A point charge of-1 C is located at the origin. A second point charge of 8 c is

Question

A point charge of-1 C is located at the origin. A second point charge of 8 c is at x-1 m, y: 0.5 m. Find the x and y coordinates of the position at which an electron would be in equilibrium 1) x = 0.261 m Submit You currently have 1 submissions for this question. Only 3 submission are allowed. You can make 2 more submissions for this question. Your submissions: | 0.261 ·X Computed value: 0.261 Submitted: Friday, March 2 at 2:56 PM Feedback 2) y m Submit You currently have 0 submissions for this question. Only 3 submission are allowed. You can make 3 more submissions for this question.

Explanation / Answer

The electron will lie on the line joining the two points.

since the line passes through origin,

y = kx

also,(1,0.5) lies on the lines,

k=0.5

so,

let the co-ordinate of the line be (x,y).so,

from above we get y = 0.5x

and balancing the forces,

kq1e/r1^2 + kq2r/r2^2 = 0

or q1/r1^2 + q2/r2^2 = 0

or -1/(x^2+y^2) + 8/((x-1)^2+(y-0.5)^2) = 0

solving the above two equations, we get

x = -0.5469

y=2x = -1.0938

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