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# Introduction to Circuits and Electronics ECEN 2250

GPA 3.9

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This 8 page Study Guide was uploaded by Mrs. Lacy Schneider on Thursday October 29, 2015. The Study Guide belongs to ECEN 2250 at University of Colorado at Boulder taught by Staff in Fall. Since its upload, it has received 33 views. For similar materials see /class/231806/ecen-2250-university-of-colorado-at-boulder in ELECTRICAL AND COMPUTER ENGINEERING at University of Colorado at Boulder.

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Date Created: 10/29/15

ECEN 2250 Circuits I Test 1 study guide Concepts you need to understand 0 Variables including charge current voltage resistance conductance energy and power What are their units how do these units relate back to SI units except resistance which is not particularly illuminating how do they relate to one another including equations and differential nature eg charge and current Passive sign convention How current and voltage are assigned what the sign of the power means iv characteristics for resistors Ohm s law ideal sources shorts and opens current source in parallel with resistor voltage source in series with a resistor Make sure you understand what these mean eg how does an open circuit relate to a current source Kirchoff s Laws What is the physical basis look at hydraulics analogy for both where to apply them nodes for KCL loops for KVL sign convention how to pick the minimum number of equations meshesquot for KVL inner window panes Parallel and series elements Recognition this particular set of elements is or is not in parallel How to combine into equivalent elements how they perform voltage or current division including more than two paths Equivalent circuits What this means use for resistors and sources Resistors in seriesparallel give largersmaller resistance Table 234 Use of equivalent circuits to solve analysis problems what to do when to get to the answer you want most efficiently Resistor equivalent short hand and how to turn it into an equation Nodevoltage analysis Concept of ground Node voltages and how they relate to element voltages How to perform nodevoltage analysis 4 step method shortcut method not necessary but helpful how to deal with voltage sources 3 methods How to study 1 Make sure you understand the concept a Look at the java app on the website or the hydraulics analogy to help 2 Make sure you know how to apply the concepts a Do problems the examples in the book on your own TH EN look at the solution in the book the HW problems the clicker quizzes recital problems etc 3 Make sure you know when to apply the concepts some methods better than others in particular situations a Do the same problems multiple ways See how the methods relate and which is easier why Review questions for Wed night These are quotstretchquot problems If you can do these comfortably you ve got the concepts down fine You still may need to work problems to make sure you can efficiently apply the concepts Iquot 5 Consider a strange device that is able to tell you the charge flowing through it as a function of time qt and the power being dissipated in it pt Derive expressions for the current t voltage vt and effective resistance Rt of the device Use units throughout noting how defined units relate to one another You find you re buddy s partially completed homework for Circuits and want to finish it for her Unfortunately you don t have the original problem so you have to work with just the partial results which are given below Find the remaining currents voltages and powers If you know that the circuit consists of only resistors and voltage sources identify the components including their values Vll5V P4 4 mW P2 10 mW P3 3 mW V3 Consider the two circuits below Show that the power dissipation in resistor two is zero in both circuits when it becomes either a short or an open With just these two points make a very rough sketch of the power dissipated in resistor two as a function of its resistance f R2 were a lightbulb and R1 is the inherent resistance in each source what does this suggest that might be interesting to you the engineer gt gtR1 4 You measure the current in resistors 1 3 and 2 below and find them to be in the ratio 211 that is the current in R1 twice that in both R3 and R2 Using this information and Kirchhoff s and Ohm s laws derive relationships between the various resistors shown AAA R vv R 3 4 AAA AAA vv vv R5 AA vv R2 AAA vv 5 Draw the circuit diagram from the following equivalent resistance shorthand REQ R1 R2 u R3 u R4 RS u R6 u R7 R8 u R9 6 Consider the source below Prove that it is equivalent to just the current source R1 0 R1 7 Label the circuit below with element currents and voltages Write the KVL for various loops in terms of the element voltages Rewrite this equation in terms of node voltages and show that the equations are automatically satisfied VA 93 w 1 lt gt lt ECEN 2250 Circuits I Test 1 study guide Concepts you need to understand 0 Variables including charge current voltage resistance conductance energy and power What are their units how do these units relate back to SI units except resistance which is not particularly illuminating how do they relate to one another including equations and differential nature eg charge and current Passive sign convention How current and voltage are assigned what the sign of the power means iv characteristics for resistors Ohm s law ideal sources shorts and opens current source in parallel with resistor voltage source in series with a resistor Make sure you understand what these mean eg how does an open circuit relate to a current source Kirchoff s Laws What is the physical basis look at hydraulics analogy for both where to apply them nodes for KCL loops for KVL sign convention how to pick the minimum number of equations meshesquot for KVL inner window panes Parallel and series elements Recognition this particular set of elements is or is not in parallel How to combine into equivalent elements how they perform voltage or current division including more than two paths Equivalent circuits What this means use for resistors and sources Resistors in seriesparallel give largersmaller resistance Table 234 Use of equivalent circuits to solve analysis problems what to do when to get to the answer you want most efficiently Resistor equivalent short hand and how to turn it into an equation Nodevoltage analysis Concept of ground Node voltages and how they relate to element voltages How to perform nodevoltage analysis 4 step method shortcut method not necessary but helpful how to deal with voltage sources 3 methods How to study 1 Make sure you understand the concept a Look at the java app on the website or the hydraulics analogy to help 2 Make sure you know how to apply the concepts a Do problems the examples in the book on your own TH EN look at the solution in the book the HW problems the clicker quizzes recital problems etc 3 Make sure you know when to apply the concepts some methods better than others in particular situations a Do the same problems multiple ways See how the methods relate and which is easier why Review questions for Wed night These are quotstretchquot problems If you can do these comfortably you ve got the concepts down fine You still may need to work problems to make sure you can efficiently apply the concepts Iquot 5 Consider a strange device that is able to tell you the charge flowing through it as a function of time qt and the power being dissipated in it pt Derive expressions for the current t voltage vt and effective resistance Rt of the device Use units throughout noting how defined units relate to one another You find you re buddy s partially completed homework for Circuits and want to finish it for her Unfortunately you don t have the original problem so you have to work with just the partial results which are given below Find the remaining currents voltages and powers If you know that the circuit consists of only resistors and voltage sources identify the components including their values Vll5V P4 4 mW P2 10 mW P3 3 mW V3 Consider the two circuits below Show that the power dissipation in resistor two is zero in both circuits when it becomes either a short or an open With just these two points make a very rough sketch of the power dissipated in resistor two as a function of its resistance f R2 were a lightbulb and R1 is the inherent resistance in each source what does this suggest that might be interesting to you the engineer gt gtR1 4 You measure the current in resistors 1 3 and 2 below and find them to be in the ratio 211 that is the current in R1 twice that in both R3 and R2 Using this information and Kirchhoff s and Ohm s laws derive relationships between the various resistors shown AAA R vv R 3 4 AAA AAA vv vv R5 AA vv R2 AAA vv 5 Draw the circuit diagram from the following equivalent resistance shorthand REQ R1 R2 u R3 u R4 RS u R6 u R7 R8 u R9 6 Consider the source below Prove that it is equivalent to just the current source R1 0 R1 7 Label the circuit below with element currents and voltages Write the KVL for various loops in terms of the element voltages Rewrite this equation in terms of node voltages and show that the equations are automatically satisfied VA 93 w 1 lt gt lt

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