Unit information: Core Physics C in 2011/12

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Unit name Core Physics C
Unit code PHYS11300
Credit points 20
Level of study C/4
Teaching block(s) Teaching Block 4 (weeks 1-24)
Unit director Dr. Barnes
Open unit status Not open
Pre-requisites

Normally A-level Physics and A-level Mathematics

Co-requisites

PHYS11100

School/department School of Physics
Faculty Faculty of Science

Description including Unit Aims

The unit builds on A-level Physics A2 and some aspects of Core Physics A - Fields, Oscillations and Waves and associated tutorials - to introduce new concepts and put those already taught on to a firm mathematical footing. Students will be brought up to a level of understanding and knowledge that will enable them to continue with studies in these areas in relevant year 2 Physics programmes.

Aims:

Oscillations and Waves:

  • To introduce and provide examples of the use of complex numbers in oscillation and wave phenomena.
  • To introduce the simple harmonic oscillator and its mathematical solution and to explore the effects of damping.
  • To illustrate different forms of the wave equation, with specific examples for light and sound.

To discuss the principles governing the propagation of light and sound.

  • To develop ideas of superposition and introduce the application of Fourier Analysis.
  • To introduce and explain interference and diffraction phenomena.
  • To introduce the laws governing refraction and reflection of light and to explore the mathematical formulation of geometrical optics.
  • To introduce the Schrodinger wave equation for simple potentials, and to illustrate the similarities and differences between classical and quantum wave mechanics.

Fields:

  • To provide clear explanations of the concept of a field and its mathematical description in physics.
  • To introduce and explain the gravitational and electromagnetic fields.
  • To describe properties of AC circuits.

Students will be brought to a level of understanding and knowledge that will enable them to continue with studies in these areas in relevant year 2 Physics programmes.

Intended Learning Outcomes

Oscillations and waves:

Students should be able:

  • to write down the differential equation governing oscillatory motion, and solve simple problems concerning damped and un-damped simple harmonic oscillators.
  • to write down the wave equation for longitudinal and transverse waves and solve simple problems of wave motion.
  • to understand and be able to manipulate physical quantities expressed in complex variable notation.
  • to understand the principles of wave superposition and Fourier Analysis and to be able to apply them to solving simple problems.
  • to predict the diffraction patterns of simple optical systems.
  • to understand and to be able to solve simple problems in geometric optics.
  • to understand the operation and resolution criteria of optical instruments.

Fields:

Students should be able:

  • to understand the concept of potential and to use it to solve simple problems.
  • to understand vector fields and their mathematical description and to solve simple problems using them.
  • to understand the mathematical relationship between the scalar potential and vector field for electrostatic and gravitational fields and to solve simple problems involving them using vector calculus.
  • to understand and be able to use the Gauss and Coulomb Laws.
  • to understand and be able to apply Kirchoffs laws to analyse simple circuits.
  • to analyse simple AC circuits using complex variable notation.

Teaching Information

Lectures (41) and problems sheets in tutorials (8).

Assessment Information

Formative Assessment:

Tutorials (8) and problems classes Problem sheets provide formative feedback.

Summative Assessment:

A final 2 hour examination (80%) and problem sheets (20%).

Reading and References

  • Tipler and Mosca,
  • Physics for Scientists and Engineers (6th Extended Edition with Modern Physics, Freeman)
  • Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences, Jordan and Smith
  • Mathematical Methods in the Physical Sciences M. Boas