Resistance of Rectangular Parallelepiped Calculator

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✖Resistivity is defined as the resistance offered to current flow by a conductor of unit length having unit area of cross-section.ⓘ Resistivity [ρ]			+10% -10%
✖Thickness of Layer is often used for manufacturing casted parts to ensure that wall structure is designed with just the right amount of material.ⓘ Thickness of Layer [t]			+10% -10%
✖Width of Diffused Layer is the horizontal distance measured from side to side of a specific media type.ⓘ Width of Diffused Layer [W]			+10% -10%
✖Length of Diffused Layer is the measured distance from one end to the other of the longer or longest side of an object.ⓘ Length of Diffused Layer [L]			+10% -10%
✖Width of Bottom Rectangle is often used to describe the shorter side of rectangle.ⓘ Width of Bottom Rectangle [a]			+10% -10%
✖Length of Bottom Rectangle is often used to describe the longer side of the rectangle.ⓘ Length of Bottom Rectangle [b]			+10% -10%

✖Resistance is the property of a material that restricts the flow of electric current.ⓘ Resistance of Rectangular Parallelepiped [R]

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Formula

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Resistance of Rectangular Parallelepiped

Formula

`"R" = (("ρ"*"t")/("W"*"L"))*(ln("a"/"b")/("a"-"b"))`

Example

`"0.731302Ω"=(("0.062Ω*cm"*"100.5cm")/("4cm"*"25cm"))*(ln("14cm"/"4.7cm")/("14cm"-"4.7cm"))`

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Resistance of Rectangular Parallelepiped Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resistance = ((Resistivity*Thickness of Layer)/(Width of Diffused Layer*Length of Diffused Layer))*(ln(Width of Bottom Rectangle/Length of Bottom Rectangle)/(Width of Bottom Rectangle-Length of Bottom Rectangle))
R = ((ρ*t)/(W*L))*(ln(a/b)/(a-b))
This formula uses 1 Functions, 7 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Resistance - (Measured in Ohm) - Resistance is the property of a material that restricts the flow of electric current.
Resistivity - (Measured in Ohm Meter) - Resistivity is defined as the resistance offered to current flow by a conductor of unit length having unit area of cross-section.
Thickness of Layer - (Measured in Meter) - Thickness of Layer is often used for manufacturing casted parts to ensure that wall structure is designed with just the right amount of material.
Width of Diffused Layer - (Measured in Meter) - Width of Diffused Layer is the horizontal distance measured from side to side of a specific media type.
Length of Diffused Layer - (Measured in Meter) - Length of Diffused Layer is the measured distance from one end to the other of the longer or longest side of an object.
Width of Bottom Rectangle - (Measured in Meter) - Width of Bottom Rectangle is often used to describe the shorter side of rectangle.
Length of Bottom Rectangle - (Measured in Meter) - Length of Bottom Rectangle is often used to describe the longer side of the rectangle.

STEP 1: Convert Input(s) to Base Unit

Resistivity: 0.062 Ohm Centimeter --> 0.00062 Ohm Meter (Check conversion here)
Thickness of Layer: 100.5 Centimeter --> 1.005 Meter (Check conversion here)
Width of Diffused Layer: 4 Centimeter --> 0.04 Meter (Check conversion here)
Length of Diffused Layer: 25 Centimeter --> 0.25 Meter (Check conversion here)
Width of Bottom Rectangle: 14 Centimeter --> 0.14 Meter (Check conversion here)
Length of Bottom Rectangle: 4.7 Centimeter --> 0.047 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = ((ρ*t)/(W*L))*(ln(a/b)/(a-b)) --> ((0.00062*1.005)/(0.04*0.25))*(ln(0.14/0.047)/(0.14-0.047))

Evaluating ... ...

