Bill has two identical lamps each of resistance 5 ohms and two 9-volt-batteries. If he wants to light the two lamps for a duration as long as possible, how should he connect the lamps and batteries?
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The trick is to minimize the I 2 R losses of the load which are the two lamps. That is to minimize the current I through the lamps. Since by Ohm's Law, I = R V to minimize I , we minimize V and maximize R . The smallest V is achieved by connecting the 9-volt batteries in parallel ( V = 9 V ). To maximize R we connect the lamps in series ( R = 1 0 Ω ). The current is I = 0 . 9 A . Therefore, the answer is C .