A battery is charged at a potential of 15, V | vedclass

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(D) The Watt-hour efficiency of a battery is defined as the ratio of the total energy supplied by the battery during discharge to the total energy con

Vedclass · Accepted Answer

$87.5$

Vedclass · Answer

(D) The Watt-hour efficiency of a battery is defined as the ratio of the total energy supplied by the battery during discharge to the total energy consumed during charging.Energy consumed during charging $(E_{in})$ = $V_{charge} 	imes I_{charge} 	imes t_{charge} = 15\, V 	imes 10\, A 	imes 8\, h = 1200\, Wh$.Energy supplied during discharge $(E_{out})$ = $V_{discharge} 	imes I_{discharge} 	imes t_{discharge} = 14\, V 	imes 5\, A 	imes 15\, h = 1050\, Wh$.Watt-hour efficiency $(\eta)$ = $\frac{E_{out}}{E_{in}} 	imes 100\%$.$\eta = \frac{1050}{1200} 	imes 100\% = 0.875 	imes 100\% = 87.5\%$.

$A$ 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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