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Energy Stored in all Unit Capacitances Formula

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Energy Stored in All Unit Capacitances is the total energy of the unit capacitors which are connected by the interwinding. Check FAQs

E tot = (\frac{1}{2}) \cdot C u \cdot (\sum (x, 1, K, ({(\frac{n}{K})}^{2}) \cdot ({(V 1)}^{2})))

E_tot - Energy Stored in All Unit Capacitances?C_u - Value of Unit capacitance?K - Number of Inductors?n - Value of Node N?V₁ - Input Voltage?

Energy Stored in all Unit Capacitances Example

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Here is how the Energy Stored in all Unit Capacitances equation looks like with Values.

Here is how the Energy Stored in all Unit Capacitances equation looks like with Units.

Here is how the Energy Stored in all Unit Capacitances equation looks like.

37.5 = (\frac{1}{2}) \cdot 6 \cdot (\sum (x, 1, 2, ({(\frac{2}{2})}^{2}) \cdot ({(2.5)}^{2})))

37.5J = (\frac{1}{2}) \cdot 6F \cdot (\sum (x, 1, 2, ({(\frac{2}{2})}^{2}) \cdot ({(2.5V)}^{2})))

37.5 = (\frac{1}{2}) \cdot 6 \cdot (\sum (x, 1, 2, ({(\frac{2}{2})}^{2}) \cdot ({(2.5)}^{2})))

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Energy Stored in all Unit Capacitances Solution

Follow our step by step solution on how to calculate Energy Stored in all Unit Capacitances?

FIRST Step Consider the formula

E tot = (\frac{1}{2}) \cdot C u \cdot (\sum (x, 1, K, ({(\frac{n}{K})}^{2}) \cdot ({(V 1)}^{2})))

Next Step Substitute values of Variables

∴

E tot = (\frac{1}{2}) \cdot 6F \cdot (\sum (x, 1, 2, ({(\frac{2}{2})}^{2}) \cdot ({(2.5V)}^{2})))

Next Step Prepare to Evaluate

∴

E tot = (\frac{1}{2}) \cdot 6 \cdot (\sum (x, 1, 2, ({(\frac{2}{2})}^{2}) \cdot ({(2.5)}^{2})))

LAST Step Evaluate

∴

E tot = 37.5J

Energy Stored in all Unit Capacitances Formula Elements

Variables

Functions

Energy Stored in All Unit Capacitances

Energy Stored in All Unit Capacitances is the total energy of the unit capacitors which are connected by the interwinding.

Symbol: E_tot

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy Stored in All Unit Capacitances

Value of Unit capacitance

Value of Unit capacitance is the value of the fringe capacitors which are connected in parallel with the inductor of the circuit model of inductor's distributed capacitance.

Symbol: C_u

Measurement: CapacitanceUnit: F

Note: Value can be positive or negative.

Formulas to find Value of Unit capacitance

Number of Inductors

Number of Inductors which are connected in the circuit model of inductor's distributed capacitance.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Inductors

Value of Node N

Value of Node N is the at which the voltage across the capacitance is calculated for the circuit model of inductor's distributed capacitance.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Value of Node N

Input Voltage

Input Voltage is the required voltage to be given for the circuit model of an inductor’s distributed capacitance.

Symbol: V₁

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Input Voltage

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 Energy Stored in all Unit Capacitances?

Energy Stored in all Unit Capacitances evaluator uses Energy Stored in All Unit Capacitances = (1/2)*Value of Unit capacitance*(sum(x,1,Number of Inductors,((Value of Node N/Number of Inductors)^2)*((Input Voltage)^2))) to evaluate the Energy Stored in All Unit Capacitances, The Energy Stored in all Unit Capacitances formula is defined as the energy stored by the capacitors which are connected in parallel with inductors of the circuit model of inductor's distributed capacitance. Energy Stored in All Unit Capacitances is denoted by E_tot symbol.

How to evaluate Energy Stored in all Unit Capacitances using this online evaluator? To use this online evaluator for Energy Stored in all Unit Capacitances, enter Value of Unit capacitance (C_u), Number of Inductors (K), Value of Node N (n) & Input Voltage (V₁) and hit the calculate button.

FAQs on Energy Stored in all Unit Capacitances

What is the formula to find Energy Stored in all Unit Capacitances?

The formula of Energy Stored in all Unit Capacitances is expressed as Energy Stored in All Unit Capacitances = (1/2)*Value of Unit capacitance*(sum(x,1,Number of Inductors,((Value of Node N/Number of Inductors)^2)*((Input Voltage)^2))). Here is an example- 37.5 = (1/2)*6*(sum(x,1,2,((2/2)^2)*((2.5)^2))).

How to calculate Energy Stored in all Unit Capacitances?

With Value of Unit capacitance (C_u), Number of Inductors (K), Value of Node N (n) & Input Voltage (V₁) we can find Energy Stored in all Unit Capacitances using the formula - Energy Stored in All Unit Capacitances = (1/2)*Value of Unit capacitance*(sum(x,1,Number of Inductors,((Value of Node N/Number of Inductors)^2)*((Input Voltage)^2))). This formula also uses Summation Notation Function function(s).

Can the Energy Stored in all Unit Capacitances be negative?

Yes, the Energy Stored in all Unit Capacitances, measured in Energy can be negative.

Which unit is used to measure Energy Stored in all Unit Capacitances?

Energy Stored in all Unit Capacitances is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Energy Stored in all Unit Capacitances can be measured.

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Energy Stored in all Unit Capacitances Formula

Energy Stored in all Unit Capacitances Example

Energy Stored in all Unit Capacitances Solution

Energy Stored in all Unit Capacitances Formula Elements

Other formulas in RF Microelectronics category

How to Evaluate Energy Stored in all Unit Capacitances?

FAQs on Energy Stored in all Unit Capacitances

Variable Name