The I-V diagram of a tunnel diode inherits a voltage range corresponding to a specific current domain with a negative slope. Within this range, the electric resistance is negatively impacting the characteristics of th...The I-V diagram of a tunnel diode inherits a voltage range corresponding to a specific current domain with a negative slope. Within this range, the electric resistance is negatively impacting the characteristics of the electric circuits. One such circuit containing a tunnel diode in series with an inductor driven by a DC source is considered. The negative resistance significantly alters the characteristics of the circuit. In this research-oriented project, we unveil these characteristics comparing them to the classic inductive circuit with an ohmic resistor. This project stems from our previous work [1] and may be considered an application of the tunnel diode embodying unseen surprises. The circuit analysis is entirely based on utilizing a Computer Algebra System (CAS) specifically Mathematica. Without a CAS, the completion of the project wouldn’t have been possible otherwise.展开更多
It is a common misconception that electric “resistance” always is a positive defined electric element. <em>i.e.</em>, the plot of the voltage across the resistor, V vs. its current, i is a slanted straig...It is a common misconception that electric “resistance” always is a positive defined electric element. <em>i.e.</em>, 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.展开更多
文摘The I-V diagram of a tunnel diode inherits a voltage range corresponding to a specific current domain with a negative slope. Within this range, the electric resistance is negatively impacting the characteristics of the electric circuits. One such circuit containing a tunnel diode in series with an inductor driven by a DC source is considered. The negative resistance significantly alters the characteristics of the circuit. In this research-oriented project, we unveil these characteristics comparing them to the classic inductive circuit with an ohmic resistor. This project stems from our previous work [1] and may be considered an application of the tunnel diode embodying unseen surprises. The circuit analysis is entirely based on utilizing a Computer Algebra System (CAS) specifically Mathematica. Without a CAS, the completion of the project wouldn’t have been possible otherwise.
文摘It is a common misconception that electric “resistance” always is a positive defined electric element. <em>i.e.</em>, 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.
