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Electric fields and charges

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Scholar
Karma Points: 200
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Date Posted: 7/24/2008 2:42:46 AM  Status: Live
Electric fields and charges
Course Textbook Chapter Problem
Calculus Based Physics N/A N/A N/A
Question Details:
A charge q1 of -5.00*10**-6 is located at the origin (0,0), and a second unknown charge q2 is located on the x-axis at (1,0).  The electric field at the point (2,0) is measured to be 3.00*10**4.  What is the charge q2?

I don't know how to solve this problem. 
But I do know that the correct answer is 4.59*10**-6 C. 

Please help me solve this problem, thanks!
Bonus Point Alert! Earn +4 additional karma points for helping this annual member.

Answers:

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Oracle
Karma Points: 15,230
Date Posted: 7/24/2008 3:16:09 AM  Status: Live
Asker's Rating: Lifesaver   
Response:
q1 = -5.00*10-6 C
the electric field at (2, 0) due to q1 is kq1/22 = 9*109*5.00*10-6/4 = 1.125*104 N/C with negative direction.
If q2 is positive charge, the electric field at (2, 0) due to q2 is kq2/12 = 9*109*q2 with positive direction.
If the electric field at (2, 0) = 3.00*104 N/C with positive direction, then
3.00*104 = 9*109*q2 - 1.125*104
then q2 = 4.59*10-6 C
ihrtnyc's Comment:
Great, very helpful



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