Exam -3, fall 2016
PHSX 235
Name:
-(I)- Select the correct answer
1. For small angle approximations
a. the angle must be 10 or less
b. the angle must be 1 or less
c. the angle must be 45 or less
ANS: A
PTS: 1
DIF: Easy
2. In an interference pattern, the w
1.An ideal gas is allowed to undergo a free expansion. If its initial volume is V1 and its final volume is V2, the
change in entropy is
a. nR ln (V2/V1)
b. nRT ln (V2/V1)
c. nk ln (V2/V1)
ANS: A
PTS: 1
DIF: Easy
2.An ideal heat engine can have an efficien
Exam -1, fall 2016
PHSX 235
Name:
-(1)- Complete the following:
1-When the acceleration of a block is proportional to its position, and the direction of the
acceleration is opposite the direction of the displacement of the block from equilibrium.
The bloc
Physics 262
Homework #1
Show your work.
Before doing this weeks homework, I encourage you to review some concepts from Physics 262. Make sure that you can do the following exercises
from H&H: 1.1, 1.2, 1.3 (p. 6); 1.6 (p. 7), 1.10 (p. 13), 1.12 (p. 23), 1
Physics 262
Homework #5
Show your work.
For design problems, work to within 5% of specications.
1. For the plots in this problem, free to use any sort of graphing application, or draw neatly by hand. Put all of the functions on the same
axes so that you c
Physics 262
Homework #4
Show your work.
For design problems, work to within 5% of specications.
1. Design an active high pass lter that minimizes the distortion of waveforms with frequency greater than 1 kHz, but suppresses frequencies
below 100 Hz by at
Physics 262
Homework #3
Show your work.
For design problems, work to within 5% of specications.
1. Design an example circuit with only passive components (L, R, C) to
deomonstrate that it is possible to have gain > 1 without an amplier
at 1 kHz. Could thi
Physics 262
Homework #2
Show your work.
For design problems, work to within 5% of specications.
1
1. Design a passive RC low pass lter with cuto frequency f1 = =
2
20 kHz. We will call this lter 1. Calculate the gain G1 (f ) and phase
1 (f ).
2
2. Design
Physics 262
Homework #6
Show your work.
For design problems, work to within 5% of specications.
1. H&H exercise 1.27 (p.46).
2. The circuit pictured below is designed to draw a nearly constant current
for any applied voltage, V1. Most of the current ows t
Physics 262
Homework #7
Show your work.
For design problems, work to within 5% of specications.
1. Complete the table by performing the appropriate conversions.
Binary
11100
10101
Hex
1C
Decimal
28
AC
19
169
2. Which of the following is true about the sta
Physics 262
Homework #11
Show your work.
Read the safety label on the laser that we will be using for the laser light
show, and then answer the following questions.
1. What class is the laser? What is the output power (W)?
2. Assuming a beam diameter of 2
Physics 262
Homework #10
Show your work.
In class, we saw that diode bias (left side of each gure, below) can
eliminate crossover distortion in a push-pull amplier. Unfortunately, this
circuit loads the input, so the gain depends on the impedance, Rin , o
Physics 262
Homework #9
Show your work.
In error analysis, we distinguish between systematic and random error.
Systematic error is predictable, the same every time. If a measurement of
some quantity x includes a series of systematic errors ( 1 , 2 , 3 .),
Physics 262
Homework #8
Show your work.
For design problems, work to within 5% of specications.
below is the circuit for a d-type ip-op, also called a latch. It has a single
data line, D, the value of which gets stored when the clock, C, is pulsed.
