Four 1.5-volt AA batteries in series power a transistor radio.If the batteries hold a total charge of 440 C,how long will they last if the radio has a resistance of 200 Ω?
A) 4.1 h
B) 2.2 h
C) 1.1 h
D) 13 h

Question

Quizplus · Accepted Answer

The total voltage from four 1.5-volt batteries in series is 6 volts. Using Ohm's Law (V = IR), the current (I) is 6V / 200Ω = 0.03 A. The time (t) the batteries will last is the total charge (Q) divided by the current (I), so t = 440 C / 0.03 A = 14666.67 seconds, which is approximately 4.1 hours.

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