Miller Capacitance Calculator

✖Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET.ⓘ Gate to Drain Capacitance [C_gd]			+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%
✖Load Resistance is defined as the opposition faced by the current flowing through the load terminal of an amplifier based circuit.ⓘ Load Resistance [R_L]			+10% -10%

✖Miller Capacitance refers to capacitance, any impedance connected between the input and another node exhibiting gain can modify the amplifier input impedance via this effect.ⓘ Miller Capacitance [C_m]

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Formula

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Miller Capacitance

Formula

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

Example

`"2.7024μF"="2.7μF"*(1+1/("0.25S"*"4.5kΩ"))`

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Miller Capacitance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Miller Capacitance = Gate to Drain Capacitance*(1+1/(Transconductance*Load Resistance))
C_m = C_gd*(1+1/(g_m*R_L))
This formula uses 4 Variables

Variables Used

Miller Capacitance - (Measured in Farad) - Miller Capacitance refers to capacitance, any impedance connected between the input and another node exhibiting gain can modify the amplifier input impedance via this effect.
Gate to Drain Capacitance - (Measured in Farad) - Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET.
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.
Load Resistance - (Measured in Ohm) - Load Resistance is defined as the opposition faced by the current flowing through the load terminal of an amplifier based circuit.

STEP 1: Convert Input(s) to Base Unit

Gate to Drain Capacitance: 2.7 Microfarad --> 2.7E-06 Farad (Check conversion here)
Transconductance: 0.25 Siemens --> 0.25 Siemens No Conversion Required
Load Resistance: 4.5 Kilohm --> 4500 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_m = C_gd*(1+1/(g_m*R_L)) --> 2.7E-06*(1+1/(0.25*4500))

Evaluating ... ...

C_m = 2.7024E-06

STEP 3: Convert Result to Output's Unit

2.7024E-06 Farad -->2.7024 Microfarad (Check conversion here)

FINAL ANSWER

2.7024 Microfarad <-- Miller Capacitance

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 6 Miller’s Theorem Calculators

Miller Capacitance

Go Miller Capacitance = Gate to Drain Capacitance*(1+1/(Transconductance*Load Resistance))

Total Current in Miller Capacitance

Go Total Current = Primary Voltage*(1-(Voltage Gain))/Total Impedance

Current at Primary Node of Amplifier

Go Current in Primary Conductor = A-Phase Voltage/Impedance of Primary Winding

Change in Drain Current

Go Change in Drain Current = -A-Phase Voltage/Impedance of Secondary Winding

Secondary Impedance in Miller Capacitance

Go Impedance of Secondary Winding = Total Impedance/(1-(1/Voltage Gain))

Primary Impedance in Miller Capacitance

Go Impedance of Primary Winding = Total Impedance/(1-(Voltage Gain))

Miller Capacitance Formula

Miller Capacitance = Gate to Drain Capacitance*(1+1/(Transconductance*Load Resistance))
C_m = C_gd*(1+1/(g_m*R_L))

What does Miller's theorem state?

The Miller theorem refers to the process of creating equivalent circuits. It asserts that a floating impedance element, supplied by two voltage sources connected in series, may be split into two grounded elements with corresponding impedances.

How to Calculate Miller Capacitance?

Miller Capacitance calculator uses Miller Capacitance = Gate to Drain Capacitance*(1+1/(Transconductance*Load Resistance)) to calculate the Miller Capacitance, The Miller Capacitance at output formula refers to capacitance or impedance connected between input and another node which exhibits gain. It can modify amplifier's input impedance via this effect. Miller capacitance was identified in 1920 in triode vacuum tubes by John Milton Miller. Miller Capacitance is denoted by C_m symbol.

How to calculate Miller Capacitance using this online calculator? To use this online calculator for Miller Capacitance, enter Gate to Drain Capacitance (C_gd), Transconductance (g_m) & Load Resistance (R_L) and hit the calculate button. Here is how the Miller Capacitance calculation can be explained with given input values -> 5.2E+6 = 2.7E-06*(1+1/(0.25*4500)).

FAQ

What is Miller Capacitance?

The Miller Capacitance at output formula refers to capacitance or impedance connected between input and another node which exhibits gain. It can modify amplifier's input impedance via this effect. Miller capacitance was identified in 1920 in triode vacuum tubes by John Milton Miller and is represented as C_m = C_gd*(1+1/(g_m*R_L)) or Miller Capacitance = Gate to Drain Capacitance*(1+1/(Transconductance*Load Resistance)). Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET, 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 & Load Resistance is defined as the opposition faced by the current flowing through the load terminal of an amplifier based circuit.

How to calculate Miller Capacitance?

The Miller Capacitance at output formula refers to capacitance or impedance connected between input and another node which exhibits gain. It can modify amplifier's input impedance via this effect. Miller capacitance was identified in 1920 in triode vacuum tubes by John Milton Miller is calculated using Miller Capacitance = Gate to Drain Capacitance*(1+1/(Transconductance*Load Resistance)). To calculate Miller Capacitance, you need Gate to Drain Capacitance (C_gd), Transconductance (g_m) & Load Resistance (R_L). With our tool, you need to enter the respective value for Gate to Drain Capacitance, Transconductance & Load Resistance 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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