Avalanche Multiplication Factor Calculator

✖Applied Voltage refers to the external voltage that is intentionally applied across a circuit or a device.ⓘ Applied Voltage [V_a]			+10% -10%
✖Avalanche Breakdown Voltage is the specific voltage at which this avalanche process occurs.ⓘ Avalanche Breakdown Voltage [V_b]			+10% -10%
✖Doping Numerical Factor is a phenomenon where high-energy carriers (electrons or holes) gain enough energy from the applied electric field.ⓘ Doping Numerical Factor [n]			+10% -10%

✖Avalanche Multiplication Factor represents the ratio of the total number of charge carriers created by impact ionization to the original number of charge carriers that initiated the avalanche process.ⓘ Avalanche Multiplication Factor [M]

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Formula

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Avalanche Multiplication Factor

Formula

`"M" = 1/(1-("V"_{"a"}/"V"_{"b"})^"n")`

Example

`"1.074452"=1/(1-("20.4V"/"22.8V")^"24")`

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Avalanche Multiplication Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Avalanche Multiplication Factor = 1/(1-(Applied Voltage/Avalanche Breakdown Voltage)^Doping Numerical Factor)
M = 1/(1-(V_a/V_b)^n)
This formula uses 4 Variables

Variables Used

Avalanche Multiplication Factor - Avalanche Multiplication Factor represents the ratio of the total number of charge carriers created by impact ionization to the original number of charge carriers that initiated the avalanche process.
Applied Voltage - (Measured in Volt) - Applied Voltage refers to the external voltage that is intentionally applied across a circuit or a device.
Avalanche Breakdown Voltage - (Measured in Volt) - Avalanche Breakdown Voltage is the specific voltage at which this avalanche process occurs.
Doping Numerical Factor - Doping Numerical Factor is a phenomenon where high-energy carriers (electrons or holes) gain enough energy from the applied electric field.

STEP 1: Convert Input(s) to Base Unit

Applied Voltage: 20.4 Volt --> 20.4 Volt No Conversion Required
Avalanche Breakdown Voltage: 22.8 Volt --> 22.8 Volt No Conversion Required
Doping Numerical Factor: 24 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = 1/(1-(V_a/V_b)^n) --> 1/(1-(20.4/22.8)^24)

Evaluating ... ...

M = 1.07445169426442

STEP 3: Convert Result to Output's Unit

1.07445169426442 --> No Conversion Required

FINAL ANSWER

1.07445169426442 ≈ 1.074452 <-- Avalanche Multiplication Factor

(Calculation completed in 00.004 seconds)

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< 15 BJT Microwave Devices Calculators

Maximum Frequency of Oscillations

Go Maximum Frequency of Oscillations = sqrt(Common Emitter Short Circuit Gain Frequency/(8*pi*Base Resistance*Collector Base Capacitance))

Emitter Base Charging Time

Go Emitter Charging Time = Emitter Collector Delay Time-(Base Collector Delay Time+Collector Charging Time+Base Transit Time)

Base Collector Delay Time

Go Base Collector Delay Time = Emitter Collector Delay Time-(Collector Charging Time+Base Transit Time+Emitter Charging Time)

Collector Charging Time

Go Collector Charging Time = Emitter Collector Delay Time-(Base Collector Delay Time+Base Transit Time+Emitter Charging Time)

Base Transit Time

Go Base Transit Time = Emitter Collector Delay Time-(Base Collector Delay Time+Collector Charging Time+Emitter Charging Time)

Emitter to Collector Delay Time

Go Emitter Collector Delay Time = Base Collector Delay Time+Collector Charging Time+Base Transit Time+Emitter Charging Time

Collector Base Capacitance

Go Collector Base Capacitance = Cut-off Frequency in BJT/(8*pi*Maximum Frequency of Oscillations^2*Base Resistance)

Base Resistance

Go Base Resistance = Cut-off Frequency in BJT/(8*pi*Maximum Frequency of Oscillations^2*Collector Base Capacitance)

Avalanche Multiplication Factor

Go Avalanche Multiplication Factor = 1/(1-(Applied Voltage/Avalanche Breakdown Voltage)^Doping Numerical Factor)

Saturation Drift Velocity

Go Saturated Drift Velocity in BJT = Emitter to Collector Distance/Average Time to Traverse Emitter to Collector

Emitter to Collector Distance

Go Emitter to Collector Distance = Maximum Applied Voltage in BJT/Maximum Electric Field in BJT

Total Charging Time

Go Total Charging Time = Emitter Charging Time+Collector Charging Time

Cut-off Frequency of Microwave

Go Cut-off Frequency in BJT = 1/(2*pi*Emitter Collector Delay Time)

Total Transit Time

Go Total Transit Time = Base Transit Time+Collector Depletion Region

Hole Current of Emitter

Go Hole Current of Emitter = Base Current+Collector Current

Avalanche Multiplication Factor Formula

Avalanche Multiplication Factor = 1/(1-(Applied Voltage/Avalanche Breakdown Voltage)^Doping Numerical Factor)
M = 1/(1-(V_a/V_b)^n)

What triggers avalanche multiplication?

Avalanche multiplication occurs when a semiconductor device, like a diode, is subjected to a reverse-biased voltage exceeding the breakdown voltage. This causes impact ionization, leading to the multiplication of charge carriers.

How to Calculate Avalanche Multiplication Factor?

Avalanche Multiplication Factor calculator uses Avalanche Multiplication Factor = 1/(1-(Applied Voltage/Avalanche Breakdown Voltage)^Doping Numerical Factor) to calculate the Avalanche Multiplication Factor, The Avalanche Multiplication Factor formula is defined as the ratio of the total number of charge carriers (electrons or holes) created by impact ionization to the original number of charge carriers. Avalanche Multiplication Factor is denoted by M symbol.

How to calculate Avalanche Multiplication Factor using this online calculator? To use this online calculator for Avalanche Multiplication Factor, enter Applied Voltage (V_a), Avalanche Breakdown Voltage (V_b) & Doping Numerical Factor (n) and hit the calculate button. Here is how the Avalanche Multiplication Factor calculation can be explained with given input values -> 1.074452 = 1/(1-(20.4/22.8)^24).

FAQ

What is Avalanche Multiplication Factor?

The Avalanche Multiplication Factor formula is defined as the ratio of the total number of charge carriers (electrons or holes) created by impact ionization to the original number of charge carriers and is represented as M = 1/(1-(V_a/V_b)^n) or Avalanche Multiplication Factor = 1/(1-(Applied Voltage/Avalanche Breakdown Voltage)^Doping Numerical Factor). Applied Voltage refers to the external voltage that is intentionally applied across a circuit or a device, Avalanche Breakdown Voltage is the specific voltage at which this avalanche process occurs & Doping Numerical Factor is a phenomenon where high-energy carriers (electrons or holes) gain enough energy from the applied electric field.

How to calculate Avalanche Multiplication Factor?

The Avalanche Multiplication Factor formula is defined as the ratio of the total number of charge carriers (electrons or holes) created by impact ionization to the original number of charge carriers is calculated using Avalanche Multiplication Factor = 1/(1-(Applied Voltage/Avalanche Breakdown Voltage)^Doping Numerical Factor). To calculate Avalanche Multiplication Factor, you need Applied Voltage (V_a), Avalanche Breakdown Voltage (V_b) & Doping Numerical Factor (n). With our tool, you need to enter the respective value for Applied Voltage, Avalanche Breakdown Voltage & Doping Numerical Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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