Show all steps leading to the final answer, where applicable . See attachemnt
NEED DONE ASAPCollege of Technology
2022
ESET 111
Electric Circuits II
Midterm Exam
Name: __________________________
Date: ____________________
Exam time: 3 Hours
Show all steps leading to the final answer, where applicable, for partial credit.
1. A certain sine wave has a frequency of 2 kHz and a peak value of V = 10 VP. Assuming a given cycle begins at t = 0 s (zero crossing).
a. What is the change in voltage from t1 = 0 µs to t2 = 125 µs.
2. Initially, the capacitors in the following circuit are uncharged. Calculate the following values.
a. After the switch is closed, how much charge is supplied by the source?
b. What is the voltage across each capacitor?
3. For the circuit shown below, calculate:
a. The total circuit current.
b. The branch currents through L2 and L3
c. The voltage across each inductor.
4. For the circuit shown below, perform the following tasks.
a. Find the circuit impedance in both rectangular and polar coordinates.
b. Find the total circuit current.
c. Draw the phasor diagram showing the circuit voltage and current and the phase angle.
5. For the circuit below, calculate the following:
a. Determine the circuit impedance.
b. Determine the total circuit current.
c. Find the voltage magnitude across each circuit element.
Rev September 2022
Page 1
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image1.pngESET 111 Week 3: Capacitors and RC Circuits
Chapter 12 Objectives:
Describe characteristics of a capacitor
Analyze series and parallel capacitors
Analyze capacitors in DC circuits
Analyze capacitors in AC circuits
Chapter 15 Objectives:
Determine relationship between current and voltage in an RC circuit
Determine impedance of series, parallel, and series-parallel RC circuits
Analyze series, parallel, and series-parallel RC circuits
Weekly Assignments:
3.1 Discussion: Application of RC Circuits
3.2 Review Assignment: Capacitors and RC Circuits
3.3 Quiz: Capacitors and RC Circuits (Practice)
3.4 Exam: Midterm
3.1 Discussion: Applications of RL Circuits
Capacitive Touch Screens
Run and Start Capacitors
Myth Buster: Capacitors
Capacitor Discharging
Advantages and Disadvantages: Capacitors
Supercapacitors
Troubleshooting Capacitors
Volatile Digital Memory
3.2 Review Assignment: Inductors and RL Circuits
12-1 The Basic Capacitor
12-2 Types of Capacitors
12-3 Series Capacitors
12-4 Parallel Capacitors
12-5 Capacitors in DC Circuits
12-6 Capacitors in AC Circuits
12-7 Capacitor Applications
15-1 The Complex Number System
15-2 Sinusoidal Response of Series RC Circuits
15-3 Impedance of Series RC Circuits
15-4 Analysis of Series RC Circuits
15-5 Impedance and Admittance of Parallel RC Circuits
15-6 Analysis of Parallel RC Circuits
15-7 Analysis of Series-Parallel RC Circuits
15-8 Power in RC Circuits
15-9 Basic Applications
15-10 Troubleshooting
Chapter 15: The Complex Number System
Complex Numbers allow us to do mathematical calculations on phasor quantities in out AC circuits. Numbers are plotted on the complex plane. Numbers one the complex plane can be represented in either polar or rectangular format.
A complex number in rectangular coordinates is written as Re + j Im
A complex number in polar coordinates is written as
4
Chapter 15: Rectangular to Polar Conversion
General
Convert rectangular to coordinates as follows:
The evaluation of the inverse tangent depends upon the quadrant of the angle.
Tan-1 (the principal arctangent) is only defined for -90° to 90°.
If the resultant angle is in the 2nd quadrant, you must add 180° to the result from your calculator.
If the resultant angle is in the 3rd quadrant, you must subtract 180° from the results of your calculator.
We like to express our angles from -180° to 180°
5
Chapter 15: Rectangular to Polar Conversion
First Quadrant
Convert the following number to rectangular coordinates:
Given:
10 + j 500
Find:
Polar representation of number
Convert rectangular to coordinates as follows:
510
78.1°
6
Y-Values 0 100 0 0 500 Column1 0 100 0 Column2 0 100 0
Chapter 15: Rectangular to Polar Conversion
Second Quadrant
Convert the following number to rectangular coordinates:
Given:
-122 + j 340
Find:
Polar representation of number
Convert rectangular to coordinates as follows:
361
109.7°
7
Y-ValuESET 111 Week 2: Inductors and RL Circuits
Chapter 13 Objectives:
Describe characteristics of an inductor
Analyze series and parallel inductors
Analyze inductors in DC circuits
Analyze inductors in AC circuits
Chapter 15 Objective:
The Complex Number System
Chapter 16 Objectives:
Determine relationship between current and voltage in an RL circuit
Determine impedance of series, parallel, and series-parallel RL circuits
Analyze series, parallel, and series-parallel RL circuits
Weekly Assignments:
2.1 Discussion: Applications of RL Circuits
2.2 Review Assignment: Inductors and RL Circuits
2.3 Quiz: Inductors and RL Circuits
2.1 Discussion: Applications of RL Circuits
Fluorescent Light Ballast
Inductor Loop Circuit
Myth Buster: Inductors
Induction Cooktop
Advantages and Disadvantages: Inductors
Transformers
Troubleshooting Inductors
Inductive Pass Filters
2.2 Review Assignment: Inductors and RL Circuits
13-1 The Basic Inductor
13-2 Types of Inductors
13-3 Series and Parallel Inductors
13-4 Inductors in DC Circuits
13-5 Inductors in AC Circuits
13-6 Inductor Applications
15-1 The Complex Number System
16-1 Sinusoidal Response of Series RL Circuits
16-2 Impedance of Series RL Circuits
16-3 Analysis of Series RL Circuits
16-4 Impedance and Admittance of Parallel RL Circuits
16-5 Analysis of Parallel RL Circuits
16-6 Analysis of Series-Parallel RL Circuits
16-7 Power in RL Circuits
16-8 Basic Applications
16-9 Troubleshooting
Chapter 15: The Complex Number System
Complex Numbers allow us to do mathematical calculations on phasor quantities in out AC circuits. Numbers are plotted on the complex plane. Numbers one the complex plane can be represented in either polar or rectangular format.
