Phy sics 7B
WS M7 (rev. 2.1)
Page 1
M-7. Displacement Current and Maxwells Equations
Part 1: Displacement Current
I D = "0 r r d $ E # dA dt surface
Questions for discussion (Part 1)
!
1. In the version of A mperes Law that we have bee n working with up t
Physics 7A
Oscillations lab, v.5.0
p. 1
Name _ Partner(s) _ Lab Day/Time _
LAB 6: OSCILLATIONS
Introduction
Because simple harmonic motion involves so much mathematics, its easy to lose sight of the fundamental p hysics . This lab focuses on the most impo
Phy sics 7B
Answers for E3 ( rev. 3.0)
Page 1
E-3. Gausss Law
Questions for discussion
1. Using what you know about the electric field , write d own some rules for ele ctric field lines. Electric field lines can only start ( end) at positive (nega tive) c
Phy sics 7B
WS T4 ( rev. 3.0)
Page 1
T-4. The First Law of Thermodynamics
The First Law of Thermodynamics Eint = Qinto gas Wby gas
W12,by gas =
V2
V1
" pdV
Questions for discussion
!
In the following, you may assume tha t all of the p rocesses described a
Physics 7A
Collisions lab, v. 5.0
p. 1 of 8
NAME _ Date _
PARTNER'S NAME _ Lab Day/Time _
GSI _
LAB 4: COLLISIONS
Lab I ntroduction
This lab investigates collisions, both elastic and inelastic. By understanding these different kinds of collisions, you can
Phy sics 7B
WS E7 (rev. 3.0)
Page 1
E-7. DC Circuits
Questions for discussion
1. The figure below shows a cutaway view of two curre nt-carrying wires, a thick one and a thin one .
In the thick wire, electrons are moving with a spe ed of 3 cm/sec. In the t
Phy sics 7B
WS E3 (rev. 3.0)
Page 1
E-3. Gausss Law
"E =
$ E # dA =
S
r
r
Qenc %0
Questions for discussion
1. Using what you know about the electric field , write d own some rules for ele ctric field lines.
!
2. Consider a pair of point charges Q, fixed i
Phy sics 7B
WS T3 ( rev. 3.0)
Page 1
T-3. Heat Transfer: Conduction and Radiation
Part 1: Heat Flow by Conduction
Summary The rate of heat flow by co nduction, H, through an obje ct of cro ss-sectional area A, length , and thermal co nductivity k is given
Physics 7A
Waves lab
p. 1 of 5
NAME _ PARTNER _ DATE _ GSI _ LAB DAY/TIME _
WAVES
Introduction
In this lab, you will investigate some of the characteristics of waves. Any general insights about slinky waves apply to other kinds of waves, including sound w
Physics 7BLab 1: Thermodynamics (v.2.5)Page 1
NAME: _ SECTION DAY/TIME: _ GSI: _ LAB PARTNER: _
Lab 1: Thermodynamic cycles and engines
Introduction
As presented in textbooks, heat engines and refrigerators can seem very theoretical. The point of this lab
Physics 7A
Dynamics Lab, v.5.0
p. 1
Name _ Partner _ Date _ GSI _ Lab Day/Time _
Lab 3: Dynamics
Introduction
This lab has two purposes. First, starting in the prelab, youll address increasingly difficult versions of a standard examlevel force problem abo
Physics 7B
Lab 5, Intro to oscilloscope, v.1.8
p. 1
NAME: _ SECTION D AY/TIME: _ GSI: _ LAB PARTNERS : _
Lab 5: Introduction to Oscilloscope and Time Dependent Circuits
Introduction
In this lab, youll learn the ba sics of how to u se an oscilloscope. Then
Math 54 Quiz 5
Mike Hartglass November 6, 2010
1.) Consider the matrix 120 A = 3 1 2 . 1 5 2 Find bases for the null space and the column space of A. 120 This matrix can be row reduced to 0 7 2 so by writing the appropriate aug000 mented matrix and solvin
Physics 7B
Charge-to-mass: e/m
p. 1
NAME: GSI:
_
DL SECTION NUMBER: _ LAB PARTNERS: _
_
MAGNETISM LAB: The Charge-to-Mass Ratio of the Electron
