Physics 1C First Week Class notes : Walter Gekelman
Physics 1C Fall 2012
Fall 2012
Class Notes : Walter Gekelman
Let us review once again the Force laws as well as those involving electric forces:
(1) F = q E + v B
(
(2)
)
Force law with Lorentz term
0 E
Problem 1. Given a disc of inner radius a and outer radius b with surface charge
density spinning in the clockwise direction. The disk spins about the z axis with
angular frequency . An observer is located at position z (on the z axis).
a) What is the mag
Physics 1C
Walter Gekelman
Class Notes
Week 10
Fall 2012
The geometry of spacetime is non-Euclidian. Euclidian geometry is
what you learned in high school. Spacetime geometry is hyperbolic! For
space time the Lorentz transformation is such a matrix. The
Physics 1C
Fall quarter 2012
Relativity:
W. Gekelman
Class Notes
Ninth Week
Albert Einstein got to thinking about light and relative motion. He came
up with two postulates, which seem innocent enough but shook the
world:
1) The laws of physics have the
Physics 1C
Difraction
Walter Gekelman
Class Notes
Fall 2012
Week 8
Consider a small hole with a light source on one side. The light spreads
out as a spherical wave from this point source as in the gure below:
When the light hits a point on a screen ther
Physics 1C
Week 7
Spring 2011
Class Notes
Walter Gekelman
Interference of Light:
If two vectors of equal magnitude and opposite direction are added their
sum is zero. This is the basic principle of the interference of light.
E = E0 cos( kz t ) E0 cos( k
Physics 1C
W. Gekelman
Class Notes
Sixth Week
Fall 2012
chapter 33
Consider the energy density of an electromagnetic wave. To get it let us add the energy
density (energy/volume) of electric fields and of magnetic fields.
u=
1
12
E
0E 2 +
B but = c =
2
2
Physics 1C
Spring Quarter 2011
W. Gekelman Notes-5
Let us write down Maxwells equations in both integral and differential form.
Differential Form
E =
0
B = 0
B
E=
t
E
B = 0 j + 0 0
t
Integral Form
q
E i ndA =
0
BindA = 0
d
E i dl = Bi ndA
dt
d
Bidl
Physics 1C
AC circuits
Fall Quarter 2012
Walter Gekelman
Now let us examine a series LRC circuit with a battery and a switch. is
closed at t=0. First lets do it the books way. We will next introduce a far
better method using complex numbers.
Let us take
Physics 1C
Week 3 notes
Fall Quarter 2012
W. Gekelman
B
leads us to the concept of inductance. If one part
t
of a circuit produces a changing magnetic ux and this in turn goes
through a loop in another part of a circuit or in an adjacent circuit it will
Physics 1C notes
Faradays Law
(1)
=
Week 2
dB
d
= Bi ndA
dt
dt
Prof. Walter Gekelman
fall 2012
Faradays Law
B is the magnetic ux. The rst term is the total time derivative of the
magnetic ux and the second is the same (the integral is simply the
deniti
IC Midterm 2!
!
W. Gekelman !
!
!
!
Solutions
1) An electromagnetic wave traveling in a medium with index of refraction n1 strikes a
second media with index of refraction n2 at an angle of 1, where the angle of incidence
is greater than the critical angle