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Miller Capacitance Formula

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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. Check FAQs

C m = C gd \cdot (1 + \frac{1}{g m \cdot R L})

C_m - Miller Capacitance?C_gd - Gate to Drain Capacitance?g_m - Transconductance?R_L - Load Resistance?

Miller Capacitance Example

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With units

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Here is how the Miller Capacitance equation looks like with Values.

Here is how the Miller Capacitance equation looks like with Units.

Here is how the Miller Capacitance equation looks like.

2.7024 = 2.7 \cdot (1 + \frac{1}{0.25 \cdot 4.5})

2.7024μF = 2.7μF \cdot (1 + \frac{1}{0.25S \cdot 4.5kΩ})

2.7024 = 2.7 \cdot (1 + \frac{1}{0.25 \cdot 4.5})

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Miller Capacitance Solution

Follow our step by step solution on how to calculate Miller Capacitance?

FIRST Step Consider the formula

C m = C gd \cdot (1 + \frac{1}{g m \cdot R L})

Next Step Substitute values of Variables

∴

C m = 2.7μF \cdot (1 + \frac{1}{0.25S \cdot 4.5kΩ})

Next Step Convert Units

∴

C m = 2.7E-6F \cdot (1 + \frac{1}{0.25S \cdot 4500Ω})

Next Step Prepare to Evaluate

∴

C m = 2.7E-6 \cdot (1 + \frac{1}{0.25 \cdot 4500})

Next Step Evaluate

∴

C m = 2.7024E-06F

LAST Step Convert to Output's Unit

∴

C m = 2.7024μF

Miller Capacitance Formula Elements

Variables

Miller Capacitance

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.

Symbol: C_m

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Miller Capacitance

Gate to Drain Capacitance

Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET.

Symbol: C_gd

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Gate to Drain Capacitance

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.

Symbol: g_m

Measurement: Electric ConductanceUnit: S

Note: Value should be greater than 0.

Formulas to find Transconductance

Load Resistance

Load Resistance is defined as the opposition faced by the current flowing through the load terminal of an amplifier based circuit.

Symbol: R_L

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Load Resistance

Other formulas in Miller’s Theorem category

Go Current at Primary Node of Amplifier

i 1 = \frac{V a}{Z 1}

Go Change in Drain Current

i d = - \frac{V a}{Z 2}

Go Primary Impedance in Miller Capacitance

Z 1 = \frac{Z t}{1 - (A v)}

Go Secondary Impedance in Miller Capacitance

Z 2 = \frac{Z t}{1 - (\frac{1}{A v})}

How to Evaluate Miller Capacitance?

Miller Capacitance evaluator uses Miller Capacitance = Gate to Drain Capacitance*(1+1/(Transconductance*Load Resistance)) to evaluate 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 evaluate Miller Capacitance using this online evaluator? To use this online evaluator for Miller Capacitance, enter Gate to Drain Capacitance (C_gd), Transconductance (g_m) & Load Resistance (R_L) and hit the calculate button.

FAQs on Miller Capacitance

What is the formula to find Miller Capacitance?

The formula of Miller Capacitance is expressed as Miller Capacitance = Gate to Drain Capacitance*(1+1/(Transconductance*Load Resistance)). Here is an example- 5.2E+6 = 2.7E-06*(1+1/(0.25*4500)).

How to calculate Miller Capacitance?

With Gate to Drain Capacitance (C_gd), Transconductance (g_m) & Load Resistance (R_L) we can find Miller Capacitance using the formula - Miller Capacitance = Gate to Drain Capacitance*(1+1/(Transconductance*Load Resistance)).

Can the Miller Capacitance be negative?

No, the Miller Capacitance, measured in Capacitance cannot be negative.

Which unit is used to measure Miller Capacitance?

Miller Capacitance is usually measured using the Microfarad[μF] for Capacitance. Farad[μF], Kilofarad[μF], Millifarad[μF] are the few other units in which Miller Capacitance can be measured.

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Miller Capacitance Formula

Miller Capacitance Example

Miller Capacitance Solution

Miller Capacitance Formula Elements

Other formulas in Miller’s Theorem category

How to Evaluate Miller Capacitance?

FAQs on Miller Capacitance

Variable Name