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Short Circuit Current Gain of BJT Formula

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Short-circuit current gain is the ratio of the collector current and base current. Check FAQs

H fe = \frac{β 0}{1 + s \cdot (C eb + C cb) \cdot R in}

H_fe - Short-Circuit Current Gain?β₀ - Common-Emitter Current Gain at Low Frequency?s - Complex Frequency Variable?C_eb - Emitter-Base Capacitance?C_cb - Collector-Base Junction Capacitance?R_in - Input Resistance?

Short Circuit Current Gain of BJT Example

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Here is how the Short Circuit Current Gain of BJT equation looks like with Values.

Here is how the Short Circuit Current Gain of BJT equation looks like with Units.

Here is how the Short Circuit Current Gain of BJT equation looks like.

23.6231 = \frac{25.25}{1 + 2.85 \cdot (1.5 + 1.2) \cdot 8.95}

23.6231 = \frac{25.25dB}{1 + 2.85 \cdot (1.5μF + 1.2μF) \cdot 8.95kΩ}

23.6231 = \frac{25.25}{1 + 2.85 \cdot (1.5 + 1.2) \cdot 8.95}

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Short Circuit Current Gain of BJT Solution

Follow our step by step solution on how to calculate Short Circuit Current Gain of BJT?

FIRST Step Consider the formula

H fe = \frac{β 0}{1 + s \cdot (C eb + C cb) \cdot R in}

Next Step Substitute values of Variables

∴

H fe = \frac{25.25dB}{1 + 2.85 \cdot (1.5μF + 1.2μF) \cdot 8.95kΩ}

Next Step Convert Units

∴

H fe = \frac{25.25dB}{1 + 2.85 \cdot (1.5E-6F + 1.2E-6F) \cdot 8950Ω}

Next Step Prepare to Evaluate

∴

H fe = \frac{25.25}{1 + 2.85 \cdot (1.5E-6 + 1.2E-6) \cdot 8950}

Next Step Evaluate

∴

H fe = 23.623073053067

LAST Step Rounding Answer

∴

H fe = 23.6231

Short Circuit Current Gain of BJT Formula Elements

Variables

Short-Circuit Current Gain

Short-circuit current gain is the ratio of the collector current and base current.

Symbol: H_fe

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Short-Circuit Current Gain

Common-Emitter Current Gain at Low Frequency

Common-emitter current gain at low frequency is obtained from the base and the collector circuit currents.

Symbol: β₀

Measurement: SoundUnit: dB

Note: Value can be positive or negative.

Formulas to find Common-Emitter Current Gain at Low Frequency

Complex Frequency Variable

Complex frequency variable describes a sinusoidal signal with increasing (positive σ) or decreasing (negative σ) sine wave.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Complex Frequency Variable

Emitter-Base Capacitance

Emitter-base capacitance is the capacitance between the emitter and the base.

Symbol: C_eb

Measurement: CapacitanceUnit: μF

Note: Value can be positive or negative.

Formulas to find Emitter-Base Capacitance

Collector-Base Junction Capacitance

Collector-Base Junction Capacitance in active mode is reverse biased and is the capacitance between collector and base.

Symbol: C_cb

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Collector-Base Junction Capacitance

Input Resistance

Input Resistance is the resistance seen by the current source or voltage source which drives the circuit.

Symbol: R_in

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Input Resistance

Other formulas in Base Current category

Go Base Current 1 of BJT

I B = \frac{I c}{β}

Go Base Current 2 of BJT

I B = (\frac{I sat}{β}) \cdot (e^{\frac{V BE}{V t}})

Go Base Current using Saturation Current in DC

I B = (\frac{I sat}{β}) \cdot e^{\frac{V BC}{V t}} + e s \cdot e^{\frac{V BC}{V t}}

Go Drain Current given Device Parameter

I d = \frac{1}{2} \cdot G m \cdot WL \cdot {(V ov - V th)}^{2} \cdot (1 + V A \cdot V DS)

How to Evaluate Short Circuit Current Gain of BJT?

Short Circuit Current Gain of BJT evaluator 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 evaluate 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 evaluate Short Circuit Current Gain of BJT using this online evaluator? To use this online evaluator 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.

FAQs on Short Circuit Current Gain of BJT

What is the formula to find Short Circuit Current Gain of BJT?

The formula of Short Circuit Current Gain of BJT is expressed as Short-Circuit Current Gain = (Common-Emitter Current Gain at Low Frequency)/(1+Complex Frequency Variable*(Emitter-Base Capacitance+Collector-Base Junction Capacitance)*Input Resistance). Here is an example- 23.62307 = (25.25)/(1+2.85*(1.5E-06+1.2E-06)*8950).

How to calculate Short Circuit Current Gain of BJT?

With 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) we can find Short Circuit Current Gain of BJT using the formula - Short-Circuit Current Gain = (Common-Emitter Current Gain at Low Frequency)/(1+Complex Frequency Variable*(Emitter-Base Capacitance+Collector-Base Junction Capacitance)*Input Resistance).

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Short Circuit Current Gain of BJT Formula

Short Circuit Current Gain of BJT Example

Short Circuit Current Gain of BJT Solution

Short Circuit Current Gain of BJT Formula Elements

Other formulas in Base Current category

How to Evaluate Short Circuit Current Gain of BJT?

FAQs on Short Circuit Current Gain of BJT

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