
#1
Feb813, 06:52 PM

P: 57

1. The problem statement, all variables and given/known data
Consider the following figure. For the electric dipole shown in the figure, express the magnitude of the resulting electric field as a function of the perpendicular distance x from the center of the dipole axis. (Use the following as necessary: k, q for the charges, x, and d.) 2. Relevant equations E_{t}= E_{1} + E_{2} E = kq/r^{2} 3. The attempt at a solution The x component of the electric fields will cancel out, leaving only the ycomponents. Adding the two vector fields in the ydirection: [kq/r^{2}]sinθ + [kq/r^{2}]sinθ = 2[kq/r^{2}]sinθ r^2 = [d/2 + x^2]^{1/2} My final answer: 2[kq/[d^{2}/4 + x^{2}]^{1/2}]sinθ This is not correct. 



#2
Feb813, 07:05 PM

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#3
Feb813, 07:24 PM

P: 57

It's a lot of algebra, but it comes out to kqd/[(d^{2}/4)+x^{2})]^{3/2}. Does that look right? 



#4
Feb813, 07:29 PM

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Electric Field Due to Dipole Problem 



#5
Feb813, 07:31 PM

P: 57




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