Introduction
In this lab you will explore the motion of a charged particle in a uniform magnetic field, and det
Phy sics 7B
WS E2 Challenge Solution (rev. 1.0)
Page 1
E-2 Challenge Problem - Solution
Electric Field of a Dipole
In this challe nge p roble m we de rive the form of the electric field ve ry far fro m an ele ctric dipole . Start with two charges, +q and
Physics 7B
Lab 3, DC circuits, v. 2.1
p. 1 of 4
NAME: _ SECTION DAY/TIME: _ GSI: _ LAB PARTNER: _
Lab 3: Introduction to DC circuits
Introduction
This lab introduces direct-current (DC) circuits, focusing on c onceptual understanding. On a later worksheet
Phy sics 7B
WS E1 (rev. 3.0)
Page 1
E-1. Coulombs Law
Questions for discussion
1. Coulombs Law for the electrostatic force between two point charge s is F = q Q 4 "#0 r . (0 is constant, equal to 8.8510-12 C2/Nm2, which determines the relative strength of
Math 54 Quiz 6
Mike Hartglass November 6, 2010
1.) Find P and D with P invertible and D diagonal such that A = P DP 1 or explain why this is impossible. 13 A= . 35 The characteristic polynomial for A is t2 6t 4 = (t 3)2 13 so we see that 2 13 3 it has roo
Math 54 Quiz 7
Mike Hartglass November 6, 2010
1 1 3 0 and 1 . 1.) Let W be the subspace of R spanned by the vectors 0 1 a.) Find an orthogonal basis for W . 1 1 Setting x1 = 0 and x2 = 1 using Gram Schmidt gives v1 = x1 and v2 = 0 1 0 0 1 2 ,v1 x2 x1 ,v
Phy sics 7B
Answers for E1 ( rev. 3.0)
Page 1
E-1. Coulombs Law
Questions for discussion
1. Coulombs Law fo r the electrostatic force between two point charges is F = q Q 4 "#0 r2 . ( 0 is constant, equal to 8.8510-12 C2/Nm2, which determines the relative
Math 54 Quiz 8
Mike Hartglass November 6, 2010
13 . Find matrices Q and D where Q is an or31 thogonal matrix, D is a diagonal matrix and A = QDQ1 .
1.) Consider the matrix A =
The characteristic polynomial is (t 1)2 9 so its roots are 2 and 4. For t = 2,
Math 54 Discussion Section Problems
Mike Hartglass August 30, 2010
You should work on the following problems in groups of 3 or 4. Try to get through as many as you can, but you arent expected to nish everything. In fact, the answers are largely unimportan
Phy sics 7B
WS E2 (rev. 3.5)
Page 1
E-2. Electric Fields
Summary An electric force requires two charges. An electric field is produced by a single charge.
Questions for discussion
1. Sketch the electric field created by each of the following point charge
Math 54 Discussion Section Problems
Mike Hartglass August 27, 2010
You should work on the following problems in groups of 3 or 4. Try to get through as many as you can, but you arent expected to nish everything. In fact, the answers are largely unimportan
Physics 7B
Equipotential lines, v.2.0
p. 1
NAME: _ SECTION DAY/TIME: _ GSI: _ LAB PARTNERS: _
Equipotential lines and electric fields
Introduction
This lab gets at one of the most difficult concepts in the course: electric potential, and its relationship
Math 54 Quiz 2
Mike Hartglass September 17, 2010
1.) (3 points) Let S = cfw_, , ., be a subset of Rn . Without using the phrase v1 v2 vn linearly independent, dene what it means for the set S to be linearly dependent. The set S is linearly dependent exa
Phy sics 7B
WS T1 ( rev. 2.0)
Page 1
T-1. Ideal Gases: The Ideal Gas Law and Internal Energy
Part 1: The Ideal Gas Law and the p-V Diagram
Questions for discussion (Part 1)
1. An ideal gas co nfined to a box exe rts p ressure on the walls of the box. Whe