A charge of 23.7 is located at (4.33 m, 5.96 m), and a charge of -10.7 is locate

Question

A charge of 23.7 is located at (4.33 m, 5.96 m), and a charge of -10.7 is located at (-4.55 m, 6.85 m). What charge must be located at (2.21 m, -2.95 m) if the electric potential is to be zero at the origin?

Explanation / Answer

ok, calculate the distance from each given point to zero: distace=sqrt(x^2+y^2), calculte Unit vectors of electric field : (-4.55/mag i + 5.96/mag j) now get electric field on zero : now E=kq/r^2>> plug in values and get E: now at origin do a summation of vectors (as summation of forces) and the resulting field should be canceled >> u get E needed But u have the unit vector from which the charge should be>> solve each part of vector (xcomponent of the rusultance=Ex-needed) and (ycomponent of the rusultance=Ey-needed) plz rate at least helpful, and ask before rating if not clear, thx

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