Load Resistance of CG Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Load Resistance = Resistance*(1+(Transconductance*Finite Input Resistance))-Finite Input Resistance
RL = Rt*(1+(gm*Rin))-Rin
This formula uses 4 Variables
Variables Used
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.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Resistance: 0.48 Kilohm --> 480 Ohm (Check conversion here)
Transconductance: 4.8 Millisiemens --> 0.0048 Siemens (Check conversion here)
Finite Input Resistance: 0.78 Kilohm --> 780 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RL = Rt*(1+(gm*Rin))-Rin --> 480*(1+(0.0048*780))-780
Evaluating ... ...
RL = 1497.12
STEP 3: Convert Result to Output's Unit
1497.12 Ohm -->1.49712 Kilohm (Check conversion here)
FINAL ANSWER
1.49712 Kilohm <-- Load Resistance
(Calculation completed in 00.020 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

Load Resistance of CG Amplifier Formula

Load Resistance = Resistance*(1+(Transconductance*Finite Input Resistance))-Finite Input Resistance
RL = Rt*(1+(gm*Rin))-Rin

What does a CG Amplifier do?

A CG amplifier, also known as a Cathode Gain Amplifier, is a crucial component in modern vacuum tubes. It amplifies the cathode current, which controls the output signal, allowing for greater signal gain and overall performance. The amplifier employs a combination of grid and plate resistances to boost the cathode current, resulting in improved audio quality and frequency response.

How to Calculate Load Resistance of CG Amplifier?

Load Resistance of CG Amplifier calculator uses Load Resistance = Resistance*(1+(Transconductance*Finite Input Resistance))-Finite Input Resistance to calculate the Load Resistance, Load Resistance of CG Amplifier refers to the opposition to the current flowing through the output transistor when the input signal is applied. This resistance is crucial in determining the amplifier's gain and stability. Load Resistance is denoted by RL symbol.

How to calculate Load Resistance of CG Amplifier using this online calculator? To use this online calculator for Load Resistance of CG Amplifier, enter Resistance (Rt), Transconductance (gm) & Finite Input Resistance (Rin) and hit the calculate button. Here is how the Load Resistance of CG Amplifier calculation can be explained with given input values -> 0.001497 = 480*(1+(0.0048*780))-780.

FAQ

What is Load Resistance of CG Amplifier?
Load Resistance of CG Amplifier refers to the opposition to the current flowing through the output transistor when the input signal is applied. This resistance is crucial in determining the amplifier's gain and stability and is represented as RL = Rt*(1+(gm*Rin))-Rin or Load Resistance = Resistance*(1+(Transconductance*Finite Input Resistance))-Finite Input Resistance. Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm, 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 & Finite input resistance is the finite resistance seen by the current source or voltage source which drives the circuit.
How to calculate Load Resistance of CG Amplifier?
Load Resistance of CG Amplifier refers to the opposition to the current flowing through the output transistor when the input signal is applied. This resistance is crucial in determining the amplifier's gain and stability is calculated using Load Resistance = Resistance*(1+(Transconductance*Finite Input Resistance))-Finite Input Resistance. To calculate Load Resistance of CG Amplifier, you need Resistance (Rt), Transconductance (gm) & Finite Input Resistance (Rin). With our tool, you need to enter the respective value for Resistance, Transconductance & Finite Input 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 Load Resistance?
In this formula, Load Resistance uses Resistance, Transconductance & Finite Input Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Load Resistance = (Output Voltage/(Transconductance*Gate to Source Voltage))
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