P
D
Q
Physics 425, Spring 2012
Assignment set #1
Due Jan 18:
1. In this problem, you will study the boundary conditions of the
electric and magnetic fields. Suppose that we measure the
electric field and magnetic field across a surface dividing two
linear mater
Physics 425, Spring 2012
Assignment set #6
Due February 15:
13. In this problem, you will study wave dispersion in a dielectric
insulating media whose electric susceptibility E is a complex
function of the EM wave frequency as:
q2
1
E =
m 0 0 2 2 i
(
)
wh
Physics 425, Spring 2012
Assignment set #7
Due February 24:
16. The electromagnetic fields between two parallel conducting
E
E = E0e i( kzt ) x , B = 0 e i( kzt ) y . Now consider
plates are given as
c
that we roll the two plates into infinitely long co-a
Physics 425, Spring 2012
Assignment set #5
Due February 8:
10. Griffiths Problem 9.19
Due February 10:
11. Griffiths Problem 9.21
Due February 13:
12. Turn in the last part of Quiz 2: sunlight traveling from air is
normally incident upon a conducting surf
Physics 425, Spring 2012
Assignment set #4
Due Feb 1:
7. Griffiths Problem 9.35: note that you can use the conclusion of
the assignment Problem 6.
Due Feb 3:
8. Griffiths Problem 9.17
Due Feb 6:
9. Griffiths Problem 9.16
Physics 425, Spring 2012
Assignment set #2
Due January 20:
2. Suppose that the electric field in an electromagnetic wave is
E
E (r , t ) = 0 sin(kz t )( x y ) .
2
(a) Prove that this solution satisfies the wave equation.
(b) Find the magnetic field using
Physics 425, Spring 2012
Assignment set #3
Due January 25:
4. Circularly polarized waves: consider a superposition of waves
traveling in the z direction:
E (r , t ) = Re E0e i1 e i( kz t ) x + E0e i 2 e i( kz t ) y
[
(a) find B (r , t ) ;
]
(b) calculate
Physics 425, Spring 2012
Assignment set #8
Due February 29:
18. Griffiths 9.29
Due March 2:
19. Consider a wave guide with a rectangular cross section of
10cm x 5cm. Which TE modes can propagate for angular
frequency 4 GHz? What are the 5 lowest cutoff fr
Physics 425, Spring 2012:
Assignment set #9
Due March 7:
21. Griffiths 10.4
Due March 9:
22. From the class, we find the (approximate) potentials by an
electric dipole
P
as: V ( r , t ) =
1 rP
0 P
, A( r , t ) =
. Find the
4 0c r
4 r
electric and magneti
1
Solutions to Quiz 5
(a) Radiation by moving charges is proportional to a2 . For charges accelerated by the electromagnetic force, there is ma = q (E + v B ), or a 1/m, and a2 1/m2 . Therefore, the light
particles radiate more. Between protons and electr
1
Solutions to Quiz 6
(a) The particles proper time is shorter by a factor of u = 1/
u = 2/2c. In S frame, ux = 0, uy = 2/2c, and uz = 0.
1 u2 /c2 =
(b) We can rst calculate the velocity of the particle in the S frame. Here = 1/
u =
x
2. Therefore,
1 v 2
1
Solutions to Quiz 4
(a) The scalar potential is given by
V (r, t) =
1
40
dl
Since the line charge is lying on the y-axis, and taking into account the retarded potential, we can
further write the above as:
ky cos[ (t /c)]dy
1
V (r, t) =
40
where = [x2 +
1
Solutions to Quiz 3
(a) From the boundary condition, the surface charge is given by f = 0 n E since the electric
eld Eout in the conductor is zero. At x = 0, n = x, and at x = d, n = x, and the electric eld
between the ribbons is normal to the surface E
1
Solutions to Quiz 1
(a) The wave propagates in +z direction. The electric eld vector has an inclination of 450 with
the x-axis. The wave is linearly polarized since the x and y components are in phase, so that the
angle between the electric eld and the
1
Solutions to Quiz 2
(a) From the law of reection and transmission, sin(I )/sin(T = n2 /n1 . In this case, n1 = 1, n2 =
)
1.414, sin(T ) = sin(300 ) = 0.5, so sin(I ) = 1.414 0.5 = 22 , leading to I = 450 . So the sun
observed by David is 450 from zenith
Homework
Read before 1/21/03
Chapter 23.1-23.7
Be prepared to discuss these problems in class (1/21/03)
Q23.3, Q23.4, Q23.12, Q23.14, Q23.16, Q23.24, and Q23.26
Homework Assignment #1 (due 1/22/03 at noon in Phys222 box)
Problems P23.4, P23.8 (sign