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Re: [Phys-l] induced electric field



The host site cited below (ripway ...) has gone sour.
Now you can download the (improved) MATHCAD file at:

http://www.4shared.com/file/158814508/eed08203/Bowman.html
Bob Sciamanda
Physics, Edinboro Univ of PA (Em)
treborsci@verizon.net
http://mysite.verizon.net/res12merh/

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From: "Bob Sciamanda" <treborsci@verizon.net>
Sent: Tuesday, November 24, 2009 6:27 AM
To: "Forum for Physics Educators" <phys-l@carnot.physics.buffalo.edu>
Subject: Re: [Phys-l] induced electric field

I have written a MATHCAD program to generate a vector field plot of an example of David's solution. The program (to be run on MATHCAD is downloadable at:

http://h1.ripway.com/treborsci/Bowman.MCD

Bob Sciamanda
Physics, Edinboro Univ of PA (Em)
treborsci@verizon.net
http://mysite.verizon.net/res12merh/

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From: "David Bowman" <David_Bowman@georgetowncollege.edu>
Sent: Monday, November 23, 2009 4:39 PM
To: "Forum for Physics Educators" <phys-l@carnot.physics.buffalo.edu>
Subject: Re: [Phys-l] induced electric field -- erratum

Oops!

Again it seems that I made a typo in my posted exact solution. There
was an overall sign error that negates both the E_x and E_y
components for the solution I gave in my last post. Either that or
one could have considered the solution as for the case where the
B-field is increasing at a rate of B' along the (-)z direction
instead of the (+) z direction. The sign-fixed version for B
increasing along the (+)z direction at a rate of B' is given here:

Let A == L/2 - x
Let B == L/2 + x
Let C == L/2 - y
Let D == L/2 + y

E_x = (-B'/(4*[pi]))*(A*ln((A^2 + C^2)/(A^2 + D^2)) +
B*ln((B^2 + C^2)/(B^2 + D^2))+ 2*C(arctan(A/C) + arctan(B/C))
- 2*D(arctan(A/D) + arctan(B/D)))



and

E_y = (B'/(4*[pi]))*(C*ln((A^2 + C^2)/(B^2 + C^2)) +
D*ln((A^2 + D^2)/(B^2 + D^2))+ 2*A(arctan(C/A) + arctan(D/A))
- 2*B(arctan(C/B) + arctan(D/B)))

David Bowman
_______________________________________________
Forum for Physics Educators
Phys-l@carnot.physics.buffalo.edu
https://carnot.physics.buffalo.edu/mailman/listinfo/phys-l

_______________________________________________
Forum for Physics Educators
Phys-l@carnot.physics.buffalo.edu
https://carnot.physics.buffalo.edu/mailman/listinfo/phys-l