Physics Current Electricity Power, Energy, Battery, EMF, Terminal Voltage, KCL & KVL MCQ (Single Correct)

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

A
82.5 %
B
80%
C
90%
D
87.5 %

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Text Solution

Verified by Experts
The correct answer is:
D

Watt-hour efficiency of a battery is the ratio of output energy to the input energy. Input energy when the battery is charged

= Vit

= 15 × 10 × 8 = 1200 W–h

Energy released when the battery is discharged

= 14 × 5 × 15 = 1050 W–h

Hence, W-h efficiency of battery is given by

= = = 0.875 = 87.5%

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