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Maximum power output of cell Formula

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Maximum Power Output of cell is defined as the bias potential at which the solar cell outputs the maximum net power. Check FAQs

P m = (\frac{\frac{[Charge-e] \cdot {V m}^{2}}{[BoltZ] \cdot T}}{1 + \frac{[Charge-e] \cdot V m}{[BoltZ] \cdot T}}) \cdot (I sc + I o)

P_m - Maximum Power Output of Cell?V_m - Voltage at Maximum Power?T - Temperature in Kelvin?I_sc - Short Circuit Current in Solar cell?I_o - Reverse Saturation Current?[Charge-e] - Charge of electron?[BoltZ] - Boltzmann constant?[Charge-e] - Charge of electron?[BoltZ] - Boltzmann constant?

Maximum power output of cell Example

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Here is how the Maximum power output of cell equation looks like with Units.

Here is how the Maximum power output of cell equation looks like.

30.873 = (\frac{\frac{1.6E-19 \cdot {0.41}^{2}}{1.4E-23 \cdot 300}}{1 + \frac{1.6E-19 \cdot 0.41}{1.4E-23 \cdot 300}}) \cdot (80 + 0.048)

30.873W = (\frac{\frac{1.6E-19C \cdot {0.41V}^{2}}{1.4E-23J/K \cdot 300K}}{1 + \frac{1.6E-19C \cdot 0.41V}{1.4E-23J/K \cdot 300K}}) \cdot (80A + 0.048A)

30.873 = (\frac{\frac{1.6E-19 \cdot {0.41}^{2}}{1.4E-23 \cdot 300}}{1 + \frac{1.6E-19 \cdot 0.41}{1.4E-23 \cdot 300}}) \cdot (80 + 0.048)

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Maximum power output of cell Solution

Follow our step by step solution on how to calculate Maximum power output of cell?

FIRST Step Consider the formula

P m = (\frac{\frac{[Charge-e] \cdot {V m}^{2}}{[BoltZ] \cdot T}}{1 + \frac{[Charge-e] \cdot V m}{[BoltZ] \cdot T}}) \cdot (I sc + I o)

Next Step Substitute values of Variables

∴

P m = (\frac{\frac{[Charge-e] \cdot {0.41V}^{2}}{[BoltZ] \cdot 300K}}{1 + \frac{[Charge-e] \cdot 0.41V}{[BoltZ] \cdot 300K}}) \cdot (80A + 0.048A)

Next Step Substitute values of Constants

∴

P m = (\frac{\frac{1.6E-19C \cdot {0.41V}^{2}}{1.4E-23J/K \cdot 300K}}{1 + \frac{1.6E-19C \cdot 0.41V}{1.4E-23J/K \cdot 300K}}) \cdot (80A + 0.048A)

Next Step Prepare to Evaluate

∴

P m = (\frac{\frac{1.6E-19 \cdot {0.41}^{2}}{1.4E-23 \cdot 300}}{1 + \frac{1.6E-19 \cdot 0.41}{1.4E-23 \cdot 300}}) \cdot (80 + 0.048)

Next Step Evaluate

∴

P m = 30.8730235885093W

LAST Step Rounding Answer

∴

P m = 30.873W

Maximum power output of cell Formula Elements

Variables

Constants

Maximum Power Output of Cell

Maximum Power Output of cell is defined as the bias potential at which the solar cell outputs the maximum net power.

Symbol: P_m

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Maximum Power Output of Cell

Voltage at Maximum Power

Voltage at Maximum Power is the voltage at which maximum power occurs.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Voltage at Maximum Power

Temperature in Kelvin

Temperature in Kelvin is the temperature (degree or intensity of heat present in a substance or object) of a body or substance measured in Kelvin.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature in Kelvin

Short Circuit Current in Solar cell

Short Circuit Current in Solar Cell is the current through the solar cell when the voltage across the solar cell is zero.

Symbol: I_sc

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Short Circuit Current in Solar cell

Reverse Saturation Current

Reverse Saturation Current is caused by the diffusion of minority carriers from the neutral regions to the depletion region in a semiconductor diode.

Symbol: I_o

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Reverse Saturation Current

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Other formulas in Photovoltaic Conversion category

Go Fill Factor of Cell

FF = \frac{I m \cdot V m}{I sc \cdot V oc}

Go Voltage given Fill Factor of Cell

V m = \frac{FF \cdot I sc \cdot V oc}{I m}

Go Short Circuit Current given Fill Factor of Cell

I sc = \frac{I m \cdot V m}{V oc \cdot FF}

Go Load current in Solar cell

I = I sc - (I o \cdot (e^{\frac{[Charge-e] \cdot V}{m \cdot [BoltZ] \cdot T}} - 1))

How to Evaluate Maximum power output of cell?

Maximum power output of cell evaluator uses Maximum Power Output of Cell = ((([Charge-e]*Voltage at Maximum Power^2)/([BoltZ]*Temperature in Kelvin))/(1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin)))*(Short Circuit Current in Solar cell+Reverse Saturation Current) to evaluate the Maximum Power Output of Cell, Maximum power output of cell formula is defined as the maximum power that a photovoltaic cell can produce, which is a critical parameter in evaluating the performance of a photovoltaic system, and is influenced by various factors such as temperature, voltage, and current. Maximum Power Output of Cell is denoted by P_m symbol.

How to evaluate Maximum power output of cell using this online evaluator? To use this online evaluator for Maximum power output of cell, enter Voltage at Maximum Power (V_m), Temperature in Kelvin (T), Short Circuit Current in Solar cell (I_sc) & Reverse Saturation Current (I_o) and hit the calculate button.

FAQs on Maximum power output of cell

What is the formula to find Maximum power output of cell?

The formula of Maximum power output of cell is expressed as Maximum Power Output of Cell = ((([Charge-e]*Voltage at Maximum Power^2)/([BoltZ]*Temperature in Kelvin))/(1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin)))*(Short Circuit Current in Solar cell+Reverse Saturation Current). Here is an example- 30.87302 = ((([Charge-e]*0.41^2)/([BoltZ]*300))/(1+([Charge-e]*0.41)/([BoltZ]*300)))*(80+0.048).

How to calculate Maximum power output of cell?

With Voltage at Maximum Power (V_m), Temperature in Kelvin (T), Short Circuit Current in Solar cell (I_sc) & Reverse Saturation Current (I_o) we can find Maximum power output of cell using the formula - Maximum Power Output of Cell = ((([Charge-e]*Voltage at Maximum Power^2)/([BoltZ]*Temperature in Kelvin))/(1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin)))*(Short Circuit Current in Solar cell+Reverse Saturation Current). This formula also uses Charge of electron, Boltzmann constant, Charge of electron, Boltzmann constant .

Can the Maximum power output of cell be negative?

No, the Maximum power output of cell, measured in Power cannot be negative.

Which unit is used to measure Maximum power output of cell?

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

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Maximum power output of cell Formula

Maximum power output of cell Example

Maximum power output of cell Solution

Maximum power output of cell Formula Elements

Other formulas in Photovoltaic Conversion category

How to Evaluate Maximum power output of cell?

FAQs on Maximum power output of cell

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