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Article #1814Re: Do you include a +/- when giving a magnitude?
From: Jim Hetrick
Date: Mon, 27 Sep 1993 21:16
Date: Mon, 27 Sep 1993 21:16
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2208 bytes
Thus Spake chem:
|> Hi. I know this group is for sharing resources but I need
|> some help from human resources. Being a novice high school
|> Physics teacher, I've come across some problems with those
|> pesky positive and negative signs with Coulomb's Law.
|> Would I say to the students that two unlike charges experience
|> an attractive force of -1 N (for example) or +1 N. Can the magnitude
|> of ANYTHING have a negative sign in front of it? Thanks for any
|> information. I appreciate it. Marsh Carroll
|> internet: chem@uwpg02.uwinnipeg.ca
I think the crucial thing to convey about the force is that it is
a *vector* quantity, ie. has a magnitude and a direction. Thus for a
charge of +Q at the origin, a test charge of +q at (x,y,z) feels
the force
Qq * r_vec /4 pi r^3 = Qq(x,y,z)/4 pi r^3; r^2 = x^2 + y^2 + z^2
If q is on the x axis, then
F = Qq(x,0,0)/4 pi x^3
which points away from the origin. If q < 0 (-q), then
F = -Qq(x,0,0)/4 pi x^3 = Qq(-x,0,0)/4 pi x^3
which points toward the origin. The magnitude in each case is Qq/4 pi r^2.
[sorry about units; c = 1 in the above].
Cheers, Jim
--
<>------------------------------<>---------------------------------<>
James E. Hetrick Institute for Theoretical Physics
hetrick@phys.uva.nl University of Amsterdam
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 16cfd8,70ccbad800523744 X-Google-Attributes: gid16cfd8,public X-Google-ArrivalTime: 1993-09-28 02:03:56 PST Path: arc1-ca.pugleaf.net!gmd.de!xlink.net!howland.reston.ans.net!agate!doc.ic.ac.uk!pipex!uunet!mcsun!sun4nl!news.sara.nl!news.sara.nl!hetrick Newsgroups: bit.listserv.physhare Subject: Re: Do you include a +/- when giving a magnitude? Message-ID: <HETRICK.93Sep27221613@gauge.phys.uva.nl> From: hetrick@gauge.phys.uva.nl (Jim Hetrick) Date: 27 Sep 1993 21:16:12 GMT Reply-To: hetrick@phys.uva.nl References: <26SEP93.23253433@uwpg02.uwinnipeg.ca> Distribution: world Organization: Institute for Theoretical Physics, Amsterdam, the Netherlands Nntp-Posting-Host: gauge.phys.uva.nl In-reply-to: chem@uwpg02.uwinnipeg.ca's message of Mon, 27 Sep 1993 05:25:34 GMT Lines: 38