Lecture 2 homework:
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[1 point] Analysis. In terms of the fundamental physical quantities
L (length), M (mass), T (time), and Q (charge), what physical dimensions
does inductance have? Simplify your answer as much as possible.
Show explicitly how you derived your answer.
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[1 point each] Analysis. Go through a physics textbook and
look for other defined quantities (example: magnetic field strength, fluid
viscosity) not already discussed in lecture. Express the dimensions
of these quantities in terms of the fundamental quantities LMTQ.
Max points: 5
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[5 points] Small computational project. Teach yourself to
use the unit-conversion capabilities of either emacs calc (my personal
old standby; type M-x calc in emacs at CISE, or see http://www.synaptics.com/people/daveg/
to install) or Mathematica, or some other math package. Turn in a
printout of a log that shows you interacting with whichever math system,
and doing 10 unit conversions, of your own choosing. (Each should
involve different units.)
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[1 point] Exercise. Look up Newton's Laws of classical mechanics
in a physics textbook or on the web, and write them up on paper, in your
own handwriting.
- [5 points] Analysis. Determine the definitions and calculate the
values in SI units of the Planck units of all the derived quantities in slide
5 ("Some derived quantities") of the module 2 slides.