A complex number in rectangular coordinates is written as Re + j Im
A complex number in polar coordinates is written as
4
Chapter 15: Rectangular to Polar Conversion
General
Convert rectangular to coordinates as follows:
The evaluation of the inverse tangent depends upon the quadrant of the angle.
Tan-1 (the principal arctangent) is only defined for -90° to 90°.
If the resultant angle is in the 2nd quadrant, you must add 180° to the result from your calculator.
If the resultant angle is in the 3rd quadrant, you must subtract 180° from the results of your calculator.
We like to express our angles from -180° to 180°
5
Chapter 15: Rectangular to Polar Conversion
First Quadrant
Convert the following number to rectangular coordinates:
Given:
100 + j 500
Find:
Polar representation of number
Convert rectangular to coordinates as follows:
510
78.1°
6
Y-Values 0 100 0 0 500 Column1 0 100 0 Column2 0 100 0
Chapter 15: Rectangular to Polar Conversion
Second Quadrant
Convert the following number to rectangular coordinates:
Given:
-122 + j 340
Find:
Polar representation of number
Convert rectangular to coordinates as follows:
361
109.7°
7
Y-Values 0 -122 0 340 ELECTRIC CIRCUITS I
METRIC PREFIX TABLE
Metric
Prefix
Symbol
Multiplier
(Traditional Notation)
Expo-
nential
Description
Yotta
Y
1,000,000,000,000,000,000,000,000
1024
Septillion
Zetta
Z
1,000,000,000,000,000,000,000
1021
Sextillion
Exa
E
1,000,000,000,000,000,000
1018
Quintillion
Peta
P
1,000,000,000,000,000
1015
Quadrillion
Tera
T
1,000,000,000,000
1012
Trillion
Giga
G
1,000,000,000
109
Billion
Mega
M
1,000,000
106
Million
kilo
k
1,000
103
Thousand
hecto
h
100
102
Hundred
deca
da
10
101
Ten
Base
b
1
100
One
deci
d
1/10
10-1
Tenth
centi
c
1/100
10-2
Hundredth
milli
m
1/1,000
10-3
Thousandth
micro
µ
1/1,000,000
10-6
Millionth
nano
n
1/1,000,000,000
10-9
Billionth
pico
p
1/1,000,000,000,000
10-12
Trillionth
femto
f
1/1,000,000,000,000,000
10-15
Quadrillionth
atto
a
1/1,000,000,000,000,000,000
10-18
Quintillionth
zepto
z
1/1,000,000,000,000,000,000,000
10-21
Sextillionth
yocto
y
1/1,000,000,000,000,000,000,000,000
10-24
Septillionth
4-BAND RESISTOR COLOR CODE TABLE
BAND
COLOR
DIGIT
Band 1: 1st Digit
Band 2: 2nd Digit
Band 3: Multiplier
(# of zeros
following 2nd digit)
Black
0
Brown
1
Red
2
Orange
3
Yellow
4
Green
5
Blue
6
Violet
7
Gray
8
White
9
Band 4: Tolerance
Gold
± 5%
SILVER
± 10%
5-BAND RESISTOR COLOR CODE TABLE
BAND
COLOR
DIGIT
Band 1: 1st Digit
Band 2: 2nd Digit
Band 3: 3rd Digit
Band 4: Multiplier
(# of zeros
following 3rd digit)
Black
0
Brown
1
Red
2
Orange
3
Yellow
4
Green
5
Blue
6
Violet
7
Gray
8
White
9
Gold
0.1
SILVER
0.01
Band 5: Tolerance
Gold
± 5%
SILVER
± 10%
EET Formulas & Tables Sheet
Page
1 of
21
UNIT 1: FUNDAMENTAL CIRCUITS
CHARGE
Where:
Q = Charge in Coulombs (C)
Note:
1 C = Total charge possessed by 6.25×1018 electrons
VOLTAGE
Where:
V = Voltage in Volts (V)
W = Energy in Joules (J)
Q = Charge in Coulombs (C)
CURRENT
Where:
I = Current in Amperes (A)
Q = Charge in Coulombs (C)
t = Time in seconds (s)
OHM’S LAW
Where:
I = Current in Amperes (A)
V = Voltage in Volts (V)
R = Resistance in Ohms (Ω)
RESISTIVITY
Where:
ρ = Resistivity in Circular Mil – Ohm per Foot (CM-Ω/ft)
A = Cross-sectional area in Circular Mils (CM)
R = Resistance in Ohms (Ω)
ɭ = Length in Feet (ft)
Note:
CM: Area of a wire with a 0.001 inch (1 mil) diameter
CONDUCTANCE
Where:
G = Conductance in Siemens (S)
R
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