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Resistors are components found on most circuit boards and in most electronic devices. Since resistors do not come in every size, they have to be arranged in various ways to get the needed resistance. When three resistors are in parallel, then the total resistance, R, can be calculated using the equation where each of the resistances is in ohms (2). a) Determine an expression for the total resistance, R. b) Determine an expression for the total resistance if R, = R, = R,. c) Determine an expression for the total resistance if R, = 2R, = 6R,.

Resistors are components found on most circuit boards and in most electronic devices. Since resistors do not come in every size, they have to be arranged in various ways to get the needed resistance. When three resistors are in parallel, then the total resistance, R, can be calculated using the equation where each of the resistances is in ohms (2). a) Determine an expression for the total resistance, R. b) Determine an expression for the total resistance if R, = R, = R,. c) Determine an expression for the total resistance if R, = 2R, = 6R,.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Resistors are components found on most circuit boards and in most electronic devices. Since resistors do not come in every size, they have to be arranged in various ways to get the needed resistance. When three resistors are in parallel, then the total resistance, R, can be calculated 1 Ry using the equation EE+RR 1 1 1 R, where each of the resistances is in ohms (2). a) Determine an expression for the total resistance, R. b) Determine an expression for the total resistance if R, = R, = R,. c) Determine an expression for the total resistance if R, = 2R, = 6R,.
Transcribed Image Text:Resistors are components found on most circuit boards and in most electronic devices. Since resistors do not come in every size, they have to be arranged in various ways to get the needed resistance. When three resistors are in parallel, then the total resistance, R, can be calculated 1 Ry using the equation EE+RR 1 1 1 R, where each of the resistances is in ohms (2). a) Determine an expression for the total resistance, R. b) Determine an expression for the total resistance if R, = R, = R,. c) Determine an expression for the total resistance if R, = 2R, = 6R,.
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