Overview:
Class lecture:
Resources:
Notes: Geometrical Optics [PDF]
Problem Set 8 [PDF]
Problem Set 8 Solutions [PDF]
Sumber:
Notes: Geometrical Optics [PDF]
Problem Set 8 [PDF]
Problem Set 8 Solutions [PDF]
The physical meaning of the components of the wave equation and their applications are discussed. The power carried by the wave is derived. The fact that, unlike Newton's laws, Maxwell's equations are already consistent with relativity is discussed. The existence of magnetism is deduced from a thought experiment using relativity.
Problem Set 8 [PDF]
Problem Set 8 Solutions [PDF]
Waves on a string are reviewed and the general solution to the wave equation is described. Maxwell's equations in their final form are written down and then considered in free space, away from charges and currents. It is shown how to verify that a given set of fields obeys Maxwell's equations by considering them on infinitesimal cubes and loops. A simple form of the solutions is assumed and the parameters therein fitted using Maxwell's equations. The wave equation follows, along with the wave speed equal to that of light (3 x 10^8), suggesting (correctly) that light is an electromagnetic wave. The vector relationship between the electric field, the magnetic field and the direction of wave propagation is described.
Problem Set 7 [PDF]
Problem Set 7 Solutions [PDF]
The mathematics underlying LCR circuit theory for AC currents is discussed. Complex numbers are used to convert differential equations to algebraic equations. The notion of impedance is introduced. The radio is used to illustrate the concepts of resonance and variable capacitance. The body of classical electromagnetism treated so far is reviewed and summarized. The displacement current is introduced, leading to the complete Maxwell equations.
Problem Set 6 [PDF]
Problem Set 6 Solutions [PDF]
Like capacitors, inductors act as energy storage devices in circuits. The relationship between voltage, inductance and current in a variety of circuits with DC voltages is described.
Problem Set 6 [PDF]
Problem Set 6 Solutions [PDF]
The electric effect of a changing magnetic field is described using Faraday's Law. The direction of the current so generated is given by Lenz's Law. The operation and energy accounting of the generator are described. The concept of inductance is introduced. The Betatron is described as an example of Faraday's Law. Self and mutual inductance are introduced. The energy density in a magnetic field is derived.
Notes: Faraday and Lenz: A Loop in Two Frames [PDF]
Problem Set 5 [PDF]
Problem Set 5 Solutions [PDF]