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Primary Impedance in Miller Capacitance Formula

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Impedance of Primary Winding refers to the total opposition or resistance to the flow of alternating current in the primary coil. Check FAQs

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

Z₁ - Impedance of Primary Winding?Z_t - Total Impedance?A_v - Voltage Gain?

Primary Impedance in Miller Capacitance Example

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

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

Here is how the Primary Impedance in Miller Capacitance equation looks like.

0.1093 = \frac{1.23}{1 - (-10.25)}

0.1093kΩ = \frac{1.23kΩ}{1 - (-10.25)}

0.1093 = \frac{1.23}{1 - (-10.25)}

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Primary Impedance in Miller Capacitance Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Z 1 = \frac{1.23kΩ}{1 - (-10.25)}

Next Step Convert Units

∴

Z 1 = \frac{1230Ω}{1 - (-10.25)}

Next Step Prepare to Evaluate

∴

Z 1 = \frac{1230}{1 - (-10.25)}

Next Step Evaluate

∴

Z 1 = 109.333333333333Ω

Next Step Convert to Output's Unit

∴

Z 1 = 0.109333333333333kΩ

LAST Step Rounding Answer

∴

Z 1 = 0.1093kΩ

Primary Impedance in Miller Capacitance Formula Elements

Variables

Impedance of Primary Winding

Impedance of Primary Winding refers to the total opposition or resistance to the flow of alternating current in the primary coil.

Symbol: Z₁

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Impedance of Primary Winding

Total Impedance

Total Impedance refers to the overall opposition or resistance to the flow of alternating current (AC) in an electrical circuit.

Symbol: Z_t

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Total Impedance

Voltage Gain

Voltage Gain refers to the mathematical relationship or equation that describes how an amplifier modifies the input voltage to produce an output voltage.

Symbol: A_v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Voltage Gain

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 Miller Capacitance

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

Go Secondary Impedance in Miller Capacitance

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

How to Evaluate Primary Impedance in Miller Capacitance?

Primary Impedance in Miller Capacitance evaluator uses Impedance of Primary Winding = Total Impedance/(1-(Voltage Gain)) to evaluate the Impedance of Primary Winding, The Primary Impedance in Miller Capacitance formula is defined as the impedance seen at the input or output of an amplifier due to the presence of a capacitance in the circuit. It takes into account the capacitance value and the gain of the amplifier. Impedance of Primary Winding is denoted by Z₁ symbol.

How to evaluate Primary Impedance in Miller Capacitance using this online evaluator? To use this online evaluator for Primary Impedance in Miller Capacitance, enter Total Impedance (Z_t) & Voltage Gain (A_v) and hit the calculate button.

FAQs on Primary Impedance in Miller Capacitance

What is the formula to find Primary Impedance in Miller Capacitance?

The formula of Primary Impedance in Miller Capacitance is expressed as Impedance of Primary Winding = Total Impedance/(1-(Voltage Gain)). Here is an example- 0.000109 = 1230/(1-((-10.25))).

How to calculate Primary Impedance in Miller Capacitance?

With Total Impedance (Z_t) & Voltage Gain (A_v) we can find Primary Impedance in Miller Capacitance using the formula - Impedance of Primary Winding = Total Impedance/(1-(Voltage Gain)).

Can the Primary Impedance in Miller Capacitance be negative?

No, the Primary Impedance in Miller Capacitance, measured in Electric Resistance cannot be negative.

Which unit is used to measure Primary Impedance in Miller Capacitance?

Primary Impedance in Miller Capacitance is usually measured using the Kilohm[kΩ] for Electric Resistance. Ohm[kΩ], Megohm[kΩ], Microhm[kΩ] are the few other units in which Primary Impedance in Miller Capacitance can be measured.

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