R = 0.731301530002495

STEP 3: Convert Result to Output's Unit

0.731301530002495 Ohm --> No Conversion Required

FINAL ANSWER

0.731301530002495 ≈ 0.731302 Ohm <-- Resistance

(Calculation completed in 00.004 seconds)

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Created by Rahul Gupta

Chandigarh University (CU), Mohali, Punjab

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Vellore Institute of Technology (VIT Vellore), Vellore

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< 19 Bipolar IC Fabrication Calculators

Resistance of Rectangular Parallelepiped

Go Resistance = ((Resistivity*Thickness of Layer)/(Width of Diffused Layer*Length of Diffused Layer))*(ln(Width of Bottom Rectangle/Length of Bottom Rectangle)/(Width of Bottom Rectangle-Length of Bottom Rectangle))

Impurity Atoms Per Unit Area

Go Total Impurity = Effective Diffusion*(Emitter Base Junction Area*((Charge*Intrinsic Concentration^2)/Collector Current)*exp(Voltage Base Emitter/Thermal Voltage))

Conductivity of N-Type

Go Ohmic Conductivity = Charge*(Electron Doping Silicon Mobility*Equilibrium Concentration of N-Type+Hole Doping Silicon Mobility*(Intrinsic Concentration^2/Equilibrium Concentration of N-Type))

Conductivity of P-Type

Go Ohmic Conductivity = Charge*(Electron Doping Silicon Mobility*(Intrinsic Concentration^2/Equilibrium Concentration of P-Type)+Hole Doping Silicon Mobility*Equilibrium Concentration of P-Type)

Ohmic Conductivity of Impurity

Go Ohmic Conductivity = Charge*(Electron Doping Silicon Mobility*Electron Concentration+Hole Doping Silicon Mobility*Hole Concentration)

Gate Source Capacitance Given Overlap Capacitance

Go Gate Source Capacitance = (2/3*Transistor's Width*Transistor's Length*Oxide Capacitance)+(Transistor's Width*Overlap Capacitance)

Collector-Current of PNP Transistor

Go Collector Current = (Charge*Emitter Base Junction Area*Equilibrium Concentration of N-Type*Diffusion Constant For PNP)/Base Width

Saturation Current in Transistor

Go Saturation Current = (Charge*Emitter Base Junction Area*Effective Diffusion*Intrinsic Concentration^2)/Total Impurity

Capacitive Load Power Consumption given Supply Voltage

Go Capacitive Load Power Consumption = Load Capacitance*Supply Voltage^2*Output Signal Frequency*Total Number of Outputs Switching

Sheet Resistance of Layer

Go Sheet Resistance = 1/(Charge*Electron Doping Silicon Mobility*Equilibrium Concentration of N-Type*Thickness of Layer)

Resistance of Diffused Layer

Go Resistance = (1/Ohmic Conductivity)*(Length of Diffused Layer/(Width of Diffused Layer*Thickness of Layer))

Current Density Hole

Go Hole Current Density = Charge*Diffusion Constant For PNP*(Hole Equilibrium Concentration/Base Width)

Impurity with Intrinsic Concentration

Go Intrinsic Concentration = sqrt((Electron Concentration*Hole Concentration)/Temperature Impurity)

Emitter Injection Efficiency

Go Emmitter Injection Efficiency = Emitter Current/(Emitter Current due to Electrons+Emitter Current due to Holes)

Breakout Voltage of Collector Emitter

Go Collector Emitter Breakout Voltage = Collector Base Breakout Voltage/(Current Gain of BJT)^(1/Root Number)

Emitter Injection Efficiency given Doping Constants

Go Emmitter Injection Efficiency = Doping on N-side/(Doping on N-side+Doping on P-side)

Current Flowing in Zener Diode

Go Diode Current = (Input Reference Voltage-Stable Output Voltage)/Zener Resistance

Voltage to Frequency Conversion Factor in ICs

Go Voltage to Frequency Conversion Factor in ICs = Output Signal Frequency/Input Voltage

Base Transport Factor given Base Width

Go Base Transport Factor = 1-(1/2*(Physical Width/Electron Diffusion Length)^2)

Resistance of Rectangular Parallelepiped Formula

How does the material impact the resistance of the parallelepiped?

