A battery is charged to a voltage of 15 V for 8 hours with 10 A current. On discharge, the battery supplies a current of 5 A for 15 hours at a mean terminal voltage of 14 V . The efficiency of the battery is

Question

A battery is charged to a voltage of 15 V for 8 hours with 10 A current. On discharge, the battery supplies a current of 5 A for 15 hours at a mean terminal voltage of 14 V . The efficiency of the battery is, 80 %, 90 %, 87 . 5 %, 82 . 5 %

MARKS App · Accepted Answer

The power of the battery, when charged, is given by P 1 = V 1 I 1 The electrical energy dissipated is given by E 1 = P 1 t 1 i. e., E 1 = P 1 I 1 t 1 = 15 × 10 × 8 = 1200 Wh Similarly, the electrical energy dissipated during the discharge of battery is given by E 2 = V 2 I 2 t 2 = 14 × 5 × 15 = 1050 Wh Hence, watt-hour efficiency of the battery is given by η = E 2 E 1 × 100 = 0 . 875 × 100 = 87 . 5 %

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