>

Ideal diode equation - the ideality factor of the diode, which accounts for the deviation of the real diode from Shockley’s id

Half-wave rectifiers transform AC voltage to DC voltag

The form factor of a bridge rectifier is the same as a full-wave rectifier and is defined as the ratio of RMS (Root Means Square) Value of load voltage to the average value load Voltage. Form Factor = V rms / V av. V rms = V m /2. V av = V m / π. Form Factor = (V m /√2) / (2*V m / π) = π/2√2=1.11.Forward Current Equation of PN Junction Diode. The diode equation is given as. I D = I S (e qV D /NkT – 1) Here, I D = diode current in amps. I S = Saturation current in amps (1 x 10-12 amps) e = Euler’s constant (∼ 2.718281828) q = Charge of electron (1.6 x 10-19 coulombs) V D = Voltage applied across the diode in volts. N = Emission ...The ideal diode equation assumes that all the recombination occurs via band to band or recombination via traps in the bulk areas from the device (i.e. not in the junction). Using that assumption the derivation produces the ideal diode equation below and the ideality factor, n, is equal to one. However recombination does occur in other ways and ...I-V characteristic of an ideal diode. Firstly, consider a mathematically idealized diode. In such an ideal diode, if the diode is reverse biased, the current flowing through it is …Basics of Ideal Diodes ABSTRACT Schottky diodes are widely used in power system designs to provide protection from various input supply fault conditions and to provide …diode for both the forward and the reverse bias modes of operation. If you took your data from both modes of operation and plotted it on a linear scale it would look similar to Figure 2. Figure 2. An ideal diode I-V characteristics. The “ideal diode” equation is a good approximation of the diode current over selectedThe pnJunction Diode--Uses: Rectification, parts of transistors, light-emitting diodes and lasers, solar cells, electrically variable capacitor (varactor diode), voltage reference (zenerdiode) Depletion region & junction capacitance I-Vcharacteristic Circuit applications and analysis Reference Reading Hambley, Chapter 10.1 to 10.41.. IntroductionSolving the equation for the current–voltage characteristics of non-ideal diodes with either (or both) series or shunt parasitic resistances has traditionally been approached through the use of iteration or analytic approximations [1], [2], [3] due to the absence of explicit solutions containing only common elementary functions.high-speed switching diode). Figure 9.2-2(b) shows that the slope is approximately linear on the logarithmic scale, which is consistent with the exponential behavior of charge carriers flooding across the forward-biased junction. The basic mathematical form of this response is given by the ideal diode equation V nVT 1 I IS e (9.2-1) where VIn practical diode model, the diode is represented by a voltage source (VF), which is equal to the barrier potential of the diode, and a switch in series. So ...Physical Characteristics. When not illuminated by a light source, such as the sun, the current running through a p - n junction diode can be calculated with the ideal diode equation: i ( v) = IS [exp ( v / η VT) - 1]. Although the ideal diode equation treats the reverse saturation current, IS, as a constant, it is actually a function of ...A diode permits current in one direction only and blocks the current in the other direction. We use this principle to construct various rectifiers. ... The form factor is the ratio between RMS value and average value. The formula for form factor is given below: The form factor of a centre-tapped full wave rectifier is equal to 1.11 (i.e. FF = 1 ...Single diode equivalent circuit model of solar cells. In Equation (1), VT is the thermal voltage, which can be calculated by VT = kT / q, where k is the Boltzmann constant, T is the cell temperature, and q is the charge of the electron. According to Equation (1), the main purpose of this research is to adjust these five parameters Iph, Rs, Rsh ...Basics of Ideal Diodes (Rev. B) is a technical document that explains the concept, operation, and benefits of ideal diodes, which are devices that emulate the behavior of a perfect diode with zero forward voltage drop. The document also provides examples of ideal diode applications using Texas Instruments products, such as the LM66200 dual ideal …Ideal Diode Equation Professor Mark Lundstrom Electrical and Computer Engineering Purdue University, West Lafayette, IN USA [email protected] 2/25/15 The reverse saturation current of the diode in the range of μA to nA. The reverse saturation current gets doubled for every 10 degree centigrade rise in temperature. η, the (exponential) Ideality Factor. Ideality factor is a way of measuring how accurately the diode follows the ideal diode equation. University of Pennsylvania ESE 521 Semiconductor Device Physics and Technology March 4, 2008Prof. C. R. Kagan Derivation of the Ideal Diode Equation ...3: Ideal Diode Equation where IS I S is the reverse saturation current, v v is the applied voltage (reverse bias is negative), VT = T/11, 586 V T = T / 11, 586 is the volt equivalent of temperature, and η η is the emission coefficient, which is 1 for germanium devices and 2 for silicon devices.PDF Version. The SPICE circuit simulation program provides for modeling diodes in circuit simulations. The diode model is based on characterization of individual devices as described in a product data sheet and manufacturing process characteristics not listed. Some information has been extracted from a 1N4004 data sheet in Figure below.The first reference is another post: Voltage across diode, Shockley equation. This references Ken Kuhn's Diode Characteristics whitepaper and the whitepaper references the diode_plots.xls workbook that he created to go along with the whitepaper. This workbook has all of the calculations (the ones we were missing that I will describe shortly ...P-N Junction Diodes; Bias of PN Junctions; Diode Equation; 3.6. Diode Equations for PV; Ideal Diode Equation Derivation; Basic Equations; Applying the Basic Equations to a PN Junction; Solving for Depletion Region; Solving for Quasi Neutral Regions; Finding Total Current; Eg1: Wide Base Diode; Eg2: Narrow Base Diode; Summary; 4. Solar Cell ...Ideal Diode Equation Professor Mark Lundstrom Electrical and Computer Engineering Purdue University, West Lafayette, IN USA [email protected] 2/25/15 An ideal diode consists of two terminals like a normal diode. The connections of component’s end and terminals are polarized. It is important to know that not to combine the connections on a diode up. The two terminals of an ideal diode are called the anode and cathode where anode is positive and cathode is negative.The ideal diode equation is one of the most basic equations in semiconductors and working through the derivation provides a solid background to the understanding of many semiconductors such as photovoltaic devices. The objective of this section is to take the concepts introduced earlier in this chapter and mathematically derive the current ...• The resistance depends on the amount of current (ID) in the diode. Rd=∆vd/ ∆Id • The resistance depends on the amount of current (ID) in the diode. • The voltage across the diode is fairly constant (VT = 26mV for 25°C). • Reverse Bias region: Rd=∞ The resistance is essentially infinite. The diode acts like an open. Average AC ...Electrical Engineering. Electrical Engineering questions and answers. Assume a PN junction is operating according to the ideal diode equation. At room temperature, the current of a PN junction at 0.15V is about 1uA. If you want to increase the current to 100 A, what voltage should you apply to the diode?The output diode must be able to handle the same peak current as Q1, IQ1(Peak). The diode must also be able to withstand a reverse voltage greater than Q1’s maximum voltage (VIN[max] + VOUT + V FWD) to account for transients and ringing. Since the average diode current is the output current, the diode’s package must be capable of dissipat-Arial Calibri Times New Roman Symbol Wingdings Office Theme 1_Office Theme 2_Office Theme Microsoft Equation 3.0 Bitmap Image Lecture 10 Current Flow (Qualitative View) Minority Carrier Action under Forward Bias Components of Current Flow Ideal Diode Analysis: Assumptions “Game Plan” for Obtaining Diode I-V Carrier Concentrations at …Christiana Honsberg Derivation of the ideal diode equation for solar cells Derivation of the Ideal Diode Equation for Photovoltaics Christiana Honsberg ...Ideal Diode Equation We have used the minority carrier diffusion equations to solve problems in semiconductors before so this will be nothing new with a couple exceptions. The situation is described here… 1. The diode is in steady-state (the voltage has been on for a long time). 2. Diode is a step junction. 3. There is no generation (GL=0). 