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Maximum Power Transfer Formula

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Maximum Power is defined as the maximum power that can be transferred from the input of the circuit to its output. Check FAQs

P m = \frac{{V th}^{2} \cdot R L}{{(R L + R th)}^{2}}

P_m - Maximum Power?V_th - Thevenin Voltage?R_L - Load Resistance?R_th - Thevenin Resistance?

Maximum Power Transfer Example

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Here is how the Maximum Power Transfer equation looks like with Values.

Here is how the Maximum Power Transfer equation looks like with Units.

Here is how the Maximum Power Transfer equation looks like.

21.0868 = \frac{{27.6}^{2} \cdot 18}{{(18 + 7.5)}^{2}}

21.0868W = \frac{{27.6V}^{2} \cdot 18Ω}{{(18Ω + 7.5Ω)}^{2}}

21.0868 = \frac{{27.6}^{2} \cdot 18}{{(18 + 7.5)}^{2}}

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Maximum Power Transfer Solution

Follow our step by step solution on how to calculate Maximum Power Transfer?

FIRST Step Consider the formula

P m = \frac{{V th}^{2} \cdot R L}{{(R L + R th)}^{2}}

Next Step Substitute values of Variables

∴

P m = \frac{{27.6V}^{2} \cdot 18Ω}{{(18Ω + 7.5Ω)}^{2}}

Next Step Prepare to Evaluate

∴

P m = \frac{{27.6}^{2} \cdot 18}{{(18 + 7.5)}^{2}}

Next Step Evaluate

∴

P m = 21.0867820069204W

LAST Step Rounding Answer

∴

P m = 21.0868W

Maximum Power Transfer Formula Elements

Variables

Maximum Power

Maximum Power is defined as the maximum power that can be transferred from the input of the circuit to its output.

Symbol: P_m

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Maximum Power

Thevenin Voltage

Thevenin voltage defines the equivalent voltage using thenvenin's theorem.

Symbol: V_th

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Thevenin Voltage

Load Resistance

Load Resistance is defined as the opposition provided to the electric current but the load connected to the circuit.

Symbol: R_L

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Load Resistance

Thevenin Resistance

Thevenin resistance is the resistance measured at terminals AB with all voltage sources replaced by short circuits and all current sources replaced by open circuits.

Symbol: R_th

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Thevenin Resistance

Other formulas in DC Circuits category

Go Voltage in DC Circuit

V = I \cdot R

Go Star to Delta Transformation

Z 1 = Z A + Z B + (\frac{Z A \cdot Z B}{Z C})

Go Delta to Star Transformation

Z A = \frac{Z 1 \cdot Z 3}{Z 1 + Z 2 + Z 3}

Go Voltage Divider for Two Resistors

V R1 = V s \cdot (\frac{R 1}{R 1 + R 2})

How to Evaluate Maximum Power Transfer?

Maximum Power Transfer evaluator uses Maximum Power = (Thevenin Voltage^2*Load Resistance)/(Load Resistance+Thevenin Resistance)^2 to evaluate the Maximum Power, The Maximum Power Transfer formula is defined as the maximum power provided to a load when given a system with known internal resistances or impedances. Maximum Power is denoted by P_m symbol.

How to evaluate Maximum Power Transfer using this online evaluator? To use this online evaluator for Maximum Power Transfer, enter Thevenin Voltage (V_th), Load Resistance (R_L) & Thevenin Resistance (R_th) and hit the calculate button.

FAQs on Maximum Power Transfer

What is the formula to find Maximum Power Transfer?

The formula of Maximum Power Transfer is expressed as Maximum Power = (Thevenin Voltage^2*Load Resistance)/(Load Resistance+Thevenin Resistance)^2. Here is an example- 21.08678 = (27.6^2*18)/(18+7.5)^2.

How to calculate Maximum Power Transfer?

With Thevenin Voltage (V_th), Load Resistance (R_L) & Thevenin Resistance (R_th) we can find Maximum Power Transfer using the formula - Maximum Power = (Thevenin Voltage^2*Load Resistance)/(Load Resistance+Thevenin Resistance)^2.

Can the Maximum Power Transfer be negative?

Yes, the Maximum Power Transfer, measured in Power can be negative.

Which unit is used to measure Maximum Power Transfer?

Maximum Power Transfer is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Maximum Power Transfer can be measured.

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