2.3.10Diodes & Applications

Datasheet parameters (Vf, Ir, max ratings)

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WHY do datasheets exist?

The three families of numbers you must read:

  1. Vf — forward voltage drop (the "on cost").
  2. Ir — reverse leakage current (the "off imperfection").
  3. Max ratings — the walls of the safe box (IFI_F, VRRMV_{RRM}, PDP_D, TJT_J).

1. Forward Voltage VfV_f

WHY it exists: Current only flows once the applied voltage overcomes the built-in potential barrier of the PN junction and the ohmic resistance of the bulk silicon.

HOW VfV_f depends on current — derive from the Shockley equation:

The diode current is I=IS(eV/(nVT)1)I = I_S\left(e^{V/(nV_T)} - 1\right)

where VT=kT/q25.9 mVV_T = kT/q \approx 25.9\text{ mV} at 300 K, nn = ideality factor (1122), ISI_S = saturation current.

In forward conduction eV/(nVT)1e^{V/(nV_T)} \gg 1, so IISeV/(nVT).I \approx I_S\, e^{V/(nV_T)}.

Solve for VV:

Temperature effect: at fixed current, VfV_f falls ~2 mV/C2\text{ mV/}^\circ\text{C} (the ISI_S term rises fast with TT, and it sits inside the log driving VfV_f down).

Diode type Typical VfV_f
Schottky 0.2–0.4 V
Silicon signal 0.6–0.7 V
Silicon rectifier (high II) 0.8–1.1 V
Red LED ~1.8 V

2. Reverse Leakage IrI_r

WHY: Even when "off", minority carriers drift across the junction. From Shockley with V<0V<0 large, eV/(nVT)0e^{V/(nV_T)}\to 0, so IIS.I \approx -I_S. So IrISI_r \approx I_S — the same saturation current, now the whole current instead of a negligible correction.

HOW it behaves: IrI_r roughly doubles every ~10 °C. It is nanoamps–microamps for silicon, but can be much larger for Schottky (their low VfV_f comes at the cost of higher leakage — a fundamental tradeoff).


3. Maximum Ratings (the walls of the box)

Key ratings:

  • ==IF(AV)I_{F(AV)}== — max average forward current (rectifier duty).
  • ==IFSMI_{FSM}== — max surge current (single non-repetitive spike, e.g. capacitor inrush).
  • ==VRRMV_{RRM}== — peak repetitive reverse voltage (must exceed your circuit's max reverse swing).
  • ==PDP_D== — max power dissipation.
  • ==TJT_J== — max junction temperature (the real killer; everything else is a proxy for keeping TJT_J safe).

Deriving the power / thermal limit (the master constraint):

Power dissipated conducting: P=VfIFP = V_f \, I_F (plus reverse term VRIrV_R I_r, usually tiny).

Heat flows out through thermal resistance RθJAR_{\theta JA} (junction-to-ambient, °C/W):

This is why datasheets derate current at higher ambient temperature: as TAT_A rises, the allowed PP shrinks, so allowed IFI_F shrinks.

Figure — Datasheet parameters (Vf, Ir, max ratings)

Worked Examples


Active Recall

Recall Test yourself before reading answers
  • Why does VfV_f rise so slowly with current?
  • Which single rating ultimately governs all the others, and why?
  • What is the tradeoff hidden in a Schottky's low VfV_f?
  • Why must VRRMV_{RRM} be chosen well above the actual peak reverse voltage?
Recall Feynman: explain to a 12-year-old

A diode is a one-way gate for electricity. The datasheet is its owner's manual. It says: "It costs a little push to open the gate the right way (VfV_f). Even when shut, a tiny bit sneaks through (IrI_r). And don't shove too many people through, or push too hard the wrong way, or let it get too hot — or the gate breaks (IFI_F, VRRMV_{RRM}, TJT_J)." Stay inside those rules and the gate lasts forever.