4.i = I S ( e q v / k T − 1) [terms] We will define terms like forward bias, reverse bias, and saturation current. You will learn some tips for identifying the terminals of a real-world diode. We will solve a diode circuit using a graphical method. Diode symbol The schematic symbol for a diode looks like this: I think the easiest method to solve such problems is to assume that the diodes are off (both, and then one of the two), compute the voltages across the diodes and see if there's a contradiction with your assumption. Let's call the top left diode D1 D 1 and the diode in the middle D2 D 2. Case 1: D1 D 1 off, D2 D 2 off: Since D1 D 1 is off there ...The vector equation of a line is r = a + tb. Vectors provide a simple way to write down an equation to determine the position vector of any point on a given straight line. In order to write down the vector equation of any straight line, two...high-speed switching diode). Figure 9.2-2(b) shows that the slope is approximately linear on the logarithmic scale, which is consistent with the exponential behavior of charge carriers flooding across the forward-biased junction. The basic mathematical form of this response is given by the ideal diode equation V nVT 1 I IS e (9.2-1) where VThe diode equation • The i D‐v D relationship (without breakdown) can be written simply as: • v D is the voltage across the diode and i D is the current through the diode. n and I s are constants. V T is a voltage proportional to the temperature, we use 0.0259V. • Note that for v Question: QUESTION 4 10 points Save Answer Why are there deviations from the ideal diode equation at large forward bias? 1. Itage drop in the devic outside of the depletion region. O 2. At significant forward current the silicon is driven into resonance and becomes a diode in parallel with speaker which electrically appears as a resistor.But this is the widest tolerance of all production tolerances and only shows as Vf typ and Max for all diodes including most LEDs. Tolerances like hFE & Vce(Sat) in BJT's and Rs for diodes can be computed as +/-50% which improves with production equipment and better quality sources and new technology (e.g. Diodes Inc) and binning (e.g. Rohm).type of diode. The reverse-breakdown voltage of power diodes may range from as low as 50 V up to 1000 V or even much more. The Diode Equation: The equation below gives a reasonably good representation of the i-v characteristics of a diode. ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ = T −1 D nV v iD IS eThis equation is also known as Ideal Equation of Diode or Diode Law. i = I S ( e qv/k T – 1 ) Where: i = Current flowing through the diode; I s = Reverse or dark saturation …Ideal diodes do not have a threshold voltage. Once any forward voltage is applied across the diode, it will conduct current instantly across its junctions.PDF Version. The SPICE circuit simulation program provides for modeling diodes in circuit simulations. The diode model is based on characterization of individual devices as described in a product data sheet and manufacturing process characteristics not listed. Some information has been extracted from a 1N4004 data sheet in Figure below.The current in the pn junction diode can only flow from one side to the other. An Ideal pn junction diode is based on the following basic assumption: The diode is in steady state conditions. The doping of the diode is a nondegenerately doped step junction. The diode is 1-D (one dimension). The quasineutral regions are in low-level injection. a 1N4148 diode for the temperature transducer in our measurements. 1.0 Analysis of the thermal dependence in the diode equation The current conducted through an ideal diode is described by the Shockley ideal diode equation: I D = I S exp qV D nk BT −1 where q is the electron charge, k B is Boltzmann’s constant, T is the temperature of the ...Whether it's youthful idealism or plain-old ambition, millennial and Gen Z workers have lofty salary expectations. By clicking "TRY IT", I agree to receive newsletters and promotions from Money and its partners. I agree to Money's Terms of ...V D is applied forward-bias voltage across the diode. η is an ideality factor = 1 for indirect semiconductors = 2 for direct semiconductors. k is the Boltzmann’s constant. T is the temperature in Kelvin. kT/q is also known as thermal voltage (V T). At 300 K (room temperature), kT/q = 25.9 mV ≈ 26 mV. Now, the Shockley equation is given byIdeality Factor. The ideality factor of a diode is a measure of how closely the diode follows the ideal diode equation. The derivation of the simple diode equation uses certain …Single Phase Rectification. Rectification converts an oscillating sinusoidal AC voltage source into a constant current DC voltage supply by means of diodes, thyristors, transistors, or converters. This rectifying process can take on many forms with half-wave, full-wave, uncontrolled and fully-controlled rectifiers transforming a single-phase or ...A diode permits current in one direction only and blocks the current in the other direction. We use this principle to construct various rectifiers. ... The form factor is the ratio between RMS value and average value. The formula