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Q.

A battery is charged at a potential of 15 V for 8 hours when the current flowing is 10 A. The battery on discharge supplies a current of 5 A for 15 hours. The mean terminal voltage during discharge is 14 V. The Watt-hour efficiency of the battery is

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a

87.5 %

b

82.5 %

c

80 %

d

90 %

answer is D.

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Detailed Solution

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During charging energy consumed W₁= VIt = $15 \times 10 \times 8 = 1200 Watt - hour$

During discharge energy produced by the battery W₂ = $14 \times 5 \times 15 = 1050 Watt - Hour$

Efficiency = $\frac{1050}{1200} \times 100 = 87.5 %$

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A battery is charged at a potential of 15 V for 8 hours when the current flowing is 10 A. The battery on discharge supplies a current of 5 A for 15 hours. The mean terminal voltage during discharge is 14 V. The Watt-hour efficiency of the battery is