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A circuit consists of three identical lamps, each of resistance $R,$ connected to a battery as in Figure P 18.53. (a) Calculate an expression for the equivalent resistance of the circuit when the switch is open. Repeat the calculation when the switch is closed. (b) Write an expression for the power supplied by the battery when the switch is open. Repeat the calculation when the switch is closed. (c) Using the results already obtained, explain what happens to the brightness of the lamps when the switch is closed.

a. 3 \mathrm{R}, 2 \mathrm{R}

b. \frac{\epsilon^{2}}{3 R}, \frac{\epsilon^{2}}{2 R}

c. no answer available

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Rutgers, The State University of New Jersey

Hope College

University of Winnipeg

McMaster University

in the first part of this question, we're going to calculate a Clint Resistance when the switch is open and when is it closed? So we have to calculate, Are you open and are closed? One. Sewage is kept open. The combination off the registers become Siri's so we can write. Are you open? Equals two are plus plus. So this will be forced to Are you open equals two trio once which is closed. There will be no current through the lost land which one which is not a C so we can write for the rest of the registers, which are in cities. It is Ari closed equals two are plus R, which is close to are closed because too tour in part B. We have to kill Claire the expressions for the power. When the switch is closed, as well as when the switch is opened, that is be open and peek lost. The relation for P opened his rudeness be open equals two squared, divided by Ari Open, which will be equals two. The open will be equals two. He's squared, divided by tria. Similarly, P series will be glutinous. Sorry. Peek lost. We closed the ports to He's squarely. Why didn't buy our clothes? No sitting a way off this island closed. You know this question We will get be closed, will be goes toe I squared, divided by tour No, let's coming down the question of mercy. So when the switch is closed, more credible pass through the left, see? So it would not blow. Where is the other two lungs will show the same brightness. Also, I know the question.