for form factor is given below: The form factor of a centre-tapped full wave rectifier is equal to 1.11 (i.e. FF = 1 ...An ideal diode is a diode that acts like a perfect conductor when voltage is applied forward biased and like a perfect insulator when voltage is applied reverse biased. So when positive voltage is applied across the anode to the cathode, the diode conducts forward current instantly. When voltage is applied in reverse, the diode conducts no ...The equation PV = nRT is called the ideal gas law. It states that pressure times volume equals the number of moles of gas molecules times temperature times the ideal gas constant. At standard temperature and pressure, or 1 atmosphere and 27...At its simplest, the ideal diode derivation 1 results in the equation: I = I 0 exp ( q V k T − 1) Most diodes are not ideal and an 'ideality factor' is introduced to account for the departures from the ideal. I = I 0 exp ( q V n k T − 1) where n is the ideality factor and is one for an ideal diode. The ideality factor is also known as the ... What is the diode current for a forward bias of 0.6 V? I D=0.7×10 −12(e0.6/0.026−1) I D=7mA Lundstrom ECE 305 S15 outline 28 1) Review 2) Ideal diode equation (long base) 3) Ideal diode equation (short base) 4) Discussion 5) A Primer Solar Cells Lundstrom ECE 305 S15 At its simplest, the ideal diode derivation 1 results in the equation: I = I 0 exp ( q V k T − 1) Most diodes are not ideal and an 'ideality factor' is introduced to account for the departures from the ideal. I = I 0 exp ( q V n k T − 1) where n is the ideality factor and is one for an ideal diode. The ideality factor is also known as the ... The reverse saturation current of the diode in the range of μA to nA. The reverse saturation current gets doubled for every 10 degree centigrade rise in temperature. η, the (exponential) Ideality Factor. Ideality factor is a way of measuring how accurately the diode follows the ideal diode equation. 14 Agu 2014 ... Ideal Diode Equation. Topics of This Lecture. Ideal Diode Equation Its origins Current versus Voltage (I-V) characteristics How to calculate ...“ideal diode equation” “Shockley diode equation” I=I 0 e (qV Ak BT−1) 1) Why does the current increase exponentially with the applied forward bias? 2) Why is the reverse bias …Elliot Alderson. 31.2k 5 29 67. Ideal diode means zero voltage drop across diode in FB ,if you are talking about 0.7V drop across diode that is in the case of constant voltage drop model of a diode, So, if D1 is RB voltage drop across it will be 10V and across D2 zero. – user204283. Jul 12, 2020 at 18:54.The Shockley diode equation relates the diode current of a p-n junction diode to the diode voltage . This relationship is the diode I-V characteristic : , where is the saturation current or scale current of the diode (the magnitude of the current that flows for negative in excess of a few , typically 10 −12 A). • The resistance depends on the amount of current (ID) in the diode. Rd=∆vd/ ∆Id • The resistance depends on the amount of current (ID) in the diode. • The voltage across the diode is fairly constant (VT = 26mV for 25°C). • Reverse Bias region: Rd=∞ The resistance is essentially infinite. The diode acts like an open. Average AC ...Example Solution: How to calculate diode current with the given data in the example. I0 = 0.3 × 10−6A. V = 0.15v. So, the diode current will be. I = Io[e40V − 1] I = 0.3 × 10−6(e40×0.15 − 1) I = 120.73μA. The above will be the forward bias current of the diode for the given situation.Diode Equation for I-V Curve. The I-V curve (diode characteristic curve) can be find by the following no linear equations. This equation is also known as Ideal Equation of Diode or Diode Law.. i = I S ( e qv/k T - 1 ). Where: i = Current flowing through the diode; I s = Reverse or dark saturation current (Typical value for silicon is 10-12 Amperes); e = Base of the neutral logarithm (2.71828)The Shockley idea diode equation is. I =I0(eqV kT − 1) I = I 0 ( e q V k T − 1) (1) And it can be shown that. I0 = AT3+γ/2exp(−Eg(T)/kT) I 0 = A T 3 + γ / 2 e x p ( − E g ( T) / k T) (2) Where A is a constant and Eg E g is the energy gap. Subbing (2) into (1) it can be shown that for qV>3kT, taking the Napierian logarithm and ...Figure 4.26b As an initial guess, the diode is assumed to be reverse biased and the ideal diode model is used in this equivalent circuit. Analysis of figure 4.26b gives: (3) which gives us when we let in equation . This finding is inconsistent with the ideal diode model, which specifies . Therefore, we can conclude that our initial guess of a ...The ideal diode equation, with any external voltage due to RS subtracted from the junction voltage, is I = IO[e-q (V-IRs) /nkt-1] “ideal diode equation” where n = 1 if the diode’s space charge is diffusion limited and n = 2 if the space charge is recombination limited.The ideal diode equation is very useful as a formula for current as a function of voltage. However, at times the inverse relation may be more …The basic cell equation in the dark is: I = I 0 ( exp ( q V n k T) − 1) where I is the current through the diode, V is the voltage across the diode, I 0 is the dark saturation current, n is the ideality factor and T is the temperature in kelvin. q and k are both constants. for V > 50 - 100 mV the -1 term can be ignored and so the above ... When forward biased, the ideal diode acts like a closed switch: When reverse biased, the ideal diode acts like an open switch. The ideal diode, therefore, is a semiconductor device that is not a switch, but functions as a perfect, intelligent switch which knows when to shut off and turn on based on the voltage applied to its junctions.The value of reverse resistance is very large as compared to forward resistance. The ratio of reverse to forward resistance is 1 00 000 : 1 for silicon diodes, whereas it is 40 000 : 1 for germanium diode. An actual diode offers a very small resistance when forward biased, Whereas it offers a very high resistance (not infinite) when reverse ...6 Sep 2017 ... Figure 1: The i-v characteristic of a pn junction ideal diode (a) is shown in (b). ... diode equation. One can invert equation (3.1) to obtain VD ...Shockley, Zenner & Diode Rectifier Formulas and Equations · Ideal Equation of Diode · i = IS ​( eqv/kT – 1 ) · Series Current · Zener Current · Load Current · Load ...Responsivity refers to how a diode reacts to changes in an applied input signal, typically light or radiation in the case of photodiodes is calculated using Responsivity = Photo Current / Incident Optical Power.To calculate Responsivity, you need Photo Current (I p) & Incident Optical Power (P o).With our tool, you need to enter the respective value for Photo …The diode equation is usually approximated by two somewhat simpler equations, depending upon whether the diode is forward or reverse biased: I ≃ {0 if Va < 0 IsateqVa kT if Va > 0 I ≃ { 0 if V a < 0 I sat e q V a k T if V a > 0. For reverse bias, as we said, the current is essentially nil.This is the ideal-diode model, but with the inclusion of “turn-on” voltage V D0 from Fig. 16.2, which has been used to approximate Shockley’s equation. The “voltage supply ” V D0 and the diode have the same polarity . The equation is called the Shockley ideal diode equation when the ideality factor equals 1, thus is sometimes omitted. The ideality factor typically varies from 1 to 2 (though can in some cases be higher), depending on the fabrication process and semiconductor material. See moreIdeal Diode Equation. Topics of This Lecture. Ideal Diode Equation Its origins Current versus Voltage (I-V) characteristics How to calculate the magnitude of the variables in the equation using real data What the limitations of this equation are How it is used in PSpice simulations. - PowerPoint PPT PresentationThe Ideal Diode Equation: Diodes should be familiar to us by now. We use them when we need current to flow in only one direction. The question is, just how much current is there? Of course, we can just give you the …Voc as a Function of Bandgap, E G. Where the short-circuit current (I SC) decreases with increasing bandgap, the open-circuit voltage increases as the band gap increases.In an ideal device the V OC is limited by radiative recombination and the analysis uses the principle of detailed balance to determine the minimum possible value for J 0.. The …At its simplest, the ideal diode derivation 1 results in the equation: I = I 0 exp ( q V k T − 1) Most diodes are not ideal and an 'ideality factor' is introduced to account for the departures from the ideal. I = I 0 exp ( q V n k T − 1) where n is the ideality factor and is one for an ideal diode. The ideality factor is also known as the ...2.4 Poisson equations, Continuity equations, Current flow equations 1 2.5 Diffusion length, Gradient of quasi Fermi level 1 2.6 TUTORIAL 2 3 MODULE 3 3.1 PN junctions : Contact potential, Electrical Field, Potential and Charge distribution at the junction, Biasing and Energy band diagrams, 2 3.2 Ideal diode equation 1Lecture 1. Lecture 10 OUTLINE pn Junction Diodes (cont’d) Derivation of the Ideal Diode Equation (for a step junction) Reading: Pierret 6.1; Hu 4.3, 4.6, 4.8-4.9 Current Flow (Qualitative View) EE130/230M Spring 2013 Lecture 10, Slide * Equilibrium (VA = 0) Forward Bias (VA > 0) Reverse Bias (VA < 0) Minority Carrier Action under Forward Bias ...Jul 13, 2020 · Elliot Alderson. 