1. A state function for a Van der Waals gas is given by an equation between thermodynamic
variables that depend on model parameters A,B, and a physical constant R:
AN2
(p+ V,
)(VNB) = NRT
where AN 2 / V2 is referred to as the internal pressure due to th
6.163 Strobe Project Laboratory
Sample quiz
1
Your camera is loaded with ASA 400 film. You need to take a flash-only photograph in a
laboratory in which you cannot turn off the lights. Using a light meter you determine that
the ambient light would produce
3 185 Problem Set 1
Math Review
Due Monday September 9 2002
1. Calculate the dot product (scalar) and outer product (matrix) for the vectors (10, 5, 6) and (3, 4, 5).
(10)
2. For the time-dependent temperature eld:
T = 400
50z exp
x2
t
y2
(a) Calculate it
Exercise 2. l
i't state fuuetlsn fer a the tier Wests gas is given lay an equati-an between thermedynamie variables
that depend en model parameters :1, B. and a physiral eenstaut It:
a at?
w
[11+ jft' NE] _ ear {I}
1arhere .rlr'i'fl is referred te as th
Massachusetts Institute of Technology
Department of Electrical Engineering and Computer Science
6.013 Electromagnetics and Applications
Problem Set #2
Fall Term 2005
Issued: 9/13/05
Due: 9/21/05
_
Reading Assignment: Sections 1.5, 2.1, 2.4, 2.5 of Electro
Massachusetts Institute of Technology
Department of Electrical Engineering and Computer Science
6.013 Electromagnetics and Applications
Problem Set #3
Fall Term 2005
Issued: 9/20/05
Due: 9/28/05
_
Reading Assignment: 2.2, 2.7
Problem 3.1
The superposition
1. Decomposition of poly(vinyl chloride) (20)
Poly(vinyl chloride), or PVC, like many other polymers, is subject to degredation reactions at high
temperatures. In the case of PVC, HCl is evolved when a monomer in the chain undergoes the reaction
(C2H301)
6.013/ESD.013J Electromagnetics and Applications
Fall 2005
Problem Set 3 - Solutions
Prof. Markus Zahn
MIT OpenCourseWare
Problem 3.1
A
The idea here is similar to applying the chain rule in a 1D problem:
d
dx
1
f (x)
=
d
df
1
f (x)
df
f (x)
= 2
,
dx
f (x
Massachusetts Institute of Technology
Department of Electrical Engineering and Computer Science
6.013 Electromagnetics and Applications
Problem Set #2 SOLUTION
Fall Term 2005
Problem 2.1
a.
By the divergence theorem;
i( A )dV = ( A )ida
V
where S enclose
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Ie'.'I'.'I|£.'-i.|!l.|!T|.f-I.: with Her r1}:}r|'2r.'az.iz'mt u! thr' _r,rrurrr1£:fzr.'-
6.163 Strobe Project Laboratory
Sample quiz
1
Your camera is loaded with ASA 400 film. You need to take a flash-only photograph in a
laboratory in which you cannot turn off the lights. Using a light meter you determine that
the ambient light would produce