Removal Exam Emags

7/28/2019 Removal Exam Emags

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FINAL EXAMINATIONELECTROMAGNETICS

NAME _____________________ DATE _______________ SCORE ________________

Answer all the questions to the best of your ability. CHEATING in any form is punishable with a finalgrade of 5.0. Proceed and God Bless!

I. Problem solving. Round off all your answers to three decimal places.

1. Calculate the total charge within the indicated volume: O < < 0.1, O < < , 2 < z < 4,

v = 2 z 2 sin 0.6 C / m 3 .

2. Find E at the origin if the following charge contributions are present in free space : point charge, 12nC, at P( 2, 0, 6 ); a uniform line charge density, 3 nC / m at x = -2, y = 3; uniform surface chargedensity, 0.2 nC / m 2 atx = 3

3. A vectorF = 3x a X + 0.5y2a y + 0.25x

2 y 2a z is given at point P( 3, 4, 12 ) in the rectangularcoordinate system. Express this vector in the spherical coordinate system.

4. Two point charges Q 1 = 30 C and Q 2 = - 100 C, are located at ( 2, 0, 5 ) m and ( -1, 0, -2 ) m,respectively. Find the force on Q 1.

II. Identification/ Fill in the blanks (STRICTLY NO ERASURES. Erasures will be considered wrong)

1. The _________ is a unit of force that is equal to ________ and is required to give a 1 -kilogram ( kg ) mass an acceleration of 1 meter per second per second ( m / s 2 ).

2. How many electrons represent a negative charge of 1 C?3. Coulomb stated that the _________ between 2 very small objects separated in a vacuum or

_________ by a distance which is large compared to their size is __________ to the squareof the distance between them.

4. The constant o is called the _________ and has the magnitude measured in ____________.5. The force expressed by Coulomb's Law is a mutual force, for if we multiply Q1, by a factor n,

the force on Q2 is also ____________ by the same factor n.6. It is also true that the force on a charge in the presence of several other charges is the

_________ of the forces on that charge due to each of other charges acting alone.7. The vector force on a unit positive test charge is called __________.8. It constitutes the source of all electromagnetic fields.9. The charge associated with an electron is classified as a ___________.10. What are the various forms of charge distributions?11. __________ is the amount of charge that is transferred through the cross - section of a wire in

1 s when there is a current of 1 A in the wire.12. With the __________ element charge method we reduce any charge distribution to differential

elements of charge, dQ, which we treat as point charges.

13. The units of the various charge densities l , s, and v are _________, ___________, and________.

III. Essay

1. Show that the following units are dimensionally equal: C 2 / N.m 2 and F/m and N / C and V /m.

2. Compare and contrast Coulomb's Law and Newton's Universal Law of Gravitation.3. List some electrical component that can be mathematically modeled as a line charge, as a

surface charge, and as a volume charge distribution.

Glossary Units Electric Permittivity Square Coulomb Per Newton Per

Square Meter

Square Coulomb Per Newton Per Square Meter (C2/N-m2) is a unit in the category

ofElectric permittivity. It is also known as square coulomb/newton-square meter. Square Coulomb


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Per Newton Per Square Meter (C2/N-m2) has a dimension of M-1L-3T4I2 where M is mass, L is length,

T is time, and I is electric current. It essentially the same as the corresponding standard SI unit F/m.

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Note that the seven base dimensions are M (Mass), L (Length), T (Time), (Temperature), N

(Aamount of Substance), I (Electric Current), and J (Luminous Intensity).

Other units in the category of Electric permittivity include Ampere Second Per Volt Per Meter (A-s/V-

m), and Farad Per Meter (F/m).

Glossary Units Electric Permittivity Farad Per Meter

Farad Per Meter (F/m) is a unit in the category ofElectric permittivity. It is also known as

farad/meter. This unit is commonly used in the SI unit system. Farad Per Meter (F/m) has a

dimension of M-1L-3T4I2 where M is mass, L is length, T is time, and I is electric current. This unit is

the standard SI unit in this category.

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m), and Square Coulomb Per Newton Per Square Meter (C 2/N-m2).