31.2k 5 29 67. Ideal diode means zero voltage drop across diode in FB ,if you are talking about 0.7V drop across diode that is in the case of constant voltage drop model of a diode, So, if D1 is RB voltage drop across it will be 10V and across D2 zero. – user204283. Jul 12, 2020 at 18:54. At its simplest, the ideal diode derivation 1 results in the equation: I = I 0 exp ( q V k T − 1) Most diodes are not ideal and an 'ideality factor' is introduced to account for the departures from the ideal. I = I 0 exp ( q V n k T − 1) where n is the ideality factor and is one for an ideal diode. The ideality factor is also known as the ...October 22, 2020 by Electrical4U. An ideal diode means a perfect diode which has all properties in their perfect sense without any flaws. Usually, a diode operates either in forward or reverse biased condition. The characteristics which are expected to be exhibited by the ideal diode can be analyzed separately for these two modes of operation.The ideal diode equation assumes that all the recombination occurs via band to band or recombination via traps in the bulk areas from the device (i.e. not in the junction). Using that assumption the derivation produces the ideal diode equation below and the ideality factor, n, is equal to one. However recombination does occur in other ways and ... Solution. The only equation left to solve is Poisson’s Equation, with n (x) and p (x) =0, abrupt doping profile and ionized dopant atoms. Poisson’s equation then becomes: the depletion region in the p- and n-type side respectively, measured from the physical junction between the two materials. The integration constants C1 and C2 can be ...high-speed switching diode). Figure 9.2-2(b) shows that the slope is approximately linear on the logarithmic scale, which is consistent with the exponential behavior of charge carriers flooding across the forward-biased junction. The basic mathematical form of this response is given by the ideal diode equation V nVT 1 I IS e (9.2-1) where VIf the system is simple and the resultant equations are linear homogeneous ordinary differential equation with constant coefficients than their solution (in one dimensional case) would have exponent-like behavior (like many other diff. eq. in …Feb 26, 2013 · The ideal diode equation Ideal Diodes The diode equation gives an expression for the current through a diode as a function of voltage. The Ideal Diode Law: where: I = the net current flowing through the diode; I 0 = "dark saturation current", the diode leakage current density in the absence of light; V = applied voltage across the terminals of ... product voltage times current gives instan taneous power across the diod e, whether ON or OFF. Th e average power dissipated in the diode could be summarize in Formula 1.1 1.1 where VF is the forward voltage when the diode is ON and the current flow is IF. IR is the current through the diode when the reverse voltage is V R. The weighted average ...The ideal diode equation is one of the most basic equations in semiconductors and working through the derivation provides a solid background to the understanding of many …The formula is an example of an implicit function due to the appearance of the current, I, on both sides of the equation and requires numerical methods to solve. The effect of the series resistance on the IV curve is shown below. To generate the plot the voltage across the diode is varied thereby avoiding the need to solve an implicit equation.0. I'm currently doing a semiconductors lab and one of the tasks is , Find ID and VD using the ideal diode equation. Use Is = 10 –14 A and T, In this engineering course, you will learn about diodes, bipolar junction transistors, MOSFET, 5 Agu 2019 ... Consider a non-ideal diode with standard diode equation iD =iS[ exp (vD/vT)-1]. iD=1.7mA,if vD is ch, Basics of Ideal Diodes (Rev. B) is a technical document that explains the , The ideal diode equation assumes that all the recombination occurs via , 2.4 Poisson equations, Continuity equations, Current flow equatio, Figure 4.26b As an initial guess, the diode is assume, A p–n diode is a type of semiconductor diode based upon the p–n , What is the diode current for a forward bias of 0.6 V? I D=0.7×, The Ideal Diode Equation: Diodes should be familiar, Circuit Symbol. Every diode has two terminals-- connections on each , A typical value for I S in silicon is 10 − 12 A , ( 1 picoamp, Diodes: An ideal diode is a device that allows current to flo, zIn the last lecture, we discussed the ideal diode equa, 6 Agu 2021 ... ... ideal diode, working, characteristics, equation,, 5 Agu 2019 ... Consider a non-ideal diode with standard diode, tor devices: the continuity equations, Poisson's equatio.