Load Resistance with respect to Transconductance Calculator

✖Output voltage gain is the difference between the output signal voltage level in decibels and the input signal voltage level in decibels.ⓘ Output Voltage Gain [A_v]			+10% -10%
✖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%
✖Series Resistor is a current limiting resistor connected in series with the input voltage. It is used to limit maximum current flowing in a circuit.ⓘ Series Resistor [R_se]			+10% -10%

✖Load resistance is the resistance value of load given for the network.ⓘ Load Resistance with respect to Transconductance [R_L]

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Formula

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Load Resistance with respect to Transconductance

Formula

`"R"_{"L"} = -("A"_{"v"}*(1/"g"_{"m"}+"R"_{"se"}))`

Example

`"4.312173kΩ"=-("-0.352"*(1/"2.04S"+"12.25kΩ"))`

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Load Resistance with respect to Transconductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load Resistance = -(Output Voltage Gain*(1/Transconductance+Series Resistor))
R_L = -(A_v*(1/g_m+R_se))
This formula uses 4 Variables

Variables Used

Load Resistance - (Measured in Ohm) - Load resistance is the resistance value of load given for the network.
Output Voltage Gain - Output voltage gain is the difference between the output signal voltage level in decibels and the input signal voltage level in decibels.
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.
Series Resistor - (Measured in Ohm) - Series Resistor is a current limiting resistor connected in series with the input voltage. It is used to limit maximum current flowing in a circuit.

STEP 1: Convert Input(s) to Base Unit

Output Voltage Gain: -0.352 --> No Conversion Required
Transconductance: 2.04 Siemens --> 2.04 Siemens No Conversion Required
Series Resistor: 12.25 Kilohm --> 12250 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_L = -(A_v*(1/g_m+R_se)) --> -((-0.352)*(1/2.04+12250))

Evaluating ... ...

R_L = 4312.17254901961

STEP 3: Convert Result to Output's Unit

4312.17254901961 Ohm -->4.31217254901961 Kilohm (Check conversion here)

FINAL ANSWER

4.31217254901961 ≈ 4.312173 Kilohm <-- Load Resistance

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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National Institute Of Technology (NIT), Hamirpur

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< 21 Amplifier Characteristics Calculators

Base Junction Width of Amplifier

Go Base Junction Width = (Base Emitter Area*[Charge-e]*Electron Diffusivity*Thermal Equilibrium Concentration)/Saturation Current

Saturation Current

Go Saturation Current = (Base Emitter Area*[Charge-e]*Electron Diffusivity*Thermal Equilibrium Concentration)/Base Junction Width

Differential Voltage in Amplifier

Go Differential Input Signal = Output Voltage/((Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1))

Output Voltage for Instrumentation Amplifier

Go Output Voltage = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1)*Differential Input Signal

Voltage Gain given Load Resistance

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

Load Power of Amplifier

Go Load Power = (Positive DC Voltage*Positive DC Current)+(Negative DC Voltage*Negative DC Current)

Signal Voltage of Amplifier

Go Signal Voltage = Input Voltage*((Input Resistance+Signal Resistance)/Input Resistance)

Input Voltage of Amplifier

Go Input Voltage = (Input Resistance/(Input Resistance+Signal Resistance))*Signal Voltage

Differential Gain of Instrumentation Amplifier

Go Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1)

Load Resistance with respect to Transconductance

Go Load Resistance = -(Output Voltage Gain*(1/Transconductance+Series Resistor))

Output Voltage Gain given Transconductance

Go Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor))

Open-Circuit Transresistance

Go Open Circuit Transresistance = Output Voltage/Input Current

Amplifier Power Efficiency

Go Power Efficiency Percentage = 100*(Load Power/Input Power)

Current Gain of Amplifier in Decibels

Go Current Gain in Decibels = 20*(log10(Current Gain) )

Output Voltage of Amplifier

Go Output Voltage = Voltage Gain*Input Voltage

Current Gain of Amplifier

Go Current Gain = Output Current/Input Current

Voltage Gain of Amplifier

Go Voltage Gain = Output Voltage/Input Voltage

Input Voltage at Maximum Power Dissipation

Go Input Voltage = (Peak Voltage*pi)/2

Peak Voltage at Maximum Power Dissipation

Go Peak Voltage = (2*Input Voltage)/pi

Power Gain of Amplifier

Go Power Gain = Load Power/Input Power

Open Circuit Time Constant of Amplifier

Go Open Circuit Time Constant = 1/Pole Frequency

Load Resistance with respect to Transconductance Formula

Load Resistance = -(Output Voltage Gain*(1/Transconductance+Series Resistor))
R_L = -(A_v*(1/g_m+R_se))

What is overall gain?

In other words, a circuit's overall gain (+dB), or attenuation (-dB) is the sum of the individual gains and attenuations for all stages connected between the input and output.

How to Calculate Load Resistance with respect to Transconductance?

Load Resistance with respect to Transconductance calculator uses Load Resistance = -(Output Voltage Gain*(1/Transconductance+Series Resistor)) to calculate the Load Resistance, The Load Resistance with respect to Transconductance is defined as the measure of the resistance of a transistor when it is in the active region and conducting current. Load Resistance is denoted by R_L symbol.

How to calculate Load Resistance with respect to Transconductance using this online calculator? To use this online calculator for Load Resistance with respect to Transconductance, enter Output Voltage Gain (A_v), Transconductance (g_m) & Series Resistor (R_se) and hit the calculate button. Here is how the Load Resistance with respect to Transconductance calculation can be explained with given input values -> 0.004485 = -((-0.352)*(1/0.00204+12250)).

FAQ

What is Load Resistance with respect to Transconductance?

The Load Resistance with respect to Transconductance is defined as the measure of the resistance of a transistor when it is in the active region and conducting current and is represented as R_L = -(A_v*(1/g_m+R_se)) or Load Resistance = -(Output Voltage Gain*(1/Transconductance+Series Resistor)). Output voltage gain is the difference between the output signal voltage level in decibels and the input signal voltage level in decibels, 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 & Series Resistor is a current limiting resistor connected in series with the input voltage. It is used to limit maximum current flowing in a circuit.

How to calculate Load Resistance with respect to Transconductance?

The Load Resistance with respect to Transconductance is defined as the measure of the resistance of a transistor when it is in the active region and conducting current is calculated using Load Resistance = -(Output Voltage Gain*(1/Transconductance+Series Resistor)). To calculate Load Resistance with respect to Transconductance, you need Output Voltage Gain (A_v), Transconductance (g_m) & Series Resistor (R_se). With our tool, you need to enter the respective value for Output Voltage Gain, Transconductance & Series Resistor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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