Equation (1a) is the differential form of Coulomb’s law. Equation (1b) is the differential form of the modified Ampere’s law, where the first term on the right side is the conduction current density. The Maxwell equations are the foundation for the theory of electromagnetic wave, and it opens up a new era of radio communication. Many authors argue that the circuit theory is a simplification of the Maxwell equations at low frequencies [2]-[7]. In the classical circuit theory, the model of lumped element circuit ignores the finite time of signals to propagate around a circuit [8]. The model of lumped element circuit can be improved when considering the finite time of signals
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