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Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
open_circuit_voltage_gain = Output voltage*Transconductance/output current
Avo = Vo*gm/i
This formula uses 3 Variables
Variables Used
Output voltage - Output voltage signifies the voltage of the signal after it has been amplified. (Measured in Volt)
Transconductance - 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. (Measured in Ampere per Volt)
output current - output current is the current the amplifier draws from the signal source (Measured in Ampere)
STEP 1: Convert Input(s) to Base Unit
Output voltage: 10 Volt --> 10 Volt No Conversion Required
Transconductance: 8 Ampere per Volt --> 8 Siemens (Check conversion here)
output current: 1 Ampere --> 1 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Avo = Vo*gm/i --> 10*8/1
Evaluating ... ...
Avo = 80
STEP 3: Convert Result to Output's Unit
80 --> No Conversion Required
FINAL ANSWER
80 <-- Open circuit voltage gain
(Calculation completed in 00.016 seconds)

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Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given Formula

open_circuit_voltage_gain = Output voltage*Transconductance/output current
Avo = Vo*gm/i

What are the conditions assumed while calculating short circuit transconductance?

It is calculated by considering the condition that the instantaneous output voltage is zero. Also, Ro and Ri are infinite.

How to Calculate Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given?

Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given calculator uses open_circuit_voltage_gain = Output voltage*Transconductance/output current to calculate the Open circuit voltage gain, The Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given formula is defined as the ratio of the voltage across the output port to the voltage across the input port when the output port is an open circuit. Open circuit voltage gain and is denoted by Avo symbol.

How to calculate Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given using this online calculator? To use this online calculator for Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given, enter Output voltage (Vo), Transconductance (gm) and output current (i) and hit the calculate button. Here is how the Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given calculation can be explained with given input values -> 80 = 10*8/1.

FAQ

What is Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given?
The Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given formula is defined as the ratio of the voltage across the output port to the voltage across the input port when the output port is an open circuit and is represented as Avo = Vo*gm/i or open_circuit_voltage_gain = Output voltage*Transconductance/output current. Output voltage signifies the voltage of the signal after it has been amplified, 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 and output current is the current the amplifier draws from the signal source.
How to calculate Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given?
The Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given formula is defined as the ratio of the voltage across the output port to the voltage across the input port when the output port is an open circuit is calculated using open_circuit_voltage_gain = Output voltage*Transconductance/output current. To calculate Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given, you need Output voltage (Vo), Transconductance (gm) and output current (i). With our tool, you need to enter the respective value for Output voltage, Transconductance and output current 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 Open circuit voltage gain?
In this formula, Open circuit voltage gain uses Output voltage, Transconductance and output current. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • power_gain = voltage gain*current gain
  • transfer_func = Gain factor*Input capacitance*Source resistance*Input resistance/((1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance))*(Source resistance+Input resistance)*(Input capacitance*Source resistance*Source resistance+Source resistance+Input resistance))
  • transfer_func = Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance))*(1+(Input capacitance*Input resistance*Source resistance/(Source resistance+Input resistance)))
  • trans_func_p = (Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance)))/(1+(w stc/wₒ stc))
  • trans_func_p = (Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance)))/(1-(wₒ stc/w stc))
  • magnitude_response = (modulus(Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance))))/sqrt(1+(w stc/wₒ stc)^2)
  • magnitude_response = (modulus(Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance))))/sqrt(1+(wₒ stc/w stc)^2)
  • output_signal = Power gain*input signal
  • power_delivered = (Positive dc voltage*Positive dc current)+(Negative dc voltage*Negative dc current)
  • amplifier_power_efficiency = 100*power delivered to load/dc power delivered to the amplifier
Where is the Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given calculator used?
Among many, Open-Circuit voltage gain of an amplifier when short-circuit transconductance is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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