# Environmental Science: Numerical Questions – Solar Cell: Calculate Efficiency and Area

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## Type I – Calculate Efficiency

1. A single solar cell (10 cm×10 cm) produces a voltage of 0.5 V and a current up to 2.5 A. If the solar insolation is 800 W/m2,the efficiency of the solar cell is:

1. ⁓15.6 %

2. ⁓24.6 %

3. ⁓12.3 %

4. ⁓10.2 %

Explanation:

Given Values.

S.I = 800 w/m2

Voltage (V) = 0.5 V

Current (I) = 2.5 A

η =?

Area = 10 cm×10 cm = 10-2 m2 [1 cm = 0.01m]

η = x 100 …………………………… (i)

Solar Insulation (S.I) = ………………………. (ii)

Pout = Voltage (V) x Current (I) ……………… (iii)

Using (i), (ii) and (iii) we can deduce.

η =

η

η =

η = 0.1562 = 15.62 %

The efficiency of the solar cell is 15.62%.

## Type II – Calculate Area

2. A single solar cell on illumination by insolation of about 800 Wm−2 produces a voltage of 0.5 V and a current up to 2.0 A. The efficiency of the solar cell is 12.5%. The area of the cell is:

1. 2×10−2 m2

2. 5×10−3 m2

3. 4×10−4 m2

4. (4) 10−2 m2

Explanation:

Given data’s.

SI = 800 w/m2

Voltage (V) = 0.5 V

Current (I) = 2.0 A

N = 12.5%

Area =?

η = x 100 …………………………… (i)

Solar Insulation (S.I) = ………………………. (ii)

Pout = Voltage (V) x Current (I) ……………… (iii)

Using (i), (ii) and (iii) we can deduce.

η =

A =

A = 10-2 m2

The Area of the cell is 10-2 m2 Hence option (D) 10-2 m2 is the correct answer.

## Type III – Calculate Power

3. Solar insolation on a rectangular module (1.5 m x 2.0 m) of photovoltaic cells is 550 W/m2. If the efficiency of the cells is 12% What is the power output of the module?

1. 396 W

2. 240 W

3. 99 W

4. 198 W

Explanation:

Given Values.

S.I = 550 W/m2

η = 12% = 0.12

Area = 1.5 m x 2.0 m = 3 m2

Power = ?

η = x 100 …………………………… (i)

Solar Insulation (S.I) =

Pin = Area * S.I ………………………. (ii)

Using (i) and (ii) we can deduce.

η =

0.12 =

P = 0.12 * 550 * 3

P = 198 W

The power of the solar cell is 198 W

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