Abstract
It is a common misconception that electric “resistance” always is a positive defined electric element. i.e., the plot of the voltage across the resistor, V vs. its current, i is a slanted straight line with a positive slope. Esaki diode also known as tunnel diode is an exception to this character. For a certain voltage range, the current recedes resulting in a line with a negative slope; it is interpreted as negative resistance. In this research flavored report, we investigate the impact of the negative resistance in a typical classic electric circuit. E.g., a tunnel diode, D is inserted in a classic electric circuit that is composed of an ohmic resistor, R and a capacitor, C which are all in series with a DC power supply. The circuit equation for the RCD circuit is a nonlinear ordinary differential equation (NLODE). In line with the ever-growing popular Computer Algebra System (CAS), this is solved numerically utilizing two distinctly different CASs. The consistency of the solutions confidently leads to the understanding of the impact of the negative resistance. The circuit characteristics are compared to the classic analogous RC circuit. The report embodies an atlas of characteristics of the circuits making the analysis visually comprehensible.
Highlights
We begin with the well-known characteristics of an ohmic resistor
In this research flavored report, we investigate the impact of the negative resistance in a typical classic electric circuit
E.g., a tunnel diode, D is inserted in a classic electric circuit that is composed of an ohmic resistor, R and a capacitor, C which are all in series with a DC power supply
Summary
The first and the third segments are slanted straight lines with positive slopes, same as Figure 1 with the same physics interpretation. The first and the third segments on the i-V Scope are slanted and linear with positive slopes Within these volage ranges, the diode acts as an ohmic resistor. Interpolate the edges of the latter segments resulting in a slanted straight line with a negative slope, indicative of negative resistance With this background information and the factual existence of negative resistance, the physics question is: “What is the impact of a negative resistance in the characteristics of a typical classic electric circuit?” Among many classic circuits, we consider an RC circuit and insert a tunnel diode all in series with a DC power supply, making the circuit RCD-series DC driven circuit. The last section of the report, Conclusions, addresses summary of the achieved results
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