Steps to Applying Gauss Law
To find the E field produced by a charge distribution at a point of
distance r from the center
1. Decide which type of symmetry best complements the
problem
2. Draw a Gaussian surface (mathematical not real)
reflecting the symm
763620SS STATISTICAL PHYSICS
Solutions 2
Autumn 2012
1. Continuous Random Walk
Consider a continuous onedimensional random walk. Let w(si )dsi be the probability
that the length of the ith displacement is between si and si + dsi . Assume that the
displac
Physics 430: Lecture 26
Lagrangian Approach
Dale E. Gary
NJIT Physics Department
11.4 Lagrangian Approach
Carts and Springs
Lets do the problem of two carts and three springs using the
Lagrangian approach, just to show that we arrive at the same two
equat
Physics 430: Lecture 26
Lagrangian Approach
Dale E. Gary
NJIT Physics Department
11.4 Lagrangian Approach
Carts and Springs
Lets do the problem of two carts and three springs using the
Lagrangian approach, just to show that we arrive at the same two
equat
Single Slit Diffraction
Single Slit Diffraction
Bi:
OpenStaxCollege
Light passing through a single slit forms a diffraction pattern somewhat different from
those formed by double slits or diffraction gratings. [link] shows a single slit diffraction
patter
The current density of the copper wire is,
i
j
A
Here, is the current and is the cross sectional area of the wire.
i
A
The cross sectional area of the copper wire is,
2
d
A
2
1
d2
4
Here, is the diameter of the wire.
d
Substitute
1 2
d
4
for
A
in the e
Problem 6.7
Use the differential equation approach to find V0(T) for t>0 in the circuit in Fig P6 and plot the response
including the time interval just prior to switch action.
t= 0
5k
2k
+
12V
200F
4k

Suggested Solution
t= 0
R
R
1
2
+
12V
V c( t)
R
C
V
Problem 6.5
In the network in Fig P6.5, find i0(t) for t>0 using the differential equation approach.
t= 0
6
i0 ( t )
2A
2H
12
4
Suggested Solution
3 2
iL (0 ) 2
A
3 6 3
L
dio (t )
10io (t ) 0
dt
io (t ) K 2 e 5t A
So,
io (0)
Then,
10 6 4
5
2
K2
3
Problem 6.6
In the circuit in Fig P6.6, find i0(t) for t>0 using the differential equation approach.
t= 0
2
3
2H
12V
6
i0 ( t )
Suggested Solution
t= 0
2
3
2H
12V
6
iL ( t )
12
6
(
) 2 A
2 6 /13 3 6
di (t )
di (t ) 9
for t 0 L L RiL (t ) 0 or L iL (t ) 0
Problem 6.4
Use the differential equation approach to find i0(t) for t>0 in the network in Fig P6.4
4K
1K
300F
2K
2K
4A
i0 ( t )
Suggested Solution
4K
2K
1K
300F
2K
4A
i0 ( t )
6 6K
4
( ) A
K 9K
K
4
VC (0 ) 2 K ( ) 8V
K
dV (t ) V (t )
for t 0
C c c 0
dt
2
Problem 6.1
Use the differential equation approach to find VC(t) for t>0 in the circuit in Fig. P6.1
t= 0
+
3Kr

V C tt1
Suggested Solution
3k
) 4V
9k
Vc (t ) 12 cdvc (t )
0
6k
dt
OR
dVc (t ) Vc (t )
12
dt
0.6
Vc (t ) k1 k 2e t / 0.6
Vc (0) 12(
Att ok1
Episode 307: Resonance
Simple harmonic oscillators show resonance if they are forced to vibrate at their natural
frequency. This is a phenomenon of great importance in many aspects of science.
Summary
Discussion: Resonance as a phenomenon. (10 minutes)
De
ENGINEERING
FIRST YEAR
P2: Structural Mechanics, Examples paper 1
tSSUED ON
Straightforward questions are marked t.
