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Collector Base Capacitance Formula

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

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

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

Collector Base Capacitance Example

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Here is how the Collector Base Capacitance equation looks like with Values.

Here is how the Collector Base Capacitance equation looks like with Units.

Here is how the Collector Base Capacitance equation looks like.

255.8333 = \frac{30}{8 \cdot 3.1416 \cdot 69^{2} \cdot 0.98}

255.8333μF = \frac{30Hz}{8 \cdot 3.1416 \cdot {69Hz}^{2} \cdot 0.98Ω}

255.8333 = \frac{30}{8 \cdot 3.1416 \cdot 69^{2} \cdot 0.98}

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Collector Base Capacitance Solution

Follow our step by step solution on how to calculate Collector Base Capacitance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C c = \frac{30Hz}{8 \cdot π \cdot {69Hz}^{2} \cdot 0.98Ω}

Next Step Substitute values of Constants

∴

C c = \frac{30Hz}{8 \cdot 3.1416 \cdot {69Hz}^{2} \cdot 0.98Ω}

Next Step Prepare to Evaluate

∴

C c = \frac{30}{8 \cdot 3.1416 \cdot 69^{2} \cdot 0.98}

Next Step Evaluate

∴

C c = 0.000255833338303395F

Next Step Convert to Output's Unit

∴

C c = 255.833338303395μF

LAST Step Rounding Answer

∴

C c = 255.8333μF

Collector Base Capacitance Formula Elements

Variables

Constants

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

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

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

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 Collector Base Capacitance?

Collector Base Capacitance evaluator uses Collector Base Capacitance = Cut-off Frequency in BJT/(8*pi*Maximum Frequency of Oscillations^2*Base Resistance) to evaluate the Collector Base Capacitance, Collector Base Capacitance refers to the capacitance that exists between the collector and the base of a bipolar junction transistor (BJT). This capacitance arises due to the depletion region that forms at the collector-base junction when the transistor is biased in the forward-active mode. Collector Base Capacitance is denoted by C_c symbol.

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

FAQs on Collector Base Capacitance

What is the formula to find Collector Base Capacitance?

The formula of Collector Base Capacitance is expressed as Collector Base Capacitance = Cut-off Frequency in BJT/(8*pi*Maximum Frequency of Oscillations^2*Base Resistance). Here is an example- 2.6E+8 = 30/(8*pi*69^2*0.98).

How to calculate Collector Base Capacitance?

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

Can the Collector Base Capacitance be negative?

No, the Collector Base Capacitance, measured in Capacitance cannot be negative.

Which unit is used to measure Collector Base Capacitance?

Collector Base Capacitance is usually measured using the Microfarad[μF] for Capacitance. Farad[μF], Kilofarad[μF], Millifarad[μF] are the few other units in which Collector Base Capacitance can be measured.

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Collector Base Capacitance Formula

Collector Base Capacitance Example

Collector Base Capacitance Solution

Collector Base Capacitance Formula Elements

Other formulas in BJT Microwave Devices category

How to Evaluate Collector Base Capacitance?

FAQs on Collector Base Capacitance

Variable Name