1)

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


A) 80%

B) 90%

C) 87.5%

D) 82.5%

Answer:

Option C

Explanation:

Power of battery, when  charged  is given by   $P_{1}=V_{1}I_{1}$

Electrical  energy dissipated id given by $E_{1}=P_{1}t_{1}$

$E_{1}=V_{1}I_{1}t_{1}=15  \times 10  \times 8=1200Wh$

Similarly , the electrical energy dissipated during the discharge of battery is given by $E_{2}=V_{2}I_{2}t_{2}$

=$14 \times 5 \times 15=1050 Wh$

 Hence, watt-hour efficiency of the battery 

$\Rightarrow$  $\eta= \frac{E_{2}}{E_{1}} \times 1000.875 \times 100=87.5$