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Base Resistance Formula

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Base resistance is the resistance of the base junction. Check FAQs

R b = \frac{f co}{8 \cdot π \cdot {f m}^{2} \cdot C c}

R_b - Base Resistance?f_co - Cut-off Frequency in BJT?f_m - Maximum Frequency of Oscillations?C_c - Collector Base Capacitance?π - Archimedes' constant?

Base Resistance Example

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Here is how the Base Resistance equation looks like with Values.

Here is how the Base Resistance equation looks like with Units.

Here is how the Base Resistance equation looks like.

0.9832 = \frac{30}{8 \cdot 3.1416 \cdot 69^{2} \cdot 255}

0.9832Ω = \frac{30Hz}{8 \cdot 3.1416 \cdot {69Hz}^{2} \cdot 255μF}

0.9832 = \frac{30}{8 \cdot 3.1416 \cdot 69^{2} \cdot 255}

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Base Resistance Solution

Follow our step by step solution on how to calculate Base Resistance?

FIRST Step Consider the formula

R b = \frac{f co}{8 \cdot π \cdot {f m}^{2} \cdot C c}

Next Step Substitute values of Variables

∴

R b = \frac{30Hz}{8 \cdot π \cdot {69Hz}^{2} \cdot 255μF}

Next Step Substitute values of Constants

∴

R b = \frac{30Hz}{8 \cdot 3.1416 \cdot {69Hz}^{2} \cdot 255μF}

Next Step Convert Units

∴

R b = \frac{30Hz}{8 \cdot 3.1416 \cdot {69Hz}^{2} \cdot 0.0003F}

Next Step Prepare to Evaluate

∴

R b = \frac{30}{8 \cdot 3.1416 \cdot 69^{2} \cdot 0.0003}

Next Step Evaluate

∴

R b = 0.983202633479715Ω

LAST Step Rounding Answer

∴

R b = 0.9832Ω

Base Resistance Formula Elements

Variables

Constants

Base Resistance

Base resistance is the resistance of the base junction.

Symbol: R_b

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Base Resistance

Cut-off Frequency in BJT

Cut-off frequency in BJT is defined as corner frequency is a boundary in system's frequency response at which energy flowing through system begins to be reduced rather than passing through.

Symbol: f_co

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Cut-off Frequency in BJT

Maximum Frequency of Oscillations

Maximum frequency of oscillations is defined as the practical upper bound for useful circuit operation with BJT.

Symbol: f_m

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Maximum Frequency of Oscillations

Collector Base Capacitance

Collector Base Capacitance refers to the capacitance that exists between the collector and the base of a bipolar junction transistor (BJT).

Symbol: C_c

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Collector Base Capacitance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in BJT Microwave Devices category

Go Cut-off Frequency of Microwave

f co = \frac{1}{2 \cdot π \cdot τ ec}

Go Base Transit Time

τ b = τ ec - (τ scr + τ c + τ e)

Go Base Collector Delay Time

τ scr = τ ec - (τ c + τ b + τ e)

Go Collector Charging Time

τ c = τ ec - (τ scr + τ b + τ e)

How to Evaluate Base Resistance?

Base Resistance evaluator uses Base Resistance = Cut-off Frequency in BJT/(8*pi*Maximum Frequency of Oscillations^2*Collector Base Capacitance) to evaluate the Base Resistance, The Base Resistance formula is defined as a base resistor that controls the amount of current entering the base junction of a bipolar junction transistor (BJT) to cause it to conduct in the saturation region. Base Resistance is denoted by R_b symbol.

How to evaluate Base Resistance using this online evaluator? To use this online evaluator for Base Resistance, enter Cut-off Frequency in BJT (f_co), Maximum Frequency of Oscillations (f_m) & Collector Base Capacitance (C_c) and hit the calculate button.

FAQs on Base Resistance

What is the formula to find Base Resistance?

The formula of Base Resistance is expressed as Base Resistance = Cut-off Frequency in BJT/(8*pi*Maximum Frequency of Oscillations^2*Collector Base Capacitance). Here is an example- 0.983203 = 30/(8*pi*69^2*0.000255).

How to calculate Base Resistance?

With Cut-off Frequency in BJT (f_co), Maximum Frequency of Oscillations (f_m) & Collector Base Capacitance (C_c) we can find Base Resistance using the formula - Base Resistance = Cut-off Frequency in BJT/(8*pi*Maximum Frequency of Oscillations^2*Collector Base Capacitance). This formula also uses Archimedes' constant .

Can the Base Resistance be negative?

No, the Base Resistance, measured in Electric Resistance cannot be negative.

Which unit is used to measure Base Resistance?

Base Resistance is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Base Resistance can be measured.

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Base Resistance Formula

Base Resistance Example

Base Resistance Solution

Base Resistance Formula Elements

Other formulas in BJT Microwave Devices category

How to Evaluate Base Resistance?

FAQs on Base Resistance

Variable Name