dy & Practice en Assignment PRINTER VERSION Chapter 18, Problem 16 GO Acharge +q

Question

dy & Practice en Assignment PRINTER VERSION Chapter 18, Problem 16 GO Acharge +q is located at the origin, wnie an dertical change islocated on the r as at x-a89 m. Athird charge of +2isoene, on the ras at ken a pace that the na sectoare fore an the charge a at the onigin doubles, its direction remaining unchanged. Where should the third charge be located? Units hthema estern al Probiem 95 the tolerance is +/-2% the tolerance is +/2% Question Attempts: O of 3 used SAVE FOR LATE 8. Prablem 25 ults.by.Study Capervr62000-20 is by brin wiey & Sors,nc.or reuted compare, Al rights reserved. 3 4 5 8 0

Explanation / Answer

apply the formula for force between the charges is F = Kq1q2/r^2

K is cosnatnt = 9e9

here there are three charges q1 at origin and q2 at 0.89m

and q3 at unknown distance, let this be x from origin

so

intial force at Origin due to q2 is

F12 = (9e9 * q * q)/(0.89 * 0.89)

F12 = 11.36 q^2 *10^9 N

now Fnet = 2F12 = F12 + F23

Fnet = 2* 11.36 q^2 e9    = ( (9e9 * q * q)/(0.89 * 0.89)) + (9e9 * q*2q*/x^2)

22.72 q^2 e9 = 11.36 q^2 e9 + 18 q^2 e 9 /x^2

22.72 -11.36 = 11/x^2

18/x^2   = 11.36

x^2 = 18/11.36

x^2   = 1.584

x = 1.258 m   is the location of second charge from origin

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