Input Resistance of CG Amplifier Calculator

✖Finite input resistance is the finite resistance seen by the current source or voltage source which drives the circuit.ⓘ Finite Input Resistance [R_in]			+10% -10%
✖Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.ⓘ Load Resistance [R_L]			+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%

✖Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.ⓘ Input Resistance of CG Amplifier [R_t]

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Formula

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Input Resistance of CG Amplifier

Formula

`"R"_{"t"} = ("R"_{"in"}+"R"_{"L"})/(1+("g"_{"m"}*"R"_{"in"}))`

Example

`"0.478499kΩ"=("0.78kΩ"+"1.49kΩ")/(1+("4.8mS"*"0.78kΩ"))`

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Download High Frequency Response Amplifiers Formula PDF

Input Resistance of CG Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resistance = (Finite Input Resistance+Load Resistance)/(1+(Transconductance*Finite Input Resistance))
R_t = (R_in+R_L)/(1+(g_m*R_in))
This formula uses 4 Variables

Variables Used

Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
Finite Input Resistance - (Measured in Ohm) - Finite input resistance is the finite resistance seen by the current source or voltage source which drives the circuit.
Load Resistance - (Measured in Ohm) - Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.
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.

STEP 1: Convert Input(s) to Base Unit

Finite Input Resistance: 0.78 Kilohm --> 780 Ohm (Check conversion here)
Load Resistance: 1.49 Kilohm --> 1490 Ohm (Check conversion here)
Transconductance: 4.8 Millisiemens --> 0.0048 Siemens (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_t = (R_in+R_L)/(1+(g_m*R_in)) --> (780+1490)/(1+(0.0048*780))

Evaluating ... ...

R_t = 478.49915682968

STEP 3: Convert Result to Output's Unit

478.49915682968 Ohm -->0.47849915682968 Kilohm (Check conversion here)

FINAL ANSWER

0.47849915682968 ≈ 0.478499 Kilohm <-- Resistance

(Calculation completed in 00.004 seconds)

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< 6 Response of CG Amplifier Calculators

Open Circuit Time Constant in High Frequency Response of CG Amplifier

Go Open Circuit Time Constant = Gate to Source Capacitance*(1/Signal Resistance+Transconductance)+(Capacitance+Gate to Drain Capacitance)*Load Resistance

Input Resistance of CG Amplifier

Go Resistance = (Finite Input Resistance+Load Resistance)/(1+(Transconductance*Finite Input Resistance))

Load Resistance of CG Amplifier

Go Load Resistance = Resistance*(1+(Transconductance*Finite Input Resistance))-Finite Input Resistance

Second Pole-Frequency of CG Amplifier

Go Second Pole Frequency = 1/(2*pi*Load Resistance*(Gate to Drain Capacitance+Capacitance))

Open Circuit Time Constant between Gate and Drain of Common Gate Amplifier

Go Open Circuit Time Constant = (Capacitance+Gate to Drain Capacitance)*Load Resistance

Resistance between Gate and Source of CG Amplifier

Go Resistance = 1/(1/Finite Input Resistance+1/Signal Resistance)

< 25 Common Stage Amplifiers Calculators

Effective High Frequency Time Constant of CE Amplifier

Go Effective High Frequency Time Constant = Base Emitter Capacitance*Signal Resistance+(Collector Base Junction Capacitance*(Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance))+(Capacitance*Load Resistance)

High-Frequency Band given Complex Frequency Variable

Go Amplifier Gain in Mid Band = sqrt(((1+(3 dB Frequency/Frequency))*(1+(3 dB Frequency/Frequency Observed)))/((1+(3 dB Frequency/Pole Frequency))*(1+(3 dB Frequency/Second Pole Frequency))))

Open Circuit Time Constant in High Frequency Response of CG Amplifier

Go Open Circuit Time Constant = Gate to Source Capacitance*(1/Signal Resistance+Transconductance)+(Capacitance+Gate to Drain Capacitance)*Load Resistance

Test Current in Open Circuit Time Constants Method of CS Amplifier

Go Test Current = Transconductance*Gate to Source Voltage+(Test Voltage+Gate to Source Voltage)/Load Resistance

Input Capacitance in High-Frequency Gain of CE Amplifier

Go Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance))

Input Resistance of CG Amplifier

Go Resistance = (Finite Input Resistance+Load Resistance)/(1+(Transconductance*Finite Input Resistance))

Load Resistance of CG Amplifier

Go Load Resistance = Resistance*(1+(Transconductance*Finite Input Resistance))-Finite Input Resistance

Collector Base Junction Resistance of CE Amplifier

Go Collector Resistance = Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance

Open Circuit Time Constant between Gate and Drain of Common Gate Amplifier

Go Open Circuit Time Constant = (Capacitance+Gate to Drain Capacitance)*Load Resistance

