Voltage Gain given Transconductance and Collector Resistance Calculator

✖Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.ⓘ Transconductance [G_m]			+10% -10%
✖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".ⓘ Collector Resistance [R_c]			+10% -10%

✖Voltage gain is defined as the ratio of the output voltage to the input voltage.ⓘ Voltage Gain given Transconductance and Collector Resistance [A_v]

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Voltage Gain given Transconductance and Collector Resistance

Formula

`"A"_{"v"} = -"G"_{"m"}*"R"_{"c"}`

Example

`"-6.45dB"=-"1.72mS"*"3.75kΩ"`

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Voltage Gain given Transconductance and Collector Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage Gain = -Transconductance*Collector Resistance
A_v = -G_m*R_c
This formula uses 3 Variables

Variables Used

Voltage Gain - (Measured in Decibel) - Voltage gain is defined as the ratio of the output voltage to the input voltage.
Transconductance - (Measured in Siemens) - Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.
Collector Resistance - (Measured in Ohm) - 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".

STEP 1: Convert Input(s) to Base Unit

Transconductance: 1.72 Millisiemens --> 0.00172 Siemens (Check conversion here)
Collector Resistance: 3.75 Kilohm --> 3750 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = -G_m*R_c --> -0.00172*3750

Evaluating ... ...

A_v = -6.45

STEP 3: Convert Result to Output's Unit

-6.45 Decibel --> No Conversion Required

FINAL ANSWER

-6.45 Decibel <-- Voltage Gain

(Calculation completed in 00.007 seconds)

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< 16 Amplification Factor/Gain Calculators

Amplification Factor of BJT

Go BJT Amplification Factor = (Collector Current/Threshold Voltage)*((Positive DC Voltage+Collector-Emitter Voltage)/Collector Current)

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

Go Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance)

Overall Voltage Gain of Buffer Amplifier given Load Resistance

Go Voltage Gain = Load Resistance/(Load Resistance+Emitter Resistance+Signal Resistance/(Common Emitter Current Gain+1))

Overall Voltage Gain given Load Resistance of BJT

Go Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance))

Common Mode Gain of BJT

Go Common Mode Gain = -(Collector Resistance/(2*Output Resistance))*(Change in Collector Resistance/Collector Resistance)

Total Power Dissipated in BJT

Go Power = Collector-Emitter Voltage*Collector Current+Base-Emitter Voltage*Base Current

Voltage Gain given all Voltages

Go Voltage Gain = -(Supply Voltage-Collector-Emitter Voltage)/Thermal Voltage

Voltage Gain given Collector Current

Go Voltage Gain = -(Collector Current/Thermal Voltage)*Collector Resistance

Total Power Supplied in BJT

Go Power = Supply Voltage*(Collector Current+Input Current)

Common-Base Current Gain

Go Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1)

Common-Emitter Current Gain using Common-Base Current Gain

Go Common Emitter Current Gain = Common-Base Current Gain/(1-Common-Base Current Gain)

Open Circuit Voltage Gain given Open Circuit Transresistance

Go Open Circuit Voltage Gain = Open Circuit Transresistance/Input Resistance

Forced Common-Emitter Current Gain

Go Forced Common-Emitter Current Gain = Collector Current/Base Current

Voltage Gain given Transconductance and Collector Resistance

Go Voltage Gain = -Transconductance*Collector Resistance

Intrinsic Gain of BJT

Go Intrinsic Gain = Early Voltage/Thermal Voltage

Short-Circuit Current Gain

Go Current Gain = Output Current/Input Current

Voltage Gain given Transconductance and Collector Resistance Formula

Voltage Gain = -Transconductance*Collector Resistance
A_v = -G_m*R_c

What is voltage gain?

The difference between the output signal voltage level in decibels and the input signal voltage level in decibels; this value is equal to 20 times the common logarithm of the ratio of the output voltage to the input voltage.

How to Calculate Voltage Gain given Transconductance and Collector Resistance?

Voltage Gain given Transconductance and Collector Resistance calculator uses Voltage Gain = -Transconductance*Collector Resistance to calculate the Voltage Gain, The Voltage Gain given Transconductance and Collector Resistance formula is defined as 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 calculate Voltage Gain given Transconductance and Collector Resistance using this online calculator? To use this online calculator for Voltage Gain given Transconductance and Collector Resistance, enter Transconductance (G_m) & Collector Resistance (R_c) and hit the calculate button. Here is how the Voltage Gain given Transconductance and Collector Resistance calculation can be explained with given input values -> -6.45 = -0.00172*3750.

FAQ

What is Voltage Gain given Transconductance and Collector Resistance?

The Voltage Gain given Transconductance and Collector Resistance formula is defined as is the amount of voltage that an electronic device needs in order to power on and function and is represented as A_v = -G_m*R_c or Voltage Gain = -Transconductance*Collector Resistance. Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device & 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".

How to calculate Voltage Gain given Transconductance and Collector Resistance?

The Voltage Gain given Transconductance and Collector Resistance formula is defined as is the amount of voltage that an electronic device needs in order to power on and function is calculated using Voltage Gain = -Transconductance*Collector Resistance. To calculate Voltage Gain given Transconductance and Collector Resistance, you need Transconductance (G_m) & Collector Resistance (R_c). With our tool, you need to enter the respective value for Transconductance & Collector Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Voltage Gain?

In this formula, Voltage Gain uses Transconductance & Collector Resistance. We can use 5 other way(s) to calculate the same, which is/are as follows -

Voltage Gain = -(Collector Current/Thermal Voltage)*Collector Resistance
Voltage Gain = -(Supply Voltage-Collector-Emitter Voltage)/Thermal Voltage
Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance))
Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance)
Voltage Gain = Load Resistance/(Load Resistance+Emitter Resistance+Signal Resistance/(Common Emitter Current Gain+1))

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