xample 19.1 Where ls the Net Force Zero? charges lie along the x axis as shown p
ID: 1576689 • Letter: X
Question
xample 19.1 Where ls the Net Force Zero? charges lie along the x axis as shown point nre 19.8. The positive charge q1 = 15.0 0is Three Figure 19.8 (Example 19.1) Three point charges are placed along the x axis. If the resultant force acting on gs is zero, the force Fis exerted by q, on gs must be equal in magnitude and opposite in direction to the force Fg exerted by 72 on 93- origin, n, and the net force acting on qs is zero. tthe 2.00-x-. hat is the x coordinate of q? OLUTION f2 91 nceptualize Because qs is near two other charges, it experiences two electric forces, The forces lie along the same line as d in Figure 19.8. Because 9s is negative and q and qg are positive, the forces Fi, and Fz are both attractive.Explanation / Answer
use,
|F23| = |F13|
k*q2*q3/x^2 = k*q1*q3/(2-x)^2
q2/x^2 = q1/(2-x)^2
(2-x)^2/x^2 = q1/q2
(2-x)^2/x^2 = 15/6
(2-x)/x = sqrt(15/6)
2-x = 1.581*x
2 = 2.581*x
==> x = 2/2.581
= 0.775 m
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