Glossary Units Electric Field Strength Newton Per Coulomb

Newton Per Coulomb ( N/C) is a unit in the category ofElectric field strength. It is also

known as newtons/coulomb. Newton Per Coulomb ( N/C) has a dimension of MLT -3I-1 where M is

mass, L is length, T is time, and I is electric current. It essentially the same as the corresponding

standard SI unit V/m.

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Other units in the category of Electric field strength include A.u. of Electric Field Strength (a.u.), Volt

Per Foot (V/ft), Volt Per Meter (V/m), and Volt Per Mil (V/mil).

Glossary Units Electric Permittivity Square Coulomb Per Newton Per

Square Meter

Square Coulomb Per Newton Per Square Meter (C2/N-m2) is a unit in the category

ofElectric permittivity. It is also known as square coulomb/newton-square meter. Square Coulomb

Per Newton Per Square Meter (C2/N-m2) has a dimension of M-1L-3T4I2 where M is mass, L is length,

T is time, and I is electric current. It essentially the same as the corresponding standard SI unit F/m.

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m), and Farad Per Meter (F/m).

volt per meter (V/m)Part of theSmart gridglossary:

The standard unit of electric field (E-field) strength is thevoltpermeter(V/m). An E field of 1 V/m is

represented by a potential difference of 1 V existing between two points that are 1 m apart. Reduced to

baseSIunits, 1 V/m is the equivalent of one meter kilogram per second cubed per ampere (m ? kg ? s -3 ?

A

-1

).

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electric field strength

Electric field strength is a quantitative expre...

(WhatIs.com)

Table of Physical Units

Cheat sheet quick look-up for the table of phys...

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The volt per meter, or some fractional unit based on it, is used as a means of specifying the intensity of

theelectromagnetic field(EM field) produced by a radio transmitter. Although an EM field contains a

magnetic (M) component as well as an electric (E) component, the relative field strength of radio signals

is easier to measure in free space by sampling only the E component. The magnitude of the E

component from a distant radio transmitter is often much less than 1 V/m, and in such cases, fractional

units are preferred. One millivolt per meter (mV/m) is equal to 10 -3V/m; one microvolt per meter (?

V/m) is equal to 10 -6 V/m; one nanovolt per meter (nV/m) is equal to 10 -9 V/m; one picovolt per meter

(pV/m) is equal to 10 -12 V/m.
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4/8

The magnitude of the E component of a radio wave varies inversely with the distance from the

transmitter in a free-space, line-of-sight link. If the distance is doubled, the E-field intensity is cut in half;

if the distance increases by a factor of 10, the E-field intensity becomes 1/10 (0.1 times) as great. The E

component of an EM field is measured in a single dimension, so the intensity-versus-distance relation is

a straight inverse rule, not the inverse-square law.

When expressing the intensity of EM fields at infrared (IR), visible, ultraviolet (UV), X-ray, and gamma-

raywavelengths, the watt per meter squared, or one of the fractional units based on it, is more

commonly used.

Glossary Units Electric Field Strength Volt Per Meter

Volt Per Meter (V/m) is a unit in the category ofElectric field strength. It is also known as

volts per meter, volt/meter, volt/metre, volt per metre, volts per metre. This unit is commonly used

in the SI unit system. Volt Per Meter (V/m) has a dimension of MLT-3I-1 where M is mass, L is length,

T is time, and I is electric current. This unit is the standard SI unit in this category.

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Other units in the category of Electric field strength include A.u. of Electric Field Strength (a.u.),

Newton Per Coulomb ( N/C), Volt Per Foot (V/ft), and Volt Per Mil (V/mil).

Units of Measurement

Introduction

Physics is about the study of energy and forces. In order to test and measure physical

quantities we need to define some standard measures which we everyone can agree on. These

standards can never perfectly accurate because they are rooted in the physical world but every

endevour is made to make them as precise as possible. The internationally recognised authority

for the definition of these standards is theConference Generale des Poids et Measures (CGPM).

Units

We must ensure that the result we use in our calculations are in the correct units. The

consequence of getting it wrong can be very expensive as with the loss of the NASA Mars

Climate Orbiter spacecraft in 1999. It spun out of control because part of the software assumed

Imperial units and another part assumed metric units.
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