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Flashlight batteries. A typical small flashlight contains two batteries, each having an emf of 1.5 $\mathrm{V}$ , connected in series with a bulb having resistance 17$\Omega .$ (a) If the internal resistance of the batteries is negligible, what power is delivered to the bulb? (b) If the batteries last for 5.0 h, what is the total energy delivered to the bulb? (c) The resistance of real batteries increases as they run down. If the initial internal resistance is negligible, what is the combined internal resistance of both batteries when the power to the bulb has decreased to half its initial value? (Assume that the resistance of the bulb is constant. Actually, it will change somewhat when the current through the filament changes, because this changes the temperature of the filament and hence the resistivity of the filament wire.)

(a) $P=0.530 \mathrm{W}$(b) $U=9540 \mathrm{J}$(c) $r=7 \Omega$

Physics 102 Electricity and Magnetism

Chapter 19

Current, Resistance, and Direct-Current Circuit

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Capacitance and Dielectrics

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Cornell University

Rutgers, The State University of New Jersey

University of Washington

Hope College

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enough off. Single battery is 1.5 world, as we have used to Betty's in the finish line Balls. So totally muff will be called tau three point their world presents off. Light bulb is 17 home. And in the first part off this problem, we want to go great power delivered by the libel. So by using the relation that p equal to so get off re upon, huh? Here we have Walter sequel to three points in the world. A bone. Really? Since off both ways, 79. So we help our delivered by the wolf equal to 0530 What? No. In the second part we have, we have. There's no biggie less last four or five hours. So here we have time equal to five bars, which is equal to five month supply. 36 double zero to go. Now we want to complete total energy and delivered to the bulls by the benches. So here we have energy. Is it true power? Times time. Your power delivered by the ball is 0.530 What in through time is five times 36 Double the dose again. So the hell and aren't equal to mine. Fire four zero Do you now in the sea part in a part Because you're our liberties. We're rich. Nobody says no. Any Donnelly presents there is a sense of real Betty's in grease. Is there a window? So here we hell neglect initial resistance. But when the Bettys random then did a significant effect off and you share significant effect off internal distance off the Bettys in the circuit. So here we hell, given that when the baby's run dome for some time then the power delivered to the world degrees to Hopper's initial value. So we have new power deliver in above equal toe. Half of the venue calculated in party of this problem which waas zero by 530 What upon too. So the new power believer through the wolf is equal to zero point through six five. What? No. We want to calculate the current flowing through the walls by using the dilation p equal to ice. A care times are are We can write it. Yes, I equal to scare it off p A bomb. Are nobody putting? Well, you are pee on Well, you off all in the solution. So here I equal to here We helped be equal to zero point to 65 word upon presents off my boat with sir, do you know? So the hooker flames both in this case equal to unified 105 ampere. No way was in the coalition. You move. Is it cultural? Our times our bullets. I don't capital r hear Tomonaga is the Internet is since off the battery and our capital on is the resistance of the world. No, by putting different Will you see her here? We helped him. Ethical toe three world turn in the circuit equal to zero part 1 to 5 in Pierre Indo are bliss that is since upper liable Who's 17 on? So we have three walked upon. You don't find one through five and beer is equal to small R plus 17 0 So we have do it before Oh, musical toe are plus or dino our recon right he says are equal to 24 on minus certainly no riches. Ical tool seven home. So this is that intermarry since oh board the budgies

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