Electronics Fundamentals: Circuits, Devices & Applications
8th Edition
ISBN: 9780135072950
Author: Thomas L. Floyd, David Buchla
Publisher: Prentice Hall
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Textbook Question
Chapter 3, Problem 38P
How many kilowatt-hours do 50 W used for 12 h equal?
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Introduction
The circuit of Fig. 1 is required to be modeled using a state - space representation, where 2
states will be used, based on the number of the energy - storing elements of the circuit, the
capacitor and the inductor.
u(t)
+
ΙΩ
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13
F
5 Ω it (t)
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vc(t) 1 H
Figure 1: LCR circuit
The input signal to the circuit is the voltage u(t) in Volts and the output signal is the voltage
across the capacitor, vc(t).
Questions
1. Choice of system states:
Choose appropriate signals for the 2 states of the
system.
x₁(t) = i₁(t)
x₂ (t) =
5. State transition matrix:
(t), which is defined as,
Calculate analytically the state transition matrix
(t) = et = L¯¹{(sI – A)¯¹}
Show that the answer is the following,
1
e-4t cos(√2t) -
e-4 sin(√2 t)
1
e
-4t
√2
(t) = et
-3
1
-4t sin (√2 t)
e
COS
-4t cos (√2t) + -
e
sin(√2 t)
2-4t sin(√2 t)|
Calculate the following:
(SI - A)-1=
Use the completion - in - the-square technique (CASE 3) to calculate the inverse Laplace:
L¯¹{(SI - A)¯¹} =
A single-core cable working on 66 kV has a conductor diameter of 2 cm and the sheath of inside diameter
is 10 cm. If two metallic intersheaths of diameters 5 cm, 8 cm respectively are used for grading the cable.. If
the maximum electric stress is the same for each layers.
1- Find the voltage of each metallic intersheaths.
2- Find the thickness of each layers.
Chapter 3 Solutions
Electronics Fundamentals: Circuits, Devices & Applications
Ch. 3 - If the total resistance of a circuit increases,...Ch. 3 - Ohm’s law for finding resistance is R=1/V.Ch. 3 - When milliamps and kilohms are multiplied...Ch. 3 - If a 10k resistor is connected to a 10 V source,...Ch. 3 - Prob. 5TFQCh. 3 - Prob. 6TFQCh. 3 - Prob. 7TFQCh. 3 - Prob. 8TFQCh. 3 - A power supply that has a negative output voltage...Ch. 3 - Prob. 10TFQ
Ch. 3 - Ohm’s law states that current equals voltage...Ch. 3 - When the voltage across a resistor is doubled, the...Ch. 3 - Prob. 3STCh. 3 - Prob. 4STCh. 3 - Prob. 5STCh. 3 - Prob. 6STCh. 3 - Prob. 7STCh. 3 - Prob. 8STCh. 3 - Prob. 9STCh. 3 - Prob. 10STCh. 3 - A 2.2k resistor dissipates 0.5 W. The current is...Ch. 3 - Prob. 12STCh. 3 - Prob. 13STCh. 3 - Prob. 14STCh. 3 - Prob. 15STCh. 3 - Determine the cause for each set of symptoms....Ch. 3 - Determine the cause for each set of symptoms....Ch. 3 - Prob. 3TSCCh. 3 - Determine the cause for each set of symptoms....Ch. 3 - Prob. 5TSCCh. 3 - The current in a circuit is 1 A. Determine what...Ch. 3 - Prob. 2PCh. 3 - The current in a circuit is 10 mA. What will the...Ch. 3 - Determine the current in each case. V=5V,R=1.0...Ch. 3 - Determine the curren in each case. V=9V,R=2.7k...Ch. 3 - A 10 resistor is connected across a 12 V battery....Ch. 3 - A resistor is connected across the terminals of a...Ch. 3 - A 5-band resistor is connected across a 12 V...Ch. 3 - If the voltage in Problem 8 is doubled, will a 0.5...Ch. 3 - Calculate the voltage for each value of IandR....Ch. 3 - Calculate