Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Current Division Method
The generalized current divider formula is given by the following relation below,
Question
Problem 3 Consider the following circuit: 392 192 5Ω 292 492 12 V (a) Carefully identify series and parallel combinations. Make sure that you use the connections, not the layout on the page to decide - you should have done some of this already as part of a prep assignment. (b) Find the equivalent resistance of the circuit. (c) Find the current through and power dissipated in each resistor (d) Find the power provided by the battery. Confirm that the total power dissipated by the resistors equals the power from the battery. You may have a rounding error in the least significant digit of plus or minus one; that is ok, but you should not be off by much more than that. (e) What would be the power provided by the battery if the 5 Ohm resistor were replaced with a 0 Ohm resistor (i.e. if we "shorted out" the 5 Ohm resistor)? What would be the power provided by the battery if the 5 Ohm resistor were replaced with an infinite Ohm resistor (i.e. if we disconnected the resistor from the circuit or replaced it with an open switch)? Use these answers to check your work.
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Transcribed Image Text:Problem 3 Consider the following circuit: 392 192 5Ω 292 492 12 V (a) Carefully identify series and parallel combinations. Make sure that you use the connections, not the layout on the page to decide - you should have done some of this already as part of a prep assignment. (b) Find the equivalent resistance of the circuit. (c) Find the current through and power dissipated in each resistor (d) Find the power provided by the battery. Confirm that the total power dissipated by the resistors equals the power from the battery. You may have a rounding error in the least significant digit of plus or minus one; that is ok, but you should not be off by much more than that. (e) What would be the power provided by the battery if the 5 Ohm resistor were replaced with a 0 Ohm resistor (i.e. if we "shorted out" the 5 Ohm resistor)? What would be the power provided by the battery if the 5 Ohm resistor were replaced with an infinite Ohm resistor (i.e. if we disconnected the resistor from the circuit or replaced it with an open switch)? Use these answers to check your work.
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