Tripos standard questions are marked >1<.
09 OCT 2013
.
Forces, Moments and Couples
t 1.
Figure 1 shows three stationary weights support
Stephen Randall
PHYS 402 Homework #6
6.28 By appropriate modification of the hydrogen formula, determine the hyperfine splitting in the
groundstate of:
a) muonic hydrogen, in which a muonsame charge and gfactor as the electron, but 207 times the
masssub
Lectures 78: Fine and hyperfine structure of hydrogen
o Fine structure
o Spinorbit interaction.
o Relativistic kinetic energy correction
o Hyperfine structure
o The Lamb shift.
o Nuclear moments.
PY3P05
Spinorbit coupling in Hatom
o Fine structure of
Bushong: Radiologic Science for Technologists: 8th Edition
Chapter 24: Fluoroscopy Q& A
1. Fluoroscopy was developed so that radiologists could view _ images.
a. static
b. dynamic
c. magnified
d. darkened
ANS: B Fluoroscopy was developed so that radiolog
Structural Geology (Geol 4013/6013)
Lab Exercise 8
Questions (20)
Foliation
Lineation
Two drill holes intersecting a plane
Name: _
Study Chapter 19 of the Lab Manual by Donal M. Ragan:
Structural Geology, an Introduction to Geometrical Techniques.
Probl
Fluoroscopic Unit (Bushong, chapter 24)
fluoro for dynamic studies; visualizes the motion of internal structures and fluids.
spot films: radiographs taken while fluoroing.
fluoro mA = less than 5 mA
 during image intensified fluoro, tube current is no
Thermal expansion:
AL = an ref.
The new clock period with the additional length:
T: zen/L = 2171i "' = 2171 "+m
E E 3
So if the clock expands with the new change in temperature, it will take longer to complete a cycle and therefore
will be running slow.
2
Solutions to the Exercises
of
Hydrology
An Introduction
(Wilfried Brutsaert)
CAMBRIDGE
UNIVERSITY PRESS
Caution: These solutions have been obtained in one pass, and have not been doublechecked.
Chapter 1
1.1 When all precipitation enters into the soil sur
Energy
Energy production and
consumption, Agriculture and
Chemical Manufacturing
underlie most environmental
issues
freonsstratospheric O3
depletion
CO2global warming
Agricultural run off
contaminating water ways
Urban smog and aerosols
PCB contam
TransformedE&MIhomework
BiotSavartLaw
(GriffithsChapter5)
BiotSavart Law
Question 1 Magnetic field and power lines
Purcell, 610 pg. 246
A 50kilovolt directcurrent power line consists of two conductors 2 meters apart. When
this line is transmitting 10
12.3 Assembly of distinguishable
particles
An isolated system consists of N
distinguishable particles.
The macrostate of the system is defined by (N,
V, U).
Particles interact sufficiently, despite very
weakly, so that the system is in thermal
equilibr
Homework chapter 8
PROBLEMS
Section 8.1 pn Junction Current
8.1 (a) Consider an ideal pn junction diode at T = 300 K operating in the forwardbias region. Calculate the change in diode voltage that will cause a factor of 10
increase in current. (b) Repeat
Electric Field
Calculations for Line
of Charge Problems
Montwood High School
AP Physics C
R. Casao
Electric Field Due to a
Charged Rod on the
Axis of the Rod
The Picture!
Divide the length of the rod L into small
pieces of length dx.
This also divides th
Photon beam characteristics & basic
concepts of treatment planning
Dr. KJ Maria Das
Additional Professor (Medical Physics)
Sanjay Gandhi Postgraduate Institute of Medical Sciences
Lucknow
Learning Objectives
Understanding basic properties of clinical pho
turley (sjt837) HW24 rodenborn (57790)
This printout should have 23 questions.
Multiplechoice questions may continue on
the next column or page find all choices
before answering.
001
10.0 points
1
entropy increases. But block A gains more
entropy than