the voltage for each value of l and R....Ch. 3 - Three amperes of current are measured through a 27...Ch. 3 - Assign a voltage value to each source in the...Ch. 3 - Calculate the resistance for each value of V and...Ch. 3 - Calculate R for each set of V and I values....Ch. 3 - Six volts are applied across a resistor. A current...Ch. 3 - Choose the correct value of resistance to get the...Ch. 3 - A flashlight is operated from 3.2 V and has a...Ch. 3 - The flashlight in Problem 18 uses 26 J in 10 s....Ch. 3 - What is the power when energy is used at the rate...Ch. 3 - What is the powe in watts when 7500 J of energy...Ch. 3 - Convert the following to kilowatts:...Ch. 3 - Convert the following to megawatts: 1,000.000W...Ch. 3 - Convert the following to milliwatts:...Ch. 3 - Convert the following to microwatts:...Ch. 3 - Convert the following to watts:...Ch. 3 - Prove that the unit for power (the watt) is...Ch. 3 - Show that there are 3.6106 joules in a...Ch. 3 - If a resistor has 5.5 V across it and 3 mA through...Ch. 3 - An electric heater works on 115 V and draws 3 A of...Ch. 3 - What is the power when there are 500 mA of current...Ch. 3 - Calculate the power dissipated by a 10k resistor...Ch. 3 - If there are 60 V across a 620 resistor,what is...Ch. 3 - A 56 resistor is connected across the terminals of...Ch. 3 - If a resistor is to carry 2 A of current and...Ch. 3 - Convert 5106 watts used for 1 minute to kWh.Ch. 3 - Convert 6700 watts used for 1 second to kWh.Ch. 3 - How many kilowatt-hours do 50 W used for 12 h...Ch. 3 - Assume that an alkaline D-cell battery can...Ch. 3 - What is the total energy in joules that is...Ch. 3 - A 6.8k resistor has burned out in a circuit. You...Ch. 3 - A certain type of power resistor comes in the...Ch. 3 - For each circuit in Figure 3-31, assign the proper...Ch. 3 - A 50 load consumes 1 W of power. What is the...Ch. 3 - A battery can provide an average of 1.5 A of...Ch. 3 - How much average current can be drawn from an 80...Ch. 3 - If a battery is rated at 650mAh, how much average...Ch. 3 - If the input power is 500mW and the output power...Ch. 3 - To operate at 85% efficiency, how much output...Ch. 3 - In the light circuit of Figure 3-32, identify the...Ch. 3 - Assume you have a 32-light string and one of the...Ch. 3 - Prob. 52PCh. 3 - The filament of a light bulb in the circuit of...Ch. 3 - A certain electrical device has an unknown...Ch. 3 - A variable voltage source is connected to the...Ch. 3 - In a certain circuit, Vs=1Vandl=5mA. Determine the...Ch. 3 - Figure 3-35 is a graph of current versus voltage...Ch. 3 - You are measuring the current in a circuit tha is...Ch. 3 - If you wish to increase the amount of current in a...Ch. 3 - A 6 V source is connected to a 100 resistor by two...Ch. 3 - If a 300 W bulb is allowed to burn continuously...Ch. 3 - At the end of a 31 day period, your utility bill...Ch. 3 - A certain type of power resistor comes in the...Ch. 3 - A 12 V source is connected across a 10 resistor...Ch. 3 - The rheostat in Figure 3-36 is used to control the...Ch. 3 - Open file P03-66; files are found at...Ch. 3 - Open file P03-67. Determine whether or not the...Ch. 3 - Open file P03-68. Determine whether or not the...Ch. 3 - Open file P03-69. Determine whether or not the...Ch. 3 - Open file P03-70. Determine whether or not the...
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