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Thermal resistance for conduction through 2 resistances in parallel Formula

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GoTotal Thermal Resistance for Conduction through Two Resistances in Series Formula

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Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow. Check FAQs

R th = \frac{L h}{(k 1 \cdot A 1) + (k 2 \cdot A 2)}

R_th - Thermal Resistance?L_h - Length?k₁ - Thermal Conductivity 1?A₁ - Point 1 Cross-Sectional Area?k₂ - Thermal Conductivity 2?A₂ - Point 2 Cross-Sectional Area?

Thermal resistance for conduction through 2 resistances in parallel Example

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Here is how the Thermal resistance for conduction through 2 resistances in parallel equation looks like with Values.

Here is how the Thermal resistance for conduction through 2 resistances in parallel equation looks like with Units.

Here is how the Thermal resistance for conduction through 2 resistances in parallel equation looks like.

5 = \frac{40}{(0.4 \cdot 10) + (0.5 \cdot 8)}

5K/W = \frac{40m}{(0.4W/(m*K) \cdot 10m²) + (0.5W/(m*K) \cdot 8m²)}

5 = \frac{40}{(0.4 \cdot 10) + (0.5 \cdot 8)}

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Thermal resistance for conduction through 2 resistances in parallel Solution

Follow our step by step solution on how to calculate Thermal resistance for conduction through 2 resistances in parallel?

FIRST Step Consider the formula

R th = \frac{L h}{(k 1 \cdot A 1) + (k 2 \cdot A 2)}

Next Step Substitute values of Variables

∴

R th = \frac{40m}{(0.4W/(m*K) \cdot 10m²) + (0.5W/(m*K) \cdot 8m²)}

Next Step Prepare to Evaluate

∴

R th = \frac{40}{(0.4 \cdot 10) + (0.5 \cdot 8)}

LAST Step Evaluate

∴

R th = 5K/W

Thermal resistance for conduction through 2 resistances in parallel Formula Elements

Variables

Thermal Resistance

Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.

Symbol: R_th

Measurement: Thermal ResistanceUnit: K/W

Note: Value can be positive or negative.

Formulas to find Thermal Resistance

Open Variable

Length

Length is the measurement or extent of something from end to end.

Symbol: L_h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length

Open Variable

Thermal Conductivity 1

Thermal Conductivity 1 is the thermal conductivity of the first body.

Symbol: k₁

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity 1

Open Variable

Point 1 Cross-Sectional Area

Point 1 Cross-Sectional Area at is defined as the area of the section at point 1.

Symbol: A₁

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Point 1 Cross-Sectional Area

Open Variable

Thermal Conductivity 2

Thermal Conductivity 2 is the thermal conductivity of the second body.

Symbol: k₂

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity 2

Open Variable

Point 2 Cross-Sectional Area

Point 2 Cross-Sectional Area is defined as the area of the section at point 2.

Symbol: A₂

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Point 2 Cross-Sectional Area

Open Variable

Credits

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Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has created this Formula and 100+ more formulas!

Verifier Image

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Formula and 100+ more formulas!

Other Formulas to find Thermal Resistance

Go Total Thermal Resistance for Conduction through Two Resistances in Series

R th = R 1 + R 2

Other formulas in Fundamental of Heat Transfer category

Go Newton's Law of Cooling

q = h t \cdot (T w - T f)

Go Heat Flux

q = k o \cdot \frac{T}{l}

Go Heat Transfer

Q h = \frac{T vd}{R th}

Go Heat Transfer According to Fourier's Law

Q c = - (k \cdot A s \cdot \frac{ΔT}{L})

See More

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How to Evaluate Thermal resistance for conduction through 2 resistances in parallel?

Thermal resistance for conduction through 2 resistances in parallel evaluator uses Thermal Resistance = (Length)/((Thermal Conductivity 1*Point 1 Cross-Sectional Area)+(Thermal Conductivity 2*Point 2 Cross-Sectional Area)) to evaluate the Thermal Resistance, The Thermal resistance for conduction through 2 resistances in parallel formula is defined as equivalent thermal resistance for conduction through 2 thermal resistances in parallel, when length, thermal conductivity, and area of each resistance are known. Thermal Resistance is denoted by R_th symbol.

How to evaluate Thermal resistance for conduction through 2 resistances in parallel using this online evaluator? To use this online evaluator for Thermal resistance for conduction through 2 resistances in parallel, enter Length (L_h), Thermal Conductivity 1 (k₁), Point 1 Cross-Sectional Area (A₁), Thermal Conductivity 2 (k₂) & Point 2 Cross-Sectional Area (A₂) and hit the calculate button.

FAQs on Thermal resistance for conduction through 2 resistances in parallel

What is the formula to find Thermal resistance for conduction through 2 resistances in parallel?

The formula of Thermal resistance for conduction through 2 resistances in parallel is expressed as Thermal Resistance = (Length)/((Thermal Conductivity 1*Point 1 Cross-Sectional Area)+(Thermal Conductivity 2*Point 2 Cross-Sectional Area)). Here is an example- 5 = (40)/((0.4*10)+(0.5*8)).

How to calculate Thermal resistance for conduction through 2 resistances in parallel?

With Length (L_h), Thermal Conductivity 1 (k₁), Point 1 Cross-Sectional Area (A₁), Thermal Conductivity 2 (k₂) & Point 2 Cross-Sectional Area (A₂) we can find Thermal resistance for conduction through 2 resistances in parallel using the formula - Thermal Resistance = (Length)/((Thermal Conductivity 1*Point 1 Cross-Sectional Area)+(Thermal Conductivity 2*Point 2 Cross-Sectional Area)).

What are the other ways to Calculate Thermal Resistance?

Here are the different ways to Calculate Thermal Resistance-

Thermal Resistance=Thermal Resistance 1+Thermal Resistance 2

Can the Thermal resistance for conduction through 2 resistances in parallel be negative?

Yes, the Thermal resistance for conduction through 2 resistances in parallel, measured in Thermal Resistance can be negative.

Which unit is used to measure Thermal resistance for conduction through 2 resistances in parallel?

Thermal resistance for conduction through 2 resistances in parallel is usually measured using the Kelvin per Watt[K/W] for Thermal Resistance. Degree Fahrenheit hour per Btu (IT)[K/W], Degree Fahrenheit Hour per Btu (th)[K/W], Kelvin per Milliwatt[K/W] are the few other units in which Thermal resistance for conduction through 2 resistances in parallel can be measured.

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