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Voltage Gain given Collector Current Formula

GoVoltage Gain given all Voltages Formula

GoVoltage Gain given Transconductance and Collector Resistance Formula

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Voltage gain is defined as the ratio of the output voltage to the input voltage. Check FAQs

A v = - (\frac{I c}{V t}) \cdot R c

A_v - Voltage Gain?I_c - Collector Current?V_t - Thermal Voltage?R_c - Collector Resistance?

Voltage Gain given Collector Current Example

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Here is how the Voltage Gain given Collector Current equation looks like with Values.

Here is how the Voltage Gain given Collector Current equation looks like with Units.

Here is how the Voltage Gain given Collector Current equation looks like.

-3.9894 = - (\frac{5}{4.7}) \cdot 3.75

-3.9894dB = - (\frac{5mA}{4.7V}) \cdot 3.75kΩ

-3.9894 = - (\frac{5}{4.7}) \cdot 3.75

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Voltage Gain given Collector Current Solution

Follow our step by step solution on how to calculate Voltage Gain given Collector Current?

FIRST Step Consider the formula

A v = - (\frac{I c}{V t}) \cdot R c

Next Step Substitute values of Variables

∴

A v = - (\frac{5mA}{4.7V}) \cdot 3.75kΩ

Next Step Convert Units

∴

A v = - (\frac{0.005A}{4.7V}) \cdot 3750Ω

Next Step Prepare to Evaluate

∴

A v = - (\frac{0.005}{4.7}) \cdot 3750

Next Step Evaluate

∴

A v = -3.98936170212766dB

LAST Step Rounding Answer

∴

A v = -3.9894dB

Voltage Gain given Collector Current Formula Elements

Variables

Voltage Gain

Voltage gain is defined as the ratio of the output voltage to the input voltage.

Symbol: A_v

Measurement: SoundUnit: dB

Note: Value can be positive or negative.

Formulas to find Voltage Gain

Collector Current

Collector current is an amplified output current of a bipolar junction transistor.

Symbol: I_c

Measurement: Electric CurrentUnit: mA

Note: Value can be positive or negative.

Formulas to find Collector Current

Thermal Voltage

Thermal Voltage is the voltage produced within the p-n junction.

Symbol: V_t

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Thermal Voltage

Collector Resistance

Collector Resistance (Rc)helps to set the transistor at the "operating point" of the amplifier. The purpose of the emitter resistor Re is to prevent "thermal runaway".

Symbol: R_c

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Collector Resistance

Other Formulas to find Voltage Gain

Go Voltage Gain given all Voltages

A v = - \frac{V DD - V CE}{V t}

Go Voltage Gain given Transconductance and Collector Resistance

A v = - G m \cdot R c

Go Overall Voltage Gain given Load Resistance of BJT

A v = - G m \cdot (\frac{R c \cdot R L}{R c + R L})

Go Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output

A v = α \cdot \frac{{(\frac{1}{R c} + \frac{1}{R L})}^{- 1}}{R s + R e}

Other formulas in Amplification Factor or Gain category

Go Short-Circuit Current Gain

A i = \frac{I o}{I in}

Go Open Circuit Voltage Gain given Open Circuit Transresistance

A = \frac{R m}{R in}

Go Amplification Factor of BJT

µ f = (\frac{I c}{V th}) \cdot (\frac{V cc + V CE}{I c})

Go Common Mode Gain of BJT

A cm = - (\frac{R c}{2 \cdot R o}) \cdot (\frac{ΔR c}{R c})

How to Evaluate Voltage Gain given Collector Current?

Voltage Gain given Collector Current evaluator uses Voltage Gain = -(Collector Current/Thermal Voltage)*Collector Resistance to evaluate the Voltage Gain, The voltage gain given collector current is the amount of voltage that an electronic device needs in order to power on and function. Voltage Gain is denoted by A_v symbol.

How to evaluate Voltage Gain given Collector Current using this online evaluator? To use this online evaluator for Voltage Gain given Collector Current, enter Collector Current (I_c), Thermal Voltage (V_t) & Collector Resistance (R_c) and hit the calculate button.

FAQs on Voltage Gain given Collector Current

What is the formula to find Voltage Gain given Collector Current?

The formula of Voltage Gain given Collector Current is expressed as Voltage Gain = -(Collector Current/Thermal Voltage)*Collector Resistance. Here is an example- -3.989362 = -(0.005/4.7)*3750.

How to calculate Voltage Gain given Collector Current?

With Collector Current (I_c), Thermal Voltage (V_t) & Collector Resistance (R_c) we can find Voltage Gain given Collector Current using the formula - Voltage Gain = -(Collector Current/Thermal Voltage)*Collector Resistance.

What are the other ways to Calculate Voltage Gain?

Here are the different ways to Calculate Voltage Gain-

Voltage Gain=-(Supply Voltage-Collector-Emitter Voltage)/Thermal Voltage
Voltage Gain=-Transconductance*Collector Resistance
Voltage Gain=-Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance))

Can the Voltage Gain given Collector Current be negative?

Yes, the Voltage Gain given Collector Current, measured in Sound can be negative.

Which unit is used to measure Voltage Gain given Collector Current?

Voltage Gain given Collector Current is usually measured using the Decibel[dB] for Sound. Bel[dB], Neper[dB] are the few other units in which Voltage Gain given Collector Current can be measured.

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Voltage Gain given Collector Current Formula

​GoVoltage Gain given all Voltages Formula

​GoVoltage Gain given Transconductance and Collector Resistance Formula

Voltage Gain given Collector Current Example

Voltage Gain given Collector Current Solution

Voltage Gain given Collector Current Formula Elements

Other Formulas to find Voltage Gain

Other formulas in Amplification Factor or Gain category

How to Evaluate Voltage Gain given Collector Current?

FAQs on Voltage Gain given Collector Current

Variable Name

GoVoltage Gain given all Voltages Formula

GoVoltage Gain given Transconductance and Collector Resistance Formula