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Unformatted text preview: 10/19/08 6:51 PM MasteringPhysics Page 1 of 12 http://session.masteringphysics.com/myct Assignment Display Mode: View Printable Answers Physys 202 Fall08 HW5 Due at 11:00pm on Wednesday, October 15, 2008 View Grading Details Problem 26.36 Description: (a) Determine the currents I_1, I_2, and I_3 in the figure. Assume the internal resistance of each battery is 1.0Omega . (b) What is the terminal voltage of the 6.0V battery? Part A Determine the currents , , and in the figure. Assume the internal resistance of each battery is 1.0 . Express your answer using two significant figures. Enter your answers numerically separated by commas. ANSWER: , , = Part B What is the terminal voltage of the 6.0 battery? Express your answer using two significant figures. ANSWER: = Equivalent Resistance Description: Find the equivalent resistance of a network of resistors with series and parallel connections. The network geometry gets progressively more complicated by adding more resistors. Consider the network of four resistors shown in the diagram, where = 2.00 , = 5.00 , = 1.00 , and = 7.00 . The resistors are connected to a constant voltage of magnitude . Part A Find the equivalent resistance of the resistor network. Hint A.1 How to reduce the network of resistors [ 10/19/08 6:51 PM MasteringPhysics Page 2 of 12 http://session.masteringphysics.com/myct The network of resistors shown in the diagram is a combination of series and parallel connections. To determine its equivalent resistance, it is most convenient to reduce the network in successive stages. First compute the equivalent resistance of the parallel connection between the resistors and , and imagine replacing the connection with a resistor with such resistance. The resulting network will consist of three resistors in series. Then find their equivalent resistance, which will also be the equivalent resistance of the original network. Part A.2 Find the resistance equivalent to and Find the equivalent resistance of the parallel connection between the resistors and . Hint A.2.a Two resistors in parallel Consider two resistors of resistance and that are connected in parallel. They are equivalent to a resistor with resistance , which satisfies the following relation: . Express your answer in ohms. ANSWER: = If you replace the resistors and with an equivalent resistor with resistance , the resulting network will consist of three resistors , , and connected in series. Their equivalent resistance is also the equivalent resistance of the original network. Hint A.3 Three resistors in series Consider three resistors of resistance , , and that are connected in series. They are equivalent to a resistor with resistance , which is given by ....
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