A charge of + q is located atthe origin, while an identical charge is located on

Question

A charge of +q is located atthe origin, while an identical charge is located on the xaxis at x = 0.50 m. A thirdcharge of +5q is located on the x axis at such a place thatthe net electrostatic force on the charge at the originquintuples, its direction remainingunchanged. Where should the third charge be located?
A charge of +q is located atthe origin, while an identical charge is located on the xaxis at x = 0.50 m. A thirdcharge of +5q is located on the x axis at such a place thatthe net electrostatic force on the charge at the originquintuples, its direction remainingunchanged. Where should the third charge be located?

Explanation / Answer

Force between the charges at the origin and the charge locatedat x = +0.5 m is F1 = k(q2/x2) The force between the charge at the origin and the charge +5qis F2 = k(q * 5q)/(x +x1)2 Here,F2 = 4F1 Therefore,we get (4kq2/x2) = (5kq2/(x +x1)2) or 5x = ±2 (x + x1) or x1 = [(5 + 2)/2 ] x Plug the values and solve it Force between the charges at the origin and the charge locatedat x = +0.5 m is F1 = k(q2/x2) The force between the charge at the origin and the charge +5qis F2 = k(q * 5q)/(x +x1)2 Here,F2 = 4F1 Therefore,we get (4kq2/x2) = (5kq2/(x +x1)2) or 5x = ±2 (x + x1) or x1 = [(5 + 2)/2 ] x Plug the values and solve it

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