Current Gain of Amplifier in Decibels Solution

STEP 0: Pre-Calculation Summary
Formula Used
Current Gain in Decibels = 20*(log10(Current Gain))
Ai(dB) = 20*(log10(Ai))
This formula uses 1 Functions, 2 Variables
Functions Used
log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)
Variables Used
Current Gain in Decibels - (Measured in Decibel) - The Current Gain in decibels is 20 times of current gain with a logarithmic measure.
Current Gain - Current Gain is the ratio of output current to the input current of an amplifier is defined as current gain.
STEP 1: Convert Input(s) to Base Unit
Current Gain: 1.178 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ai(dB) = 20*(log10(Ai)) --> 20*(log10(1.178))
Evaluating ... ...
Ai(dB) = 1.42290580902166
STEP 3: Convert Result to Output's Unit
1.42290580902166 Decibel --> No Conversion Required
FINAL ANSWER
1.42290580902166 1.422906 Decibel <-- Current Gain in Decibels
(Calculation completed in 00.004 seconds)

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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

Current Gain of Amplifier in Decibels Formula

Current Gain in Decibels = 20*(log10(Current Gain))
Ai(dB) = 20*(log10(Ai))

Why do we calculate current gain in decibels?

Current gain is measured in dB for high voltage assets because for very high voltage values it is very tough to measure it practically. The decibel scale is logarithmic which compresses larger values on a smaller scale.

How to Calculate Current Gain of Amplifier in Decibels?

Current Gain of Amplifier in Decibels calculator uses Current Gain in Decibels = 20*(log10(Current Gain)) to calculate the Current Gain in Decibels, The Current Gain of Amplifier in Decibels formula is defined as the 20 times the current gain with a logarithmic measure. Current Gain in Decibels is denoted by Ai(dB) symbol.

How to calculate Current Gain of Amplifier in Decibels using this online calculator? To use this online calculator for Current Gain of Amplifier in Decibels, enter Current Gain (Ai) and hit the calculate button. Here is how the Current Gain of Amplifier in Decibels calculation can be explained with given input values -> 1.422906 = 20*(log10(1.178)).

FAQ

What is Current Gain of Amplifier in Decibels?
The Current Gain of Amplifier in Decibels formula is defined as the 20 times the current gain with a logarithmic measure and is represented as Ai(dB) = 20*(log10(Ai)) or Current Gain in Decibels = 20*(log10(Current Gain)). Current Gain is the ratio of output current to the input current of an amplifier is defined as current gain.
How to calculate Current Gain of Amplifier in Decibels?
The Current Gain of Amplifier in Decibels formula is defined as the 20 times the current gain with a logarithmic measure is calculated using Current Gain in Decibels = 20*(log10(Current Gain)). To calculate Current Gain of Amplifier in Decibels, you need Current Gain (Ai). With our tool, you need to enter the respective value for Current Gain 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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