Allied & ICAR Exam Bank • ALLIED_1120 NAT • 2 Marks

Section 3: Farm Power

Farm Power

Subtopic: Solar PV Irrigation

Question Statement:

A solar PV submersible pump lifts water at a discharge rate of 150 L/min against a total dynamic head of 30 m. If the combined pump and motor efficiency is 60%, the required electrical output power of the solar PV array in kW is: (Take $g = 9.81\text{ m/s}^2$ and $\rho = 1000\text{ kg/m}^3$)

Answer Key:

1.23

Step-by-Step Solution & Explanation

Flow rate $Q = \frac{150}{60 \times 1000} = 0.0025\text{ m}^3/\text{s}$. Hydraulic power $P_{hyd} = \rho g Q H = 1000 \times 9.81 \times 0.0025 \times 30 = 735.75\text{ W} = 0.736\text{ kW}$. Required electrical power $P_{el} = \frac{P_{hyd}}{\eta} = \frac{0.73575}{0.60} = 1.226\text{ kW}$.
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