College

A portable television using a 12 V, 3 Ah rechargeable battery can operate for a period of about 6 hours.

1. What is the average current drawn during this period?

2. What is the energy expended by the battery in joules?

Answer :

Final answer:

The average current drawn by the portable television is 0.5 A, and the energy expended by the battery is 129600 joules.

Explanation:

To determine the average current drawn by the portable television over a period of 6 hours with a 12 V, 3 Ah battery, we use the formula for current (I), which is the charge (Q) divided by time (t).

I = Q / t = 3 Ah / 6 h = 0.5 A

Thus, the average current drawn is 0.5 A.

To calculate the energy expended by the battery, we use the formula E = V \\cdot Q, where E is energy in joules (J), V is voltage in volts (V), and Q is charge in ampere-hours (Ah).

E = 12 V \\cdot 3 Ah = 12 V \\cdot 3 A \\cdot 3600 s = 129600 J

Therefore, the energy expended by the battery is 129600 joules.