Chapter 1: Circuit Variables
Passive Sign Convention
Problem 1 Which devices are labeled according to the passive sign convention (PSC)?
Problem 2 For each device, state whether Passive Sign Convention (PSC) or Active Sign Convention (ASC)
is used for the defined current and voltage. Then determine whether the device is absorbing or
delivering power.
Problem 3 For labeled currents, draw an arrow to show the direction of positive current. For labeled
voltages, circle the node that is at the highest potential.
Energy
Problem 1 (a) Suppose that a 12-volt automobile battery with 100 amp-hour capacity is fully charged.
How much energy (in joules) is stored in the battery?
(b) Next, suppose that the battery needs to supply the automobile's emergency flashers while the driver
seeks roadside assistance. The flashers consume 50 watts of power when on, and the flashers are active
for a half second out of every two seconds. Assuming that the battery can maintain its rated output
voltage until completely depleted of stored energy, how long (in hours) will the battery be able to
operate the flashers?
SI Units
Problem 1 A "night light" illuminates dark hallways and children's rooms at night. Older night lights use
incandescent bulbs (tungsten filament in an evacuated glass envelope), while newer night lights use
light-emitting diodes (LEDs). The older style night light bulb requires 4 W of power to operate, while a
newer LED night light might require about 0.2 W of power. According to the U.S. Department of Energy,
a kilowatt-hour costs 9.85 cents for the residential customers, on average
(http://www.eia.doe.gov/cneaf/electricity/epm/table5_6_b.html).
During the course of a year, what is the total cost saved by using an LED-based night light
instead of the older style night light?
Problem 3 As of 1983, the definition of a "meter" is based on the speed of light, specifically, the distance
that light travels in a vacuum during the time interval 299,792,458-1 seconds. Electrical signals moving in
a cable (for example, the coaxial cable that connects your television to the cable jack in the wall) travel
at approximately 70% of the speed of light. Speaking of television, a high-definition (HD) receiver can
update its display 60 times per second, where each display frame contains 1280x720 pixels.
So: How far can the television signal travel in a coaxial cable during the time that an HD receiver is
drawing a new pixel on the screen?
Problem 4 Beginning in Beijing, China, you need to travel about 11,000 kilometers to reach New York
City. Communication satellite signals traveling between these two cities move at close to the speed of
light (3x108 meters per second). The eye blink duration of a human is approximately 300 milliseconds.
So, is it possible for a communication signal to jump from Beijing to New York in the "blink of an eye?"
Chapter 2 Circuit Elements
Voltage Sources
Problem 1 For each voltage source, draw a voltage label (polarity indicators and value) with the positive
indicator at the top or to the right that is equivalent to the indicated voltage.
Problem 2 Which of the following circuit connections are invalid?
Current Sources
Problem 1 For each current source, draw a current label (arrow and value) pointing up or to the right
that is equivalent to the indicated current.
Problem 2 Which of the following circuit connections are invalid?
Dependent Voltage Sources
Problem 1 For each voltage source, draw a voltage label (polarity indicators and value) with the positive
indicator at the top or to the right that is equivalent to the indicated voltage.
Dependent Current Sources
Problem 1 For each current source, draw a current label (arrow and value) pointing up or to the right
that is equivalent to the indicated content.
Ohm’s Law
Problem 1 Based on the following measurements across a black box's terminals, determine what
elements are inside it.
KCL
Problem 1 Determine the current through each of the resistors in this circuit.
KVL
Problem 1 Find the voltage across resistor R0.
KCL and KVL
Problem 1 Find the value of V0.
Problem 2 Find the current through the 10 kΩ resistor.
Problem 3 Find the current through the 300 Ω resistor.
Problem 4 A circuit analysis program tells us that v1 = 2V, v2 = 2V, v3 = -5V, v4 = 8V, and V5 = 5V. Test
whether this is correct.
Problem 5 Find the currents i1, i2, and i3 using KCL.
Chapter 3 Resistive Circuits
Equivalent Resistance
Problem 1 Find the equivalent resistance at terminals a and b.
Problem 2 Reduce the circuit to a single resistor at terminals a and b.
Problem 3 Find the current i in the circuit.
Problem 4 Obtain the equivalent resistance at terminals a-b.
Problem 5 Simplify the circuit between terminals A and B to a single equivalent resistor. Delta-Y.
Problem 6 Find the source voltage across the 1 mA current source.
Problem 7 Simplify the circuit between terminals a and b.
Current Divider
Problem 1 Find the current i through the 7kΩ resistor using current division.
Problem 2 Given that i = 6mA, v = 6V, 2i1 = 3i2, i2 = 2i3, v4:v3 = 2:1, we need to specify the resistors to
meet the following specification.
Voltage Divider
Problem 1 Use voltage division to find the current i through the 30 kΩ resistor and the voltage v across
the 6 kΩ resistor.
Problem 1 Use current division and voltage division to find the voltage vab across terminals a-b.
Problem 1 Use voltage division to find the current i through the 30 kΩ resistor and the voltage v across
the 6 kΩ resistor.
Chapter 4 Techniques of Circuit Analysis
Node Voltage
Category: Counting Nodes/
Category: Grounded Voltage Sources/
Category: Independent Current Sources/
Category: Floating Voltage Sources (Supernodes)/
Mesh Current
Category: Independent Voltage Sources/
Category: Dependent Sources/
Category: Current Source in Single Mesh/
Category: Current Source in Two Meshes (Supermeshes)/
Source Transformations
Category: Single Source/
Category: Multiple Sources/
Thevenin Equivalents
Category: Black Box Terminal Behavior/
Category: Independent Sources/
Category: Independent and Dependent Sources/
Category: Dependent Sources Exclusively/
Category: Maximum Power Transfer/
Superposition
Category: Two Sources/
Category: Three Sources/
Chapter 5 Op-Amps
Category: Modeling/
Category: Inverting/
Category: Summing/
Category: Difference/
Category: Noninverting/
Category: Cascade/
Category: Combination/
Category: Design/
Category: Instrumentation/
Chapter 6 Inductors and Capacitors
no equivalent problems
Chapter 7 First Order Response of RL and RC Circuits
Category: RC Natural Response/
Category: RC Initial Conditions/
Category: RC Step Response/
Category: RC Sequential Response/
Category: RL Natural Response/
Category: RL Step Response/
Category: RL Initial Conditions/
Category: RL Sequential Response/
Chapter 8 Natural and Step Response of RLC Circuits
Category: Initial Conditions/
Category: Initial Value and Final Value/
Category: Response Type/
Category: Step Response/