Different materials have different resistivities. For instance, copper has low resistivity, so a copper parallelepiped will have lower resistance compared to, say, an identical parallelepiped made of a material with higher resistivity, like rubber or glass.

How to Calculate Resistance of Rectangular Parallelepiped?

Resistance of Rectangular Parallelepiped calculator uses Resistance = ((Resistivity*Thickness of Layer)/(Width of Diffused Layer*Length of Diffused Layer))*(ln(Width of Bottom Rectangle/Length of Bottom Rectangle)/(Width of Bottom Rectangle-Length of Bottom Rectangle)) to calculate the Resistance, The Resistance of Rectangular Parallelepiped formula is defined as the electrical resistance of a material is a measure of its opposition to the flow of an electric current. For a rectangular parallelepiped-shaped material, the resistance depends on its dimensions, the material it's made of, and its intrinsic resistivity. Resistance is denoted by R symbol.

How to calculate Resistance of Rectangular Parallelepiped using this online calculator? To use this online calculator for Resistance of Rectangular Parallelepiped, enter Resistivity (ρ), Thickness of Layer (t), Width of Diffused Layer (W), Length of Diffused Layer (L), Width of Bottom Rectangle (a) & Length of Bottom Rectangle (b) and hit the calculate button. Here is how the Resistance of Rectangular Parallelepiped calculation can be explained with given input values -> 0.731302 = ((0.00062*1.005)/(0.04*0.25))*(ln(0.14/0.047)/(0.14-0.047)).

FAQ

What is Resistance of Rectangular Parallelepiped?

The Resistance of Rectangular Parallelepiped formula is defined as the electrical resistance of a material is a measure of its opposition to the flow of an electric current. For a rectangular parallelepiped-shaped material, the resistance depends on its dimensions, the material it's made of, and its intrinsic resistivity and is represented as R = ((ρ*t)/(W*L))*(ln(a/b)/(a-b)) or Resistance = ((Resistivity*Thickness of Layer)/(Width of Diffused Layer*Length of Diffused Layer))*(ln(Width of Bottom Rectangle/Length of Bottom Rectangle)/(Width of Bottom Rectangle-Length of Bottom Rectangle)). Resistivity is defined as the resistance offered to current flow by a conductor of unit length having unit area of cross-section, Thickness of Layer is often used for manufacturing casted parts to ensure that wall structure is designed with just the right amount of material, Width of Diffused Layer is the horizontal distance measured from side to side of a specific media type, Length of Diffused Layer is the measured distance from one end to the other of the longer or longest side of an object, Width of Bottom Rectangle is often used to describe the shorter side of rectangle & Length of Bottom Rectangle is often used to describe the longer side of the rectangle.

How to calculate Resistance of Rectangular Parallelepiped?

The Resistance of Rectangular Parallelepiped formula is defined as the electrical resistance of a material is a measure of its opposition to the flow of an electric current. For a rectangular parallelepiped-shaped material, the resistance depends on its dimensions, the material it's made of, and its intrinsic resistivity is calculated using Resistance = ((Resistivity*Thickness of Layer)/(Width of Diffused Layer*Length of Diffused Layer))*(ln(Width of Bottom Rectangle/Length of Bottom Rectangle)/(Width of Bottom Rectangle-Length of Bottom Rectangle)). To calculate Resistance of Rectangular Parallelepiped, you need Resistivity (ρ), Thickness of Layer (t), Width of Diffused Layer (W), Length of Diffused Layer (L), Width of Bottom Rectangle (a) & Length of Bottom Rectangle (b). With our tool, you need to enter the respective value for Resistivity, Thickness of Layer, Width of Diffused Layer, Length of Diffused Layer, Width of Bottom Rectangle & Length of Bottom Rectangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Resistance?

In this formula, Resistance uses Resistivity, Thickness of Layer, Width of Diffused Layer, Length of Diffused Layer, Width of Bottom Rectangle & Length of Bottom Rectangle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Resistance = (1/Ohmic Conductivity)*(Length of Diffused Layer/(Width of Diffused Layer*Thickness of Layer))

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