Table of Contents

Table of Contents

“Exercises of Optics and Electromagnetism”

INTRODUCTION

ELECTROMAGNETISM

OPTICS

WAVES AND WAVE PHENOMENA

“Exercises of Optics and Electromagnetism”

“Exercises of Optics and Electromagnetism”

SIMONE MALACRIDA

In this book, exercises are carried out regarding the following physics topics:

electrostatics, electrodynamics, magnetostatics, magnetodynamics, and electromagnetism

geometrical, matrix and diffractive optics

wave phenomena

Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

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INTRODUCTION _ _

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I – ELECTROMAGNETISM

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

Exercise 14

Exercise 15

Exercise 16

Exercise 17

Exercise 18

Exercise 19

Exercise 20

Exercise 21

Exercise 22

Exercise 23

Exercise 24

Exercise 25

Exercise 26

Exercise 27

Exercise 28

Exercise 29

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II – OPTICS

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

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III - WAVES AND WAVE PHENOMENA

Exercise 1

Exercise 2

Exercise 3

Exercise 4

INTRODUCTION

INTRODUCTION

In this workbook some exemplary problems about electromagnetism and optics are carried out.

The way of tackling the resolution of the exercises follows what is generally done at the university level in the courses of General Physics II.

For this reason, the workbook is aimed only at those who already have an advanced understanding of both university-level mathematical analysis problems and the physical theories necessary to understand the proposed exercises.

I

ELECTROMAGNETISM

ELECTROMAGNETISM

Exercise 1

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Calculate the electric field and electric potential of an infinite straight wire with linear charge density equal to lambda.

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At distance r from the wire we have:

The electric potential for a wire of length 2l is:

Where is it:

Therefore:

For an infinite thread we have:

Exercise 2

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Calculate the electric field of an infinite plane of radius R with surface charge density equal to sigma.

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For reasons of symmetry, the electric field has only a radial part given by:

If r is much smaller than R we have:

Where is it:

Exercise 3

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Calculate the electric field generated by a uniformly distributed surface charge density on a spherical shell of radius R.

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We have:

Exercise 4

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Calculate the potential energy of a sphere of radius R containing a uniformly distributed charge Q.

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Impressum

Verlag: BookRix GmbH & Co. KG

Tag der Veröffentlichung: 24.04.2023
ISBN: 978-3-7554-4027-7

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