Flashcards

What is VfV_f?
The forward voltage drop across a conducting diode, specified at a stated forward current IFI_F and temperature.
Why is VfV_f nearly constant (~0.7 V) despite big current changes?
Because Vf=nVTln(I/IS)V_f = nV_T\ln(I/I_S) grows only logarithmically with current — a 10× current increase adds only ~60 mV.
What is IrI_r and what does it approximately equal?
Reverse leakage current; IrISI_r \approx I_S, the diode's saturation current, flowing when reverse-biased below breakdown.
How does IrI_r change with temperature?
It roughly doubles every ~10 °C.
How does VfV_f change with temperature at fixed current?
It decreases by about 2 mV per °C.
Define VRRMV_{RRM}.
Peak repetitive reverse voltage the diode can safely withstand each cycle.
Difference between IF(AV)I_{F(AV)} and IFSMI_{FSM}?
IF(AV)I_{F(AV)} is max continuous average forward current; IFSMI_{FSM} is max non-repetitive surge (short spike) current.
What is the thermal equation linking junction temp to power?
TJ=TA+PRθJAT_J = T_A + P\,R_{\theta JA}.
Formula for max allowable power dissipation?
Pmax=(TJ(max)TA)/RθJAP_{max} = (T_{J(max)} - T_A)/R_{\theta JA}.
Why do datasheets derate current at higher ambient temperature?
Higher TAT_A leaves less thermal headroom, so allowed P=(TJmaxTA)/RθJAP=(T_{Jmax}-T_A)/R_{\theta JA} falls, forcing lower IFI_F.
What is the tradeoff of a Schottky diode's low VfV_f?
It has higher reverse leakage current IrI_r.
Which rating is the ultimate physical limit?
Junction temperature TJT_J — most other ratings exist to keep TJT_J safe.
Rule of thumb for choosing VRRMV_{RRM}?
Choose at least ~2× the actual peak reverse voltage for margin against transients.

Connections

  • PN Junction Physics — origin of VfV_f, ISI_S and the barrier potential.
  • Shockley Diode Equation — source of the VfV_f–current and IrI_r relations.
  • Thermal Resistance & Heatsinking — how RθJAR_{\theta JA} and TJT_J limit current.
  • Rectifier Circuits — where VRRMV_{RRM}, IF(AV)I_{F(AV)}, IFSMI_{FSM} matter in practice.
  • Schottky Diodes — the low-VfV_f / high-IrI_r tradeoff.
  • Zener Diodes — deliberate reverse breakdown, contrast with VRRMV_{RRM}.

Concept Map

specifies

specifies

specifies

forward approx gives

reverse approx gives

inside log of

equals

lowers ~2mV per C

doubles per 10C

low Vf raises

stay inside for

grows log with current

Datasheet = contract

Shockley equation

Vf forward voltage

Ir reverse leakage

Max ratings safe box

Is saturation current

Temperature

Schottky tradeoff

Safe design

Hinglish (regional understanding)

Intuition Hinglish mein samjho

Dekho, diode ka datasheet basically ek contract hai company ke saath. Woh bolta hai — "in limits ke andar rahoge to main proper diode ki tarah kaam karunga; limit cross ki to warranty khatam, part jal sakta hai." Teen cheezein yaad rakho: Vf (on hone ka voltage cost, silicon mein ~0.7 V), Ir (off hone par thodi si leakage current), aur max ratings (current, reverse voltage, aur temperature ki deewarein).

Vf itna slowly badhta hai current ke saath kyunki formula Vf=nVTln(I/IS)V_f = nV_T\ln(I/I_S) hai — yeh log hai, isliye current 10 guna karo to sirf ~60 mV add hota hai. Isi wajah se hum "0.7 V constant" maan lete hain. Ir woh chhoti current hai jo reverse mein bhi behti hai, aur yeh har 10 °C par double ho jaati hai — battery circuits mein isko ignore mat karna warna cell khatam ho jayegi. Schottky diode ka Vf kam hota hai par uska Ir zyada — yeh ek fundamental tradeoff hai.

Sabse important rating hai junction temperature TJT_J. Baaki sab ratings actually isi ko safe rakhne ke liye hain. Master equation: TJ=TA+PRθJAT_J = T_A + P\cdot R_{\theta JA}, jahan P=VfIFP = V_f I_F. Isse max power nikalti hai: Pmax=(TJmaxTA)/RθJAP_{max} = (T_{Jmax}-T_A)/R_{\theta JA}. Jab ambient temperature garam ho, headroom kam, isliye allowed current bhi kam — isko derating kehte hain.

Practical tip: kabhi bhi rating ke exactly upar diode mat chalao. VRRMV_{RRM} actual peak reverse voltage ka kam se kam 2 guna lo (mains spikes ke liye), aur current 50–80% par rakho margin ke liye. Yehi engineering discipline part ko lambi life deti hai.

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Connections