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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

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
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
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

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
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
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

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

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

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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