Maximum Voltage Gain at Resonance Calculator

✖Transconductance in Circuit quantifies the relationship between the input voltage and the resulting output current.ⓘ Transconductance [g_m]			+10% -10%
✖Conductance in Circuit is a measure of a material's ability to conduct electric current.ⓘ Conductance [G]			+10% -10%

✖Maximum Voltage Gain at Resonance refers to the highest achievable amplification of voltage in a circuit when it is operating at its resonant frequency.ⓘ Maximum Voltage Gain at Resonance [A_max]

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Formula

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Maximum Voltage Gain at Resonance

Formula

A max = \frac{g m}{G}

Example

4 = \frac{2 S}{0.5 S}

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Maximum Voltage Gain at Resonance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Voltage Gain at Resonance = Transconductance/Conductance
A_max = g_m/G
This formula uses 3 Variables

Variables Used

Maximum Voltage Gain at Resonance - Maximum Voltage Gain at Resonance refers to the highest achievable amplification of voltage in a circuit when it is operating at its resonant frequency.
Transconductance - (Measured in Siemens) - Transconductance in Circuit quantifies the relationship between the input voltage and the resulting output current.
Conductance - (Measured in Siemens) - Conductance in Circuit is a measure of a material's ability to conduct electric current.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 2 Siemens --> 2 Siemens No Conversion Required
Conductance: 0.5 Siemens --> 0.5 Siemens No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_max = g_m/G --> 2/0.5

Evaluating ... ...

A_max = 4

STEP 3: Convert Result to Output's Unit

4 --> No Conversion Required

FINAL ANSWER

4 <-- Maximum Voltage Gain at Resonance

(Calculation completed in 00.004 seconds)

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Created by Simran Shravan Nishad

Sinhgad College Of Engineering (SCOE), Pune

Simran Shravan Nishad has created this Calculator and 25+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

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Maximum Voltage Gain at Resonance Formula

Maximum Voltage Gain at Resonance = Transconductance/Conductance
A_max = g_m/G

What is Resonance in simple terms ?

Resonance is a phenomenon that occurs when a system is subjected to an oscillating force at its natural frequency. When this happens, the amplitude of the system's oscillations can increase significantly, leading to a buildup of energy within the system.

How to Calculate Maximum Voltage Gain at Resonance?

Maximum Voltage Gain at Resonance calculator uses Maximum Voltage Gain at Resonance = Transconductance/Conductance to calculate the Maximum Voltage Gain at Resonance, The Maximum Voltage Gain at Resonance refers to the highest achievable amplification of voltage in a circuit when it is operating at its resonant frequency. Maximum Voltage Gain at Resonance is denoted by A_max symbol.

How to calculate Maximum Voltage Gain at Resonance using this online calculator? To use this online calculator for Maximum Voltage Gain at Resonance, enter Transconductance (g_m) & Conductance (G) and hit the calculate button. Here is how the Maximum Voltage Gain at Resonance calculation can be explained with given input values -> 4 = 2/0.5.

FAQ

What is Maximum Voltage Gain at Resonance?

The Maximum Voltage Gain at Resonance refers to the highest achievable amplification of voltage in a circuit when it is operating at its resonant frequency and is represented as A_max = g_m/G or Maximum Voltage Gain at Resonance = Transconductance/Conductance. Transconductance in Circuit quantifies the relationship between the input voltage and the resulting output current & Conductance in Circuit is a measure of a material's ability to conduct electric current.

How to calculate Maximum Voltage Gain at Resonance?

The Maximum Voltage Gain at Resonance refers to the highest achievable amplification of voltage in a circuit when it is operating at its resonant frequency is calculated using Maximum Voltage Gain at Resonance = Transconductance/Conductance. To calculate Maximum Voltage Gain at Resonance, you need Transconductance (g_m) & Conductance (G). With our tool, you need to enter the respective value for Transconductance & Conductance 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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