Physics 2 for Geodesists

The module "Physics 2 for Geodesists" introduces experimental physics to students of Geodesy and Geoinformation. This module covers electricity, optics and basic concepts ot atomic physics and quantum physics.

Index of contents:

1. electricity
• electrostatics
• charges, Coulomb's law, electric fields, Gauss's law
• electric potential, work, voltage, poisson's law
• fields of charge distributions: monopoles, point charges, line charges, surface charges, dipoles
• dipoles in external fields, capacitors, capacity, energy stored on a capacitor
• matter in electric fields, polarisation, dielectric media, permittivity and susceptivity, electrostatics in media
• electric current
• definition, current, current density, continuity equation
• electric resistors, Ohm's law
• electrical work and electrical power
• circuits: capacitors, Kirchhoff's laws
• magnetostatics
• permanent magnets and magnetic fields of currents
• magnetic field strength
• sourcelessnesof the magnetic field und Ampere's law, Biot-Savart law
• fields in conductor loops and coils
• Lorentz force, magnetic dipoles in fields
• magentic fields in matter: diamagnetism, paramagnetism, ferromagnetism
• time dependent fields
• induktion and law of induction, Lenz's law, transformer
• displacement currene, Maxwell equations
• electromagnetic oscillations, oscillating circuit, Hertz dipole, electromagnetic waves
2. optics
• light and speed of light, Huygens' principle, Fermat's principle
• geometric optics
• reflection and refraction, total reflection, reflection and refraction on spherical surfaces (spherical mirror, lens)
• lenses, lens maker equation, Gauß's lense equation (thin lens equation), image formation by thin lenses
• combinations of lenses and optical instruments: eye, magnifying glass, telescope, microscope
• Wellenoptik:
• dispersion, polarisation, Brewster angle, double refraction
• thin-film interference, interferometers, double slit interference
• diffraction, diffraction on a single slit, resolution and Rayleigh criterion
3. modern physics
• atomic physics and quantum physics: wave-particle duality, photoelectric effect, Compton scattering, matter wave
• Heisenberg uncertainty principle, Schrödinger equation, tunnel effekt
• atoms andatomic spectra: Bohr's atomic model, orbital angular momentum, spin, periodic table of the elements
• laser
• crystals and basic concepts of solid state physics: conductors, isolators, semi conductors, diodes, diode laser
• nuclear physics and particle physics: binding energy, Bethe-Weizsäcker mass formula, radioactivity, nuchlear fission, standard model of particle physics

After successful completion of the module the students got an overview of the basics of electricity and optics and are thus able to solve simple problems in these fields of physics by themselves. Furthermore the students got an overview of the basic concepts of modern physics - this includes knowing the basic technical terms and remembering basic relations.

Module Physik 1 für Geodäten (PH9025)
mathematical skills (geometry, algebra, differential calculus, integral calculus)

Lecture:  ex-cathedra teaching with demonstration experiments

Exercise to Physics II for Geodesy and Geo-Information:  students get problem sheets and try to solve these problems by themselves before coming to the tutorial. During the tutorial sample solutions are presented by students or the lecturer and also possible alternative ways to solve to the problems are discussed. Students who present at least two solutions per term during the tutorial and who work through the problem sheets regularly (i.e. they miss at most two problem sheets) can get a bonus of 0.3 on the grade of the module. Following these tutorials will help the students to be prepared to solve the problems during the written exam.

During the lecture a powerpoint presentation is used and some contents are explained using the blackboard. Additionally some example videos are shown during the lecture. For the exercises problem sheets are provided. Also an e-learning course is offered via Moodle. Presentation slides and problem sheets as well as sample solutions to problems which have already been discussed in the tutorials are available on this platform.

• Wolfgang Demtröder Experimentalphysik 2: Elektrizität und Optik, 6. Auflage,Springer-Verlag (2012)
• Paul Dobrinski, Gunter Krakau, Anselm Vogel: Physik für Ingenieure, 12. Auflage,Teubner (2009)
• Ekbert Hering, Rolf Martin, Martin Stohrer: Physik für Ingenieure, 11. Auflage, Springer-Verlag (2012)
• Paul A. Tipler, Gene Mosca:Physik für Wissenschaftler und Ingenieure, 6. Auflage, Springer-Verlag (2009)
• Stephan W. Koch (Herausgeber), David Halliday, Robert Resnick, Jearl Walker: Physik, 2. Auflage, Wiley-VCH (2009)

There will be a written exam of 60 minutes duration. Therein the achievement of the competencies given in section learning outcome is tested exemplarily at least to the given cognition level using calculation problems and comprehension questions.

For example an assignment in the exam might be: The exam is held in German: Zwei Kondensatoren C1 und C1 haben die selbe Fläche von A=30 cm2 und den selben Plattenabstand von d=8 mm. In C1 befindet sich kein Dielektrikum, C2 ist vollständig mit einem Dielektrikum mit relativer Dielektrizität 3 gefüllt. Zeichnen Sie jeweils den Schaltplan und berechnen die Gesamtkapazität (epsilon0 = 8,854e-12 F/m) a) wenn beide Kondensatoren parallel geschaltet sind. b) wenn beide Kondensatoren in Serie geschaltet sind.

In the exam the following learning aids are permitted: pocket calculator

Participation in the tutorials is strongly recommended since the exercises prepare for the problems of the exam and rehearse the specific competencies.

There will be a bonus (one intermediate stepping of "0,3" to the better grade) on passed module exams (4,3 is not upgraded to 4,0). The bonus is applicable to the exam period directly following the lecture period (not to the exam repetition) and subject to the condition that the student passes the mid-term of

• working through the problem sheets regularly (missing most two problem sheets)
• presenting at least two sample solutions to the problems to the group