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MIT Department of Physics
Physics 8.02X
Spring 2005
Solution to Problem Set #9
Problem 1 (20 points) The 1200 dipole magnets of the LHC accelerator at
CERN will have a field of 8 Tesla. Approximate the magnet as two square loops
of dimension 14m x 0.3 m,
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Physics
Physics 8.01T
Fall Term 2004
Practice Exam 2 Solutions
Problem 1: static equilibrium
You are able to hold out your arm in an outstretched horizontal position thanks to the
action of the deltoid m
PROBLEM SET 10; 802x; SPRING 2005
1) The differential equation governing an RLC circuit is:
-Ldi/dt - Ri + q/C = 0. Using i= - dq/dt, we have,
Ld2q/dt2 + Rdq/dt +q/C = 0.
The differential equation governing a mass on a spring is (with velocity proportiona
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.044 Statistical Physics I
Spring Term 2013
Exam #1
Problem 1 (30 points) Quantum Dots
y
L
0
L
x
A complicated process creates quantum dots (also called articial atoms) on the surface of
a square c
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.044 Statistical Physics I
Spring Term 2013
Solutions, Exam #1
Problem 1 (30 points) Quantum Dots
a) Use Bayes theorem: p(x|y) = p(x, y)/p(y). We are given p(x, y) so we must rst nd
p(y).
p(y) =
=
In-Class-Problem 11: Whirling Objects
Two objects of equal mass m are whirling around a shaft with a constant angular
velocity . The first object is a distance d from the central axis, and the second object is
a distance 2d from the axis. You may assume t