GATE EC 2024 Set 1 — Question 65
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Electronic Devices → Optoelectronic Devices → Diode Equation & Resistance
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Question
The photocurrent of a PN junction diode solar cell is mA. The voltage corresponding to its maximum power point is V. If the thermal voltage is mV, the reverse saturation current of the diode (in nA, rounded off to two decimal places) is _________.
Correct answer
4 to 4.26
Solution
The current in a solar cell is given by the equation:where is the photocurrent, is the reverse saturation current, is the voltage across the cell, and is the thermal voltage.The power delivered by the solar cell is:To find the maximum power point, we take the derivative of with respect to and set it to zero:Given values:
mA A
V (voltage at maximum power point)
mV VCalculate the ratio :Substitute the values into the equation:Using :Converting to nA:The value rounded to two decimal places is .
mA A
V (voltage at maximum power point)
mV VCalculate the ratio :Substitute the values into the equation:Using :Converting to nA:The value rounded to two decimal places is .
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