1
Steady State Circuit Analysis
a b = - E
b c = VR1
c d = VL1
d e = VC1
e a = VR2
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3
4
5
6
7
8
9
10
11
12
13
14
15
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17
18
Grounding
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Electrolytic capacitors
There is one class of passive components that you do need to be careful about, namel
pn Junctions
An electron jumping to the right to fill the empty
hole is equivalent to the hole jumping to the left.
Since the hole is the absence of an electron it
represents a net positive charge moving in a
direction opposite to the corresponding electr
Single Transistor Amplifiers
1
Well use what I will call the model for low frequency transistor operation. This is a
small signal approximation to transistor operation, allowing us to use linear circuit analysis.
2
3
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5
6
7
rD
rD
8
9
10
11
12
13
14
15
16
1
Time domain response of simple circuits
2
3
4
5
6
7
Resonant circuits (ubiquitous in high frequency electronics)
8
VC t q / C Vin Vin e
Q 1
0t
2Q
cos 0 t
9
VC(t)
NOTE: The first part of Equ(3) below appears in various forms all over
these solutions. To see where it comes from, please read the expanded
solution for Homework 6, Problem 3 (second-last line of equations).
Phys 326 Problem Set No.7 Solutions
Di Zhou
1
Physics 326 Homework #7
due FRIDAY, 1 pm
For todays homework, the Formula Collection you may use without proof is the entire set of formulae
provided before the first problem of Discussion 7. That includes the two equations at the end for r0 and e in
ter
Physics 326 Homework #6
due FRIDAY, 1 pm
Here is our growing collection of useful formulae concerning the two-body central force problem.
mm
! ! m !
! ! m !
Coordinates & Reduced Mass : r1 = R + 2 r ,
r2 = R 1 r ,
= 1 2
M
M
M
2
2
!
L
L
Centrifugal for
Physics 326 Homework #8
due FRIDAY, 1 pm
The Formula Collection you may use without proof is the entire set of formulae provided before the first
problem of Discussion 8. Everything else, you must derive here. For numbers,
Earth Data: radius of the eart
Homework 2 Solution
Q1 Triple Pendulum (Princeton)
Write the Eagrangian of the system using coordinates (p1, p2,p3 (see
i h' - Sol-.353)- ' g '
5'1 = asin (p1 $2 = a(sinqp1 + sin <p2) ' m3 = a(sin<p1 + sin (p; + sin (p3)
,5,1 = acos (p1 y2 = 0(008 $1 +
Physics 427 Problem Set #6
Due Monday, April 18, 2016
1. Schroeder 7.22 (3 pts) (Relativistic electron gas)
2. A metal can be considered a Fermi sea of electrons bound to a lattice of positive
ions. The Fermi energy EF is an amount W below the energy of a
Physics 427 Problem Set #4
Due Tuesday, March 15, 2014
1. Schroeder 7.44 ( a 3 pts, b,c 3 pts ) - Number of photons in a box
2. Schroeder 7.64 ( a 3 pts, b 3 pts, c 3 pts , d 3 pts ) - Spin waves
3. ( 3 pts ) Two infinite plates are parallel to each other
Physics 326 Homework #1
due in course homework box by Fri 1 pm
All solutions must clearly show the steps and/or reasoning you used to arrive at your result. You will lose points
for poorly written solutions or incorrect reasoning. Answers given without e
Physics 427, Problem Set #3 solutions
Prob. 1
Prob. 2
Adiabatic expansion of a mixture of ideal gases.
Let f1 and f2 be the number of quadratic degrees
of freedom for each gas. U is the total energy.
Using equipartition,
Prob. 3
Prob. 5
So
x0 (H2) = 3.82.
Physics 427, Problem Set #3
Due Friday, March 4, 2016
1. (3 pts) Show, using the canonical ensemble, that if a container contains a
mixture of several different ideal gases, the total pressure is the sum of the partial
pressures. The partial pressure of a
Phys 326 Midterm #2 Spring 2016
Physics 326 Midterm Exam #2 Spring 2016
Thursday Apr 14, 12:30 pm 1:50 pm
This is a closed book exam. No use of calculators or any other electronic devices is allowed. Work the
problems only in your answer booklets only. Th
Physics 427 Problem Set # 5
Due Friday, April 8, 2016
1. A container of volume V at temperature T contains a gas of N neon atoms. Neon atoms can also bind
to absorption sites on the walls of the containe
Physics 326 Homework #12 Solution
Problem 1 : The Schwarzschild Radius = The Event Horizon of a Black Hole
(a) And now for the bizarre demonstration that even though Newtonian gravity breaks down maximally at the
event horizon of a black hole, a Newtonian
Physics 427 Problem Set #5 Solutions
Prob. 1.
a. (3 pts)
b. (3 pts)
Prob. 2. (3 pts )
Gibbs Sum for an ideal gas
Prob. 3. (3 pts)
Concentration fluctuations
Prob. 4. (3 pts) Saha equation with spin degeneracy
Prob. 5. (3 pts) Enumeration of quantum states
Phys 326 Problem Set No.5 Solutions
Di Zhou
1
Problem 1 : The Foci of an Ellipse
(a) If we set up a cartesian coordinate and put those two focal points at the x-axis, one at (+c, 0) and the
other at (c, 0), at any point of the ellipse, (x, y), since the t
Physics 326 Homework #9
due Friday, 1 pm
Heres a summary of our formulae so far related to the inertia tensor:
y 2 + z 2 xy
xz
2
2
I ij = dm( ij r ri rj ) = dm
z +x
yz
2
x + y2
Principal Axes e : I e = e
2
(
)
(
B)
I( B) =I(CM
+ I =M i
Physics 326 Homework #13 Part B
due WEDNESDAY May 4, 5 pm
Fourier Series as an Inner Product Space
Space : f -periodic functions f(t) that are periodic over t = [ / 2 / 2] , with = 2 /
sin(n t) n = 1,.,
! Real Basis : n 1 / 2
n=0
cos(n t) n = 1,
Physics 326 Homework #12
Due FRIDAY, 1 pm
All solutions must clearly show the steps and/or reasoning you used to arrive at your result. You will lose points
for poorly written solutions or incorrect reasoning. Answers given without explanation will not