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Total Power Lost in Spiral Calculator

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✖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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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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Created by Zaheer Sheik

Seshadri Rao Gudlavalleru Engineering College (SRGEC), Gudlavalleru

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< RF Microelectronics Calculators

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Total Power Lost in Spiral Formula

LaTeX Go

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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