Physics 1C
First Midterm
February 3, 2009
Name:_Solutions_ Student ID:_
This is a closed book test. No calculators. Write in pen. You may use your 3X5 inch index card and nothing else (but your brain). Use this booklet and write your name (in print) on ev
Physics 1C Week 7 Interference of Light:
Winter 2009
Class Notes Walter Gekelman
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 co
1C second week notes - Gekelman
Physics 1C notes Faradays Law
Week 2
Prof. Walter Gekelman
(1)
!="
! B is the magnetic flux. The first term is the total time derivative of the magnetic flux and the second is the same (the integral is simply the definition
Midterm 2 study guide
The second 1C midterm will be on Friday February 27th in class. Just like the first exam it will be in a self contained booklet provided to you. There will be trig identities if you need them . You may bring a 3X5 inch index card wit
PHYS 1C DISCUSSION
MAGNETIC FORCES
Problem 1. A particle with charge q and mass m is initially traveling in the +y direction with speed v0 . It then
enters a region containing a uniform magnetic eld B = B z. This region extends a distance d along the init
PHYS 1C DISCUSSION
INDUCTORS, ALTERNATING CURRENT
Problem 1. Consider the circuit shown below. The switch is closed at time t = 0, causing current I1 though the
inductive branch and current I2 through the capacitive branch. The capacitor is initially unch
Physics 1C Lecture 3
Final Examination
Information sheet
Topics
The exam will consist of 5 problems. Three of these will be from the recent material, and two more
from material included in the prior midterms:
1. Geometric optics (Ch. 34). Be able to compu
PHYS 1C DISCUSSION
ELECTROMAGNETIC WAVES
Problem 1. The magnetic eld of a plane EM wave is given by
B = B0 sin(kx t) y
(a) What is the wavelength of the wave?
(b) What is the electric eld associated with this magnetic eld?
(c) Calculate the Poynting vecto
PHYS 1C DISCUSSION
PROPAGATION OF LIGHT REFRACTION
Problem 1. Consider a light ray incident from air on a sphere of radius r and index of refection n. Let be the
incident angle, and let the ray follow the path shown, so that the the ray exits the sphere e
Physics 1C Lecture 3
Midterm Examination 2
Information sheet
Topics
The exam will consist of 3 problems, one each from the following general topics/chapters:
1. Inductance, and inductors in circuits (Ch. 30, 31). Be able to dene and calculate inductances
PHYS 1C DISCUSSION
FARADAYS LAW
Problem 1. A long solenoid of radius a carrying n turns per unit length is looped by a wire with resistance R as
shown.
(a) If the current in the solenoid is increasing at a constant rate (dI/dt = k), what current ows in th
Physics 1C Lecture 3, Fall 2014
Midterm Examination 2
November 19, 2014
Exam rules: Please do not forget to write your name and student ID on the front
of the exam!
No electronic gadgets of any kind, and the exam is closed book and closed notes. Any
numer
PHYS 1C DISCUSSION
ELECTROMAGNETIC WAVES
Problem 1. The magnetic eld of a plane EM wave is given by
B = B0 sin(kx t) y
(a) What is the wavelength of the wave?
(b) What is the electric eld associated with this magnetic eld?
(c) Calculate the Poynting vecto
PHYS 1C DISCUSSION
INDUCTANCE
Problem 1. A small loop of wire with radius a lies a distance z above the center of a large loop with radius b.
The planes of the loops are parallel. By considering the case in which current I ows in the big loop, nd the
mutu
PHYS 1C DISCUSSION
MAGNETIC FORCES
Problem 1. A particle with charge q and mass m is initially traveling in the +y direction with speed v0 . It then
enters a region containing a uniform magnetic eld B = B z. This region extends a distance d along the init
PHYS 1C DISCUSSION
INDUCTANCE
Problem 1. A small loop of wire with radius a lies a distance z above the center of a large loop with radius b.
The planes of the loops are parallel. By considering the case in which current I ows in the big loop, nd the
mutu
Physics 1C
Winter Quarter 2009
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 ! ! Bin
Physics 1C W. Gekelman
Class Notes Sixth Week
Winter 2009 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
A bat flies toward a wall, emitting a steady sound of frequency 2.00
kHz. This bat hears its own sound plus the sound reflected by
the wall. How fast should bat fly in order to hear a beat
frequency of 10.0 Hz?
To produce 10 Hz beat, the bat hears 2000 Hz
Physics 1C Lecture 3
Midterm Examination 1
Information sheet
Topics
The exam will consist of 3 problems, one each from the following general topics/chapters:
1. Magnetic elds and forces on charges, currents [Ch. 27, excluding section 9 (Hall eect)]
2. Sou
Chapter 34, example problems:
(34.14) spherical concave mirror, with |R| = 32.0 cm, gives f = +16.0 cm (+ sign because
for a concave mirror the focal point is in front of the mirror). s = 12.0 cm.
(1/12.0 cm) + (1/s ) = (1/16.0 cm), giving
1/s = 1/16.0 cm
Chapter 35, example problems:
(35.02) Two radio antennas A and B radiate in phase. B is 120 m to the right of A. Point
Q along extension of line AB. 40 m to the right of B. Frequency and wavelength
can be varied.
A
B
Q
(a) Destructive interference at Q. L
Physics 1C Lecture 3, Spring 2014
Midterm Examination 1
October 24, 2014
Exam rules: Please do not forget to write your name and student ID on the
front of the exam! No electronic gadgets of any kind, and the exam is closed book and
closed notes. Any nume
PHYS 1C DISCUSSION
MAGNETIC FIELDS AND AMPERES LAW
Problem 1. An innitely long cylindrical conductor of radius R carries current I uniformly distributed throughout
its volume. Find the magnetic eld of the conductor inside (0 r < R) and outside (r > R).
Pr
PHYS 1C DISCUSSION
MAGNETIC FIELDS AND AMPERES LAW
Problem 1. An innitely long cylindrical conductor of radius R carries current I uniformly distributed throughout
its volume. Find the magnetic eld of the conductor inside (0 r < R) and outside (r > R).
So
Fundamental Constants
0 = 4 107 T m/A
c=
& 0 = 8.85 1012 C2 /(N m2 )
1
= 3.00 108 m/s
0 0
Kinematics with Constant Acceleration (s = x or y) & Centripetal Acceleration
1
s (t) = s0 + v0s t + as t2
2
vs (t) = v0s + as t
ac =
v2
= 2 r
r
Electric and Magnet
Summer [A] 2015
Dr. Menachekanian
Physics 1C: Practice Midterm 1
You have
85
minutes for this practice exam, there are
9
pages (including the cover and formula pages) and
it is intended to be closed book and closed notes. The use of any form of electronic
Summer [A] 2015
Dr. Menachekanian
Physics 1C: Practice Midterm 2
You have
90
minutes for this practice exam, there are
10
pages (including the cover and formula pages) and
it is intended to be closed book and closed notes. The use of any form of electroni
Equations to be memorized
~
F~ = Q ~v B
I
~ = 0
~ dA
B
(2)
~ B
~ = 0
(3)
~ = 0 I
~ dl
B
(4)
~ B
~ = 0 J~
(5)
I
~
~ = 0 I dl r
dB
4
r2
~
~ E
~ = B
t
I
~
~ dA
=
B
E =
1
d
dt
(1)
(6)
(7)
(8)
(9)
Physics 1C Homework Problem Set No. 3
Due in Lecture on Friday, January 30.
1. The Bohr magneton, B , is a measure of the magnetic dipole moment of an electron.
Its value is:
e~
(1)
B =
2 me
where e is the charge on an electron, ~ is Plancks constant divi