Short Circuit Current Gain of BJT Calculator

✖Common-emitter current gain at low frequency is obtained from the base and the collector circuit currents.ⓘ Common-Emitter Current Gain at Low Frequency [β₀]			+10% -10%
✖Complex frequency variable describes a sinusoidal signal with increasing (positive σ) or decreasing (negative σ) sine wave.ⓘ Complex Frequency Variable [s]			+10% -10%
✖Emitter-base capacitance is the capacitance between the emitter and the base.ⓘ Emitter-Base Capacitance [C_eb]			+10% -10%
✖Collector-Base Junction Capacitance in active mode is reverse biased and is the capacitance between collector and base.ⓘ Collector-Base Junction Capacitance [C_cb]			+10% -10%
✖Input Resistance is the resistance seen by the current source or voltage source which drives the circuit.ⓘ Input Resistance [R_in]			+10% -10%

✖Short-circuit current gain is the ratio of the collector current and base current.ⓘ Short Circuit Current Gain of BJT [H_fe]

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Short Circuit Current Gain of BJT Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short-Circuit Current Gain = (Common-Emitter Current Gain at Low Frequency)/(1+Complex Frequency Variable*(Emitter-Base Capacitance+Collector-Base Junction Capacitance)*Input Resistance)
H_fe = (β₀)/(1+s*(C_eb+C_cb)*R_in)
This formula uses 6 Variables

Variables Used

Short-Circuit Current Gain - Short-circuit current gain is the ratio of the collector current and base current.
Common-Emitter Current Gain at Low Frequency - (Measured in Decibel) - Common-emitter current gain at low frequency is obtained from the base and the collector circuit currents.
Complex Frequency Variable - Complex frequency variable describes a sinusoidal signal with increasing (positive σ) or decreasing (negative σ) sine wave.
Emitter-Base Capacitance - (Measured in Farad) - Emitter-base capacitance is the capacitance between the emitter and the base.
Collector-Base Junction Capacitance - (Measured in Farad) - Collector-Base Junction Capacitance in active mode is reverse biased and is the capacitance between collector and base.
Input Resistance - (Measured in Ohm) - Input Resistance is the resistance seen by the current source or voltage source which drives the circuit.

STEP 1: Convert Input(s) to Base Unit

Common-Emitter Current Gain at Low Frequency: 25.25 Decibel --> 25.25 Decibel No Conversion Required
Complex Frequency Variable: 2.85 --> No Conversion Required
Emitter-Base Capacitance: 1.5 Microfarad --> 1.5E-06 Farad (Check conversion here)
Collector-Base Junction Capacitance: 1.2 Microfarad --> 1.2E-06 Farad (Check conversion here)
Input Resistance: 8.95 Kilohm --> 8950 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_fe = (β₀)/(1+s*(C_eb+C_cb)*R_in) --> (25.25)/(1+2.85*(1.5E-06+1.2E-06)*8950)

Evaluating ... ...

H_fe = 23.623073053067

STEP 3: Convert Result to Output's Unit

23.623073053067 --> No Conversion Required

FINAL ANSWER

23.623073053067 ≈ 23.62307 <-- Short-Circuit Current Gain

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Base Current Calculators

Base Current using Saturation Current in DC

LaTeX Go Base Current = (Saturation Current/Common Emitter Current Gain)*e^(Base-Collector Voltage/Thermal Voltage)+Saturation Vapour Pressure*e^(Base-Collector Voltage/Thermal Voltage)

Drain Current given Device Parameter

LaTeX Go Drain Current = 1/2*Transconductance*Aspect Ratio*(Effective Voltage-Threshold Voltage)^2*(1+Device Parameter*Voltage between Drain and Source)

Base Current 2 of BJT

LaTeX Go Base Current = (Saturation Current/Common Emitter Current Gain)*(e^(Base-Emitter Voltage/Thermal Voltage))

Base Current 1 of BJT

LaTeX Go Base Current = Collector Current/Common Emitter Current Gain

Short Circuit Current Gain of BJT Formula

LaTeX Go

How does a BJT work?

A BJT is a type of transistor that uses both electrons and holes as charge carriers. A signal of small amplitude if applied to the base is available in the amplified form at the collector of the transistor. This is the amplification provided by the BJT.

How to Calculate Short Circuit Current Gain of BJT?

Short Circuit Current Gain of BJT calculator uses Short-Circuit Current Gain = (Common-Emitter Current Gain at Low Frequency)/(1+Complex Frequency Variable*(Emitter-Base Capacitance+Collector-Base Junction Capacitance)*Input Resistance) to calculate the Short-Circuit Current Gain, The Short circuit current gain of BJT formula is defined as the ratio of the collector current and the base current. Short-Circuit Current Gain is denoted by H_fe symbol.

How to calculate Short Circuit Current Gain of BJT using this online calculator? To use this online calculator for Short Circuit Current Gain of BJT, enter Common-Emitter Current Gain at Low Frequency (β₀), Complex Frequency Variable (s), Emitter-Base Capacitance (C_eb), Collector-Base Junction Capacitance (C_cb) & Input Resistance (R_in) and hit the calculate button. Here is how the Short Circuit Current Gain of BJT calculation can be explained with given input values -> 23.62307 = (25.25)/(1+2.85*(1.5E-06+1.2E-06)*8950).

FAQ

What is Short Circuit Current Gain of BJT?

The Short circuit current gain of BJT formula is defined as the ratio of the collector current and the base current and is represented as H_fe = (β₀)/(1+s*(C_eb+C_cb)*R_in) or Short-Circuit Current Gain = (Common-Emitter Current Gain at Low Frequency)/(1+Complex Frequency Variable*(Emitter-Base Capacitance+Collector-Base Junction Capacitance)*Input Resistance). Common-emitter current gain at low frequency is obtained from the base and the collector circuit currents, Complex frequency variable describes a sinusoidal signal with increasing (positive σ) or decreasing (negative σ) sine wave, Emitter-base capacitance is the capacitance between the emitter and the base, Collector-Base Junction Capacitance in active mode is reverse biased and is the capacitance between collector and base & Input Resistance is the resistance seen by the current source or voltage source which drives the circuit.

How to calculate Short Circuit Current Gain of BJT?

The Short circuit current gain of BJT formula is defined as the ratio of the collector current and the base current is calculated using Short-Circuit Current Gain = (Common-Emitter Current Gain at Low Frequency)/(1+Complex Frequency Variable*(Emitter-Base Capacitance+Collector-Base Junction Capacitance)*Input Resistance). To calculate Short Circuit Current Gain of BJT, you need Common-Emitter Current Gain at Low Frequency (β₀), Complex Frequency Variable (s), Emitter-Base Capacitance (C_eb), Collector-Base Junction Capacitance (C_cb) & Input Resistance (R_in). With our tool, you need to enter the respective value for Common-Emitter Current Gain at Low Frequency, Complex Frequency Variable, Emitter-Base Capacitance, Collector-Base Junction Capacitance & Input Resistance 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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