Load Resistance of CS Amplifier

Go Load Resistance = (Output Voltage/(Transconductance*Gate to Source Voltage))

High-Frequency Response given Input Capacitance

Go High Frequency Response = 1/(2*pi*Signal Resistance*Input Capacitance)

Output Voltage of CS Amplifier

Go Output Voltage = Transconductance*Gate to Source Voltage*Load Resistance

Equivalent Signal Resistance of CS Amplifier

Go Internal Small Signal Resistance = 1/((1/Signal Resistance+1/Output Resistance))

Frequency of Zero Transmission of CS Amplifier

Go Transmission Frequency = 1/(Bypass Capacitor*Signal Resistance)

Bypass Capacitance of CS Amplifier

Go Bypass Capacitor = 1/(Transmission Frequency*Signal Resistance)

Resistance between Gate and Source of CG Amplifier

Go Resistance = 1/(1/Finite Input Resistance+1/Signal Resistance)

High-Frequency Gain of CE Amplifier

Go High Frequency Response = Upper 3-dB Frequency/(2*pi)

Upper 3dB Frequency of CE Amplifier

Go Upper 3-dB Frequency = 2*pi*High Frequency Response

Drain Voltage through Method of Open-Circuit Time Constants to CS Amplifier

Go Drain Voltage = Test Voltage+Gate to Source Voltage

Source Voltage of CS Amplifier

Go Gate to Source Voltage = Drain Voltage-Test Voltage

Midband Gain of CS Amplifier

Go Mid Band Gain = Output Voltage/Small Signal Voltage

Amplifier Bandwidth in Discrete-Circuit Amplifier

Go Amplifier Bandwidth = High Frequency-Low Frequency

Mid Band Gain of CE Amplifier

Go Mid Band Gain = Output Voltage/Threshold Voltage

Resistance between Gate and Drain in Open Circuit Time Constants Method of CS Amplifier

Go Resistance = Test Voltage/Test Current

Current Gain of CS Amplifier

Go Current Gain = Power Gain/Voltage Gain

Input Resistance of CG Amplifier Formula

Resistance = (Finite Input Resistance+Load Resistance)/(1+(Transconductance*Finite Input Resistance))
R_t = (R_in+R_L)/(1+(g_m*R_in))

What is CG amplifier?

In electronics, a common-gate amplifier is one of three basic single-stage field-effect transistor (FET) amplifier topologies, typically used as a current buffer or voltage amplifier. In this circuit the source terminal of the transistor serves as the input, the drain is the output and the gate is connected to the ground, or "common," hence its name. The analogous bipolar junction transistor circuit is the common-base amplifier.

How to Calculate Input Resistance of CG Amplifier?

Input Resistance of CG Amplifier calculator uses Resistance = (Finite Input Resistance+Load Resistance)/(1+(Transconductance*Finite Input Resistance)) to calculate the Resistance, The input resistance of CG amplifier formula is defined as the resistance seen by the current source or voltage source which drives the circuit. Resistance is denoted by R_t symbol.

How to calculate Input Resistance of CG Amplifier using this online calculator? To use this online calculator for Input Resistance of CG Amplifier, enter Finite Input Resistance (R_in), Load Resistance (R_L) & Transconductance (g_m) and hit the calculate button. Here is how the Input Resistance of CG Amplifier calculation can be explained with given input values -> 0.00048 = (780+1490)/(1+(0.0048*780)).

FAQ

What is Input Resistance of CG Amplifier?

The input resistance of CG amplifier formula is defined as the resistance seen by the current source or voltage source which drives the circuit and is represented as R_t = (R_in+R_L)/(1+(g_m*R_in)) or Resistance = (Finite Input Resistance+Load Resistance)/(1+(Transconductance*Finite Input Resistance)). Finite input resistance is the finite resistance seen by the current source or voltage source which drives the circuit, Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit & 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.

How to calculate Input Resistance of CG Amplifier?

The input resistance of CG amplifier formula is defined as the resistance seen by the current source or voltage source which drives the circuit is calculated using Resistance = (Finite Input Resistance+Load Resistance)/(1+(Transconductance*Finite Input Resistance)). To calculate Input Resistance of CG Amplifier, you need Finite Input Resistance (R_in), Load Resistance (R_L) & Transconductance (g_m). With our tool, you need to enter the respective value for Finite Input Resistance, Load Resistance & Transconductance 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 Resistance?

In this formula, Resistance uses Finite Input Resistance, Load Resistance & Transconductance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Resistance = 1/(1/Finite Input Resistance+1/Signal Resistance)
Resistance = Test Voltage/Test Current
Resistance = 1/(1/Finite Input Resistance+1/Signal Resistance)

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