(a) The charges and coordinates of two charged particles heldfixed in the xy pla

Question

(a) The charges and coordinates of two charged particles heldfixed in the xy plane are: q1=9.70 C,x1=-7.100 cm, y1=7.800 cm, andq2=6.50 C, x2=-5.166 cm,y2=17.305 cm, Find the magnitude anddirection of the electrostatic force on q2.

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6.0254×101 N7.8500×101 deg (b) What are the x and y coordinates of a thirdcharge q3=9.50 C, if the net electrostaticforce on q2 is zero? For a lifesaver rating please solve fully and explain asclearly as possible, thanks! (a) The charges and coordinates of two charged particles heldfixed in the xy plane are: q1=9.70 C,x1=-7.100 cm, y1=7.800 cm, andq2=6.50 C, x2=-5.166 cm,y2=17.305 cm, Find the magnitude anddirection of the electrostatic force on q2.

I already have the answer forthis:
6.0254×101 N7.8500×101 deg (b) What are the x and y coordinates of a thirdcharge q3=9.50 C, if the net electrostaticforce on q2 is zero? For a lifesaver rating please solve fully and explain asclearly as possible, thanks! For a lifesaver rating please solve fully and explain asclearly as possible, thanks!

Explanation / Answer

let q3 is at (x3, y3) which must be on the line connecting q1 andq2, (note q1 and q2 are both positive, q3 is outside of q2) the equation of the line is y - y2 = (y2 - y1)*(x - x2)/(x2 - x1),so y3 - y2 = (y2 - y1)*(x3 - x2)/(x2 -x1)              (1) net force on q3 is 0 = kq1*q3/[(x3 - x1)2 + (y3 -y1)2] - kq2*q3/[(x3 - x2)2 + (y3 -y2)2] so [(x3 - x1)2 + (y3 - y1)2]/[(x3 -x2)2 + (y3 - y2)2] = q1/q2       (2) use (1) and (2) to get x3 and y3.

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