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Equivalent Capacitance for n Stacked Spirals Formula

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Equivalent Capacitance of N Stacked Spirals is calculated by considering the capacitance between each pair of adjacent spirals and the capacitance between each spiral and the substrate. Check FAQs

C eq = 4 \cdot \frac{(\sum (x, 1, N - 1, C m + C s))}{3 \cdot ({(N)}^{2})}

C_eq - Equivalent Capacitance of N Stacked Spirals?N - Number of Stacked Spirals?C_m - Inter Spiral Capacitance?C_s - Substrate Capacitance?

Equivalent Capacitance for n Stacked Spirals Example

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Here is how the Equivalent Capacitance for n Stacked Spirals equation looks like with Values.

Here is how the Equivalent Capacitance for n Stacked Spirals equation looks like with Units.

Here is how the Equivalent Capacitance for n Stacked Spirals equation looks like.

2.6667 = 4 \cdot \frac{(\sum (x, 1, 2 - 1, 4.5 + 3.5))}{3 \cdot ({(2)}^{2})}

2.6667F = 4 \cdot \frac{(\sum (x, 1, 2 - 1, 4.5F + 3.5F))}{3 \cdot ({(2)}^{2})}

2.6667 = 4 \cdot \frac{(\sum (x, 1, 2 - 1, 4.5 + 3.5))}{3 \cdot ({(2)}^{2})}

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Equivalent Capacitance for n Stacked Spirals Solution

Follow our step by step solution on how to calculate Equivalent Capacitance for n Stacked Spirals?

FIRST Step Consider the formula

C eq = 4 \cdot \frac{(\sum (x, 1, N - 1, C m + C s))}{3 \cdot ({(N)}^{2})}

Next Step Substitute values of Variables

∴

C eq = 4 \cdot \frac{(\sum (x, 1, 2 - 1, 4.5F + 3.5F))}{3 \cdot ({(2)}^{2})}

Next Step Prepare to Evaluate

∴

C eq = 4 \cdot \frac{(\sum (x, 1, 2 - 1, 4.5 + 3.5))}{3 \cdot ({(2)}^{2})}

Next Step Evaluate

∴

C eq = 2.66666666666667F

LAST Step Rounding Answer

∴

C eq = 2.6667F

Equivalent Capacitance for n Stacked Spirals Formula Elements

Variables

Functions

Equivalent Capacitance of N Stacked Spirals

Equivalent Capacitance of N Stacked Spirals is calculated by considering the capacitance between each pair of adjacent spirals and the capacitance between each spiral and the substrate.

Symbol: C_eq

Measurement: CapacitanceUnit: F

Note: Value can be positive or negative.

Formulas to find Equivalent Capacitance of N Stacked Spirals

Number of Stacked Spirals

Number of Stacked Spirals in an inductor design depends on various factors such as the desired inductance value, the available space on the integrated circuit (IC).

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Stacked Spirals

Inter Spiral Capacitance

Inter Spiral Capacitance refers to the capacitance between adjacent spiral inductors on an integrated circuit.

Symbol: C_m

Measurement: CapacitanceUnit: F

Note: Value can be positive or negative.

Formulas to find Inter Spiral Capacitance

Substrate Capacitance

Substrate Capacitance, also known as parasitic substrate capacitance, refers to the capacitance that exists between conductive elements in an integrated circuit.

Symbol: C_s

Measurement: CapacitanceUnit: F

Note: Value can be positive or negative.

Formulas to find Substrate Capacitance

sum

Summation or sigma (∑) notation is a method used to write out a long sum in a concise way.

Syntax: sum(i, from, to, expr)

Other formulas in RF Microelectronics category

Go Return Loss of Low-Noise Amplifier

Γ = mod \underset{̲}{u} s {(\frac{Z in - R s}{Z in + R s})}^{2}

Go Voltage Gain of Low Noise Amplifier

A v = g m \cdot R d

Go Voltage Gain of Low Noise Amplifier given DC Voltage Drop

A v = 2 \cdot \frac{V rd}{V gs - V th}

Go Output Impedance of Low Noise Amplifier

R out = (\frac{1}{2}) \cdot (R f + R s)

How to Evaluate Equivalent Capacitance for n Stacked Spirals?

Equivalent Capacitance for n Stacked Spirals evaluator uses Equivalent Capacitance of N Stacked Spirals = 4*((sum(x,1,Number of Stacked Spirals-1,Inter Spiral Capacitance+Substrate Capacitance)))/(3*((Number of Stacked Spirals)^2)) to evaluate the Equivalent Capacitance of N Stacked Spirals, The Equivalent Capacitance for n Stacked Spirals formula is defined as the equivalent capacitance which is calculated by considering the inter-spiral capacitance and substrate capacitance. Equivalent Capacitance of N Stacked Spirals is denoted by C_eq symbol.

How to evaluate Equivalent Capacitance for n Stacked Spirals using this online evaluator? To use this online evaluator for Equivalent Capacitance for n Stacked Spirals, enter Number of Stacked Spirals (N), Inter Spiral Capacitance (C_m) & Substrate Capacitance (C_s) and hit the calculate button.

FAQs on Equivalent Capacitance for n Stacked Spirals

What is the formula to find Equivalent Capacitance for n Stacked Spirals?

The formula of Equivalent Capacitance for n Stacked Spirals is expressed as Equivalent Capacitance of N Stacked Spirals = 4*((sum(x,1,Number of Stacked Spirals-1,Inter Spiral Capacitance+Substrate Capacitance)))/(3*((Number of Stacked Spirals)^2)). Here is an example- 2.666667 = 4*((sum(x,1,2-1,4.5+3.5)))/(3*((2)^2)).

How to calculate Equivalent Capacitance for n Stacked Spirals?

With Number of Stacked Spirals (N), Inter Spiral Capacitance (C_m) & Substrate Capacitance (C_s) we can find Equivalent Capacitance for n Stacked Spirals using the formula - Equivalent Capacitance of N Stacked Spirals = 4*((sum(x,1,Number of Stacked Spirals-1,Inter Spiral Capacitance+Substrate Capacitance)))/(3*((Number of Stacked Spirals)^2)). This formula also uses Summation Notation (sum) function(s).

Can the Equivalent Capacitance for n Stacked Spirals be negative?

Yes, the Equivalent Capacitance for n Stacked Spirals, measured in Capacitance can be negative.

Which unit is used to measure Equivalent Capacitance for n Stacked Spirals?

Equivalent Capacitance for n Stacked Spirals is usually measured using the Farad[F] for Capacitance. Kilofarad[F], Millifarad[F], Microfarad[F] are the few other units in which Equivalent Capacitance for n Stacked Spirals can be measured.

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Equivalent Capacitance for n Stacked Spirals Formula

Equivalent Capacitance for n Stacked Spirals Example

Equivalent Capacitance for n Stacked Spirals Solution

Equivalent Capacitance for n Stacked Spirals Formula Elements

Other formulas in RF Microelectronics category

How to Evaluate Equivalent Capacitance for n Stacked Spirals?

FAQs on Equivalent Capacitance for n Stacked Spirals

Variable Name