Total Power Lost in Spiral Calculator

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Low Noise Amplifier

✖Number of Inductors which are connected in the circuit model of inductor's distributed capacitance.ⓘ Number of Inductors [K]			+10% -10%
✖Corresponding RC Branch Current refers to the current flowing through the corresponding RC branch.ⓘ Corresponding RC Branch Current [I_u,n]			+10% -10%
✖Substrate Resistance refers to the inherent resistance present in the semiconductor substrate material.ⓘ Substrate Resistance [KR_s]			+10% -10%

✖Total Power Lost in Spiral can be calculated based on factors such as the resistance of the spiral, the current flowing through it, and the voltage across it.ⓘ Total Power Lost in Spiral [P_tot]

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Formula

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Total Power Lost in Spiral

Formula

`"P"_{"tot"} = sum(x,1,"K",(("I"_{"u,n"})^2)*"KR"_{"s"})`

Example

`"160W"=sum(x,1,"2",(("4A")^2)*"5Ω")`

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Total Power Lost in Spiral Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Power Lost in Spiral = sum(x,1,Number of Inductors,((Corresponding RC Branch Current)^2)*Substrate Resistance)
P_tot = sum(x,1,K,((I_u,n)^2)*KR_s)
This formula uses 1 Functions, 4 Variables

Functions Used

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

Variables Used

Total Power Lost in Spiral - (Measured in Watt) - Total Power Lost in Spiral can be calculated based on factors such as the resistance of the spiral, the current flowing through it, and the voltage across it.
Number of Inductors - Number of Inductors which are connected in the circuit model of inductor's distributed capacitance.
Corresponding RC Branch Current - (Measured in Ampere) - Corresponding RC Branch Current refers to the current flowing through the corresponding RC branch.
Substrate Resistance - (Measured in Ohm) - Substrate Resistance refers to the inherent resistance present in the semiconductor substrate material.

STEP 1: Convert Input(s) to Base Unit

Number of Inductors: 2 --> No Conversion Required
Corresponding RC Branch Current: 4 Ampere --> 4 Ampere No Conversion Required
Substrate Resistance: 5 Ohm --> 5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_tot = sum(x,1,K,((I_u,n)^2)*KR_s) --> sum(x,1,2,((4)^2)*5)

Evaluating ... ...

P_tot = 160

STEP 3: Convert Result to Output's Unit

160 Watt --> No Conversion Required

FINAL ANSWER

160 Watt <-- Total Power Lost in Spiral

(Calculation completed in 00.004 seconds)

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Credits

Created by Zaheer Sheik

Seshadri Rao Gudlavalleru Engineering College (SRGEC), Gudlavalleru

Zaheer Sheik has created this Calculator and 10+ more calculators!

Verified by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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< 18 RF Microelectronics Calculators

Energy Stored in all Unit Capacitances

Go 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)))

Equivalent Capacitance for n Stacked Spirals

Go 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))

Total Noise Power Introduced by Interferer

Go Total Noise Power of Interferer = int(Broadened Spectrum of Interferer*x,x,Lower End of the Desired Channel,Higher End of the Desired Channel)

Feedback Factor of Low Noise Amplifier

Go Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain)

Return Loss of Low-Noise Amplifier

Go Return Loss = modulus((Input Impedance-Source Impedance)/(Input Impedance+Source Impedance))^2

Total Power Lost in Spiral

Go Total Power Lost in Spiral = sum(x,1,Number of Inductors,((Corresponding RC Branch Current)^2)*Substrate Resistance)

Noise Figure of Low Noise Amplifier

Go Noise Figure = 1+((4*Source Impedance)/Feedback Resistance)+Noise Factor of Transistor

Gate to Source Voltage of Low Noise Amplifier

Go Gate to Source Voltage = ((2*Drain Current)/(Transconductance))+Threshold Voltage

Threshold Voltage of Low Noise Amplifier

Go Threshold Voltage = Gate to Source Voltage-(2*Drain Current)/(Transconductance)

