Open Circuit Voltage given Reverse Saturation Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Open Circuit Voltage = (([BoltZ]*Temperature in Kelvin)/[Charge-e])*(ln((Short Circuit Current in Solar cell/Reverse Saturation Current)+1))
Voc = (([BoltZ]*T)/[Charge-e])*(ln((Isc/Io)+1))
This formula uses 2 Constants, 1 Functions, 4 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
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
Open Circuit Voltage - (Measured in Volt) - Open Circuit Voltage is the difference of electrical potential between two terminals of a device when disconnected from any circuit. There is no external load connected.
Temperature in Kelvin - (Measured 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.
Short Circuit Current in Solar cell - (Measured in Ampere) - Short Circuit Current in Solar Cell is the current through the solar cell when the voltage across the solar cell is zero.
Reverse Saturation Current - (Measured in Ampere) - Reverse Saturation Current is caused by the diffusion of minority carriers from the neutral regions to the depletion region in a semiconductor diode.
STEP 1: Convert Input(s) to Base Unit
Temperature in Kelvin: 300 Kelvin --> 300 Kelvin No Conversion Required
Short Circuit Current in Solar cell: 80 Ampere --> 80 Ampere No Conversion Required
Reverse Saturation Current: 4E-06 Ampere --> 4E-06 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Voc = (([BoltZ]*T)/[Charge-e])*(ln((Isc/Io)+1)) --> (([BoltZ]*300)/[Charge-e])*(ln((80/4E-06)+1))
Evaluating ... ...
Voc = 0.43460410008471
STEP 3: Convert Result to Output's Unit
0.43460410008471 Volt --> No Conversion Required
FINAL ANSWER
0.43460410008471 โ‰ˆ 0.434604 Volt <-- Open Circuit Voltage
(Calculation completed in 00.020 seconds)

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20 Photovoltaic Conversion Calculators

Reverse Saturation Current given Maximum Power of Cell
Go Reverse Saturation Current = (Maximum Power Output of cell*((1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))/(([Charge-e]*Voltage at Maximum Power^2)/([BoltZ]*Temperature in Kelvin))))-Short Circuit Current in Solar cell
Short Circuit Current given Maximum Power of Cell
Go Short Circuit Current in Solar cell = (Maximum Power Output of cell*((1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))/(([Charge-e]*Voltage at Maximum Power^2)/([BoltZ]*Temperature in Kelvin))))-Reverse Saturation Current
Maximum power output of cell
Go 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)
Load current corresponding to Maximum power
Go Load Current in Solar cell = ((([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))/(1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin)))*(Short Circuit Current in Solar cell+Reverse Saturation Current)
Short Circuit Current given Load Current at Maximum Power
Go Short Circuit Current in Solar cell = (Current at Maximum Power*((1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))/(([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))))-Reverse Saturation Current
Reverse Saturation Current given Load current at Maximum Power
Go Reverse Saturation Current = (Maximum Current flow*((1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))/(([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))))-Short Circuit Current in Solar cell
Short Circuit Current given Load Current and Reverse Saturation Current
Go Short Circuit Current in Solar cell = Load Current in Solar cell+(Reverse Saturation Current*(e^(([Charge-e]*Voltage in solar cell)/(Ideality Factor in Solar Cells*[BoltZ]*Temperature in Kelvin))-1))
Reverse Saturation Current given Load Current and Short Circuit Current
Go Reverse Saturation Current = (Short Circuit Current in Solar cell-Load Current in Solar cell)/(e^(([Charge-e]*Voltage in solar cell)/(Ideality Factor in Solar Cells*[BoltZ]*Temperature in Kelvin))-1)
Load current in Solar cell
Go Load Current in Solar cell = Short Circuit Current in Solar cell-(Reverse Saturation Current*(e^(([Charge-e]*Voltage in solar cell)/(Ideality Factor in Solar Cells*[BoltZ]*Temperature in Kelvin))-1))
Reverse Saturation Current given Power of Photovoltaic Cell
Go Reverse Saturation Current = (Short Circuit Current in Solar cell-(Power of Photovoltaic cell/Voltage in solar cell))*(1/(e^(([Charge-e]*Voltage in solar cell)/([BoltZ]*Temperature in Kelvin))-1))
Short Circuit Current given Power of Photovoltaic Cell
Go Short Circuit Current in Solar cell = (Power of Photovoltaic cell/Voltage in solar cell)+(Reverse Saturation Current*(e^(([Charge-e]*Voltage in solar cell)/([BoltZ]*Temperature in Kelvin))-1))
Power of Photovoltaic cell
Go Power of Photovoltaic cell = (Short Circuit Current in Solar cell- (Reverse Saturation Current*(e^(([Charge-e]*Voltage in solar cell)/([BoltZ]*Temperature in Kelvin))-1)))*Voltage in solar cell
Open Circuit Voltage given Reverse Saturation Current
Go Open Circuit Voltage = (([BoltZ]*Temperature in Kelvin)/[Charge-e])*(ln((Short Circuit Current in Solar cell/Reverse Saturation Current)+1))
Fill Factor of Solar Cell given Maximum Conversion Efficiency
Go Fill Factor of Solar Cell = (Maximum Conversion Efficiency*Flux Incident on Top Cover*Area of Solar Cell)/(Short Circuit Current in Solar cell*Open Circuit Voltage)
Short Circuit Current given Maximum Conversion Efficiency
Go Short Circuit Current in Solar cell = (Maximum Conversion Efficiency*Flux Incident on Top Cover*Area of Solar Cell)/(Fill Factor of Solar Cell*Open Circuit Voltage)
Short Circuit Current given Fill Factor of Cell
Go Short Circuit Current in Solar cell = (Current at Maximum Power*Voltage at Maximum Power)/(Open Circuit Voltage*Fill Factor of Solar Cell)
Fill Factor of Cell
Go Fill Factor of Solar Cell = (Current at Maximum Power*Voltage at Maximum Power)/(Short Circuit Current in Solar cell*Open Circuit Voltage)
Voltage given Fill Factor of Cell
Go Voltage at Maximum Power = (Fill Factor of Solar Cell*Short Circuit Current in Solar cell*Open Circuit Voltage)/Current at Maximum Power
Incident Solar Flux given Maximum Conversion Efficiency
Go Flux Incident on Top Cover = (Current at Maximum Power*Voltage at Maximum Power)/(Maximum Conversion Efficiency*Area of Solar Cell)
Maximum Conversion Efficiency
Go Maximum Conversion Efficiency = (Current at Maximum Power*Voltage at Maximum Power)/(Flux Incident on Top Cover*Area of Solar Cell)

