GATE EC 2017 Set 2 — Question 37
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Electronic Devices → Optoelectronic Devices → Solar Cell Efficiency & Responsivity
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Question
For a particular intensity of incident light on a silicon junction solar cell, the photocurrent density () is and the open-circuit voltage () is . Consider thermal voltage () to be . If the intensity of the incident light is increased by 20 times, assuming that the temperature remains unchanged, (in volts) will be
Correct answer
0.51 to 0.62
Solution
The open-circuit voltage () for a solar cell is given by the equation:
where is the photocurrent density, is the reverse saturation current density, and is the thermal voltage.
Since , we can approximate it as:
Given:
Initial photocurrent density
Initial open-circuit voltage
Thermal voltage We can write the change in when changes from to as:
Using the logarithm property :
When the intensity of incident light is increased by 20 times, the photocurrent density also increases by 20 times.
So, .Substitute the given values into the equation:
Calculate :
Now, substitute this value:
Solve for :
Rounding to two decimal places, .
This value falls within the specified range of 0.51 to 0.62.
where is the photocurrent density, is the reverse saturation current density, and is the thermal voltage.
Since , we can approximate it as:
Given:
Initial photocurrent density
Initial open-circuit voltage
Thermal voltage We can write the change in when changes from to as:
Using the logarithm property :
When the intensity of incident light is increased by 20 times, the photocurrent density also increases by 20 times.
So, .Substitute the given values into the equation:
Calculate :
Now, substitute this value:
Solve for :
Rounding to two decimal places, .
This value falls within the specified range of 0.51 to 0.62.
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