GATE AG 2021 • Q39 MSQ • 2 Marks

Section 3: Farm Power

Sources of Power

Subtopic: Sources of power on the farm – human, animal, mechanical, electrical, wind, solar and biomass

Question Statement:

A solar panel has length of 1.3 m and width of 0.65 m. The solar cells cover 90% of the panel area and its conversion efficiency is 13.7%. For a total solar radiation of 750 W·m⁻², the panel output voltage is 18 V at its maximum power output. If two such panels are connected in series to supply power to run a thresher, the current in A that can be supplied by the two panels at the maximum power output is

Options:

  • (A) 2.17
  • (B) 3.01
  • (C) 4.34
  • (D) 8.68

Official Answer Key:

A, C

Step-by-Step Solution & Explanation

Panel area = 1.3×0.65 = 0.845 m²; active cell area = 0.90×0.845 = 0.7605 m². Power per panel = radiation × active area × efficiency = 750×0.7605×0.137 = 78.14 W. Two panels in SERIES: power adds (voltages add, current stays the same as a single panel): Total power = 2×78.14 = 156.28 W at combined voltage 2×18 = 36 V. Current = Power/Voltage = 156.28/36 = 4.34 A, matching (C).

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