Open Circuit Voltage given Reverse Saturation Current Formula

Open Circuit Voltage = (([BoltZ]*Temperature in Kelvin)/[Charge-e])*(ln((Short Circuit Current in Solar cell/Reverse Saturation Current)+1))
Voc = (([BoltZ]*T)/[Charge-e])*(ln((Isc/Io)+1))

What does reverse saturation current depend on?

In a PN junction diode, the reverse saturation current is due to the diffusive flow of minority electrons from the p-side to the n-side and the minority holes from the n-side to the p-side. Hence, the reverse saturation current depends on the diffusion coefficient of electrons and holes.

How to Calculate Open Circuit Voltage given Reverse Saturation Current?

Open Circuit Voltage given Reverse Saturation Current calculator uses Open Circuit Voltage = (([BoltZ]*Temperature in Kelvin)/[Charge-e])*(ln((Short Circuit Current in Solar cell/Reverse Saturation Current)+1)) to calculate the Open Circuit Voltage, The Open Circuit Voltage given Reverse Saturation Current is the difference of electrical potential between two terminals of a device when disconnected from any circuit, in this case, a solar cell. Open Circuit Voltage is denoted by Voc symbol.

How to calculate Open Circuit Voltage given Reverse Saturation Current using this online calculator? To use this online calculator for Open Circuit Voltage given Reverse Saturation Current, enter Temperature in Kelvin (T), Short Circuit Current in Solar cell (Isc) & Reverse Saturation Current (Io) and hit the calculate button. Here is how the Open Circuit Voltage given Reverse Saturation Current calculation can be explained with given input values -> 0.27699 = (([BoltZ]*300)/[Charge-e])*(ln((80/4E-06)+1)).

FAQ

What is Open Circuit Voltage given Reverse Saturation Current?
The Open Circuit Voltage given Reverse Saturation Current is the difference of electrical potential between two terminals of a device when disconnected from any circuit, in this case, a solar cell and is represented as Voc = (([BoltZ]*T)/[Charge-e])*(ln((Isc/Io)+1)) or Open Circuit Voltage = (([BoltZ]*Temperature in Kelvin)/[Charge-e])*(ln((Short Circuit Current in Solar cell/Reverse Saturation Current)+1)). 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, Short Circuit Current in Solar Cell is the current through the solar cell when the voltage across the solar cell is zero & Reverse Saturation Current is caused by the diffusion of minority carriers from the neutral regions to the depletion region in a semiconductor diode.
How to calculate Open Circuit Voltage given Reverse Saturation Current?
The Open Circuit Voltage given Reverse Saturation Current is the difference of electrical potential between two terminals of a device when disconnected from any circuit, in this case, a solar cell is calculated using Open Circuit Voltage = (([BoltZ]*Temperature in Kelvin)/[Charge-e])*(ln((Short Circuit Current in Solar cell/Reverse Saturation Current)+1)). To calculate Open Circuit Voltage given Reverse Saturation Current, you need Temperature in Kelvin (T), Short Circuit Current in Solar cell (Isc) & Reverse Saturation Current (Io). With our tool, you need to enter the respective value for Temperature in Kelvin, Short Circuit Current in Solar cell & Reverse Saturation Current 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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