Current Electricity Charging Discharging Of Capacitors Question 642

Question: 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

[CBSE PMT 2004]

Options:

A) 82.5%

B) 80 %

C) 90%

D) 87.5%

Show Answer

Answer:

Correct Answer: D

Solution:

Watt hour efficiency $ =\frac{\text{Discharging}\text{energy}}{\text{Charging}\text{energy}} $

$ =\frac{14\times 5\times 15}{15\times 8\times 10} $

$ =0.875 $

$ =87.5% $