Transconductance of Low Noise Amplifier

Go Transconductance = (2*Drain Current)/(Gate to Source Voltage-Threshold Voltage)

Drain Current of Low Noise Amplifier

Go Drain Current = (Transconductance*(Gate to Source Voltage-Threshold Voltage))/2

Voltage Gain of Low Noise Amplifier given DC Voltage Drop

Go Voltage Gain = 2*DC Voltage Drop/(Gate to Source Voltage-Threshold Voltage)

Load Impedance of Low Noise Amplifier

Go Load Impedance = (Input Impedance-(1/Transconductance))/Feedback Factor

Input Impedance of Low Noise Amplifier

Go Input Impedance = (1/Transconductance)+Feedback Factor*Load Impedance

Output Impedance of Low Noise Amplifier

Go Output Impedance = (1/2)*(Feedback Resistance+Source Impedance)

Source Impedance of Low Noise Amplifier

Go Source Impedance = 2*Output Impedance-Feedback Resistance

Drain Resistance of Low Noise Amplifier

Go Drain Resistance = Voltage Gain/Transconductance

Voltage Gain of Low Noise Amplifier

Go Voltage Gain = Transconductance*Drain Resistance

Total Power Lost in Spiral Formula

Total Power Lost in Spiral = sum(x,1,Number of Inductors,((Corresponding RC Branch Current)^2)*Substrate Resistance)
P_tot = sum(x,1,K,((I_u,n)^2)*KR_s)

What is the purpose of calculating the Total Power Lost in Spiral?

Calculating the distributed model of a spiral inductor to estimate power loss in the substrate is essential for accurate performance analysis, optimization, and ensuring the reliability of integrated circuits, particularly in high-frequency and high-performance applications.

How to Calculate Total Power Lost in Spiral?

Total Power Lost in Spiral calculator uses Total Power Lost in Spiral = sum(x,1,Number of Inductors,((Corresponding RC Branch Current)^2)*Substrate Resistance) to calculate the Total Power Lost in Spiral, The Total Power Lost in Spiral formula is defined as the sum of the power dissipated in all substrate resistors in the circuit such that current flowing through the respective branch is considered when calculating the total power lost in the spiral. Total Power Lost in Spiral is denoted by P_tot symbol.

How to calculate Total Power Lost in Spiral using this online calculator? To use this online calculator for Total Power Lost in Spiral, enter Number of Inductors (K), Corresponding RC Branch Current (I_u,n) & Substrate Resistance (KR_s) and hit the calculate button. Here is how the Total Power Lost in Spiral calculation can be explained with given input values -> 160 = sum(x,1,2,((4)^2)*5).

FAQ

What is Total Power Lost in Spiral?

The Total Power Lost in Spiral formula is defined as the sum of the power dissipated in all substrate resistors in the circuit such that current flowing through the respective branch is considered when calculating the total power lost in the spiral and is represented as P_tot = sum(x,1,K,((I_u,n)^2)*KR_s) or Total Power Lost in Spiral = sum(x,1,Number of Inductors,((Corresponding RC Branch Current)^2)*Substrate Resistance). Number of Inductors which are connected in the circuit model of inductor's distributed capacitance, Corresponding RC Branch Current refers to the current flowing through the corresponding RC branch & Substrate Resistance refers to the inherent resistance present in the semiconductor substrate material.

How to calculate Total Power Lost in Spiral?

The Total Power Lost in Spiral formula is defined as the sum of the power dissipated in all substrate resistors in the circuit such that current flowing through the respective branch is considered when calculating the total power lost in the spiral is calculated using Total Power Lost in Spiral = sum(x,1,Number of Inductors,((Corresponding RC Branch Current)^2)*Substrate Resistance). To calculate Total Power Lost in Spiral, you need Number of Inductors (K), Corresponding RC Branch Current (I_u,n) & Substrate Resistance (KR_s). With our tool, you need to enter the respective value for Number of Inductors, Corresponding RC Branch Current & Substrate 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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