Four 1.5-volt AA batteries in series power a transistor radio.If the batteries hold a total charge of 200 C,how long will they last if the radio has a resistance of 200 Ω?
A)6.0 h
B)1.9 h
C)2.6 h
D)1.4 h
E)2.4 h

Question

Quizplus · Accepted Answer

Using Ohm's Law, we can calculate the current through the radio: I = V/R = 6/200 = 0.03 A.
Since the batteries are in series, the total voltage is 6 V. Using the formula Q=It, where Q is charge, I is current, and t is time, we can solve for t: t = Q/I = 200/0.03 = 6666.67 seconds, which is approximately 1.9 hours. Therefore, the best choice is B.

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