x 2Masteringphysics: Hw01: x D the quadratic formular- El x o In the diagram bel
ID: 250070 • Letter: X
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x 2Masteringphysics: Hw01: x D the quadratic formular- El x o In the diagram below, ther X CA positive point charge a x CHome Ichegg.com x D https://rd8ckw.bn1302 live x Genns D x Course Home C https: masteringphysics.com/myct/itemView?assignmentProblemID D*58568673 PHYS 212: Electricity & Magnetism, Spring 16 Help I Close HW01: Cha e & Coulomb's Law em 8 Resources r previous l 8 of 11 l next Item 8 Part A n the figure, charge q 2.3 x 10-6 C is placed at the origin and charge q 2 6.2 x 10 6 C is placed on the X-axis, atx 0.20 m. Where along the positive x-axis can a third charge Q --8.3 uC be placed such that the resultant force on this third charge is zero? 0.20 m Express your answer using two significant figures. Submit My Answers Give U Continue Provide Feedback A EG 230 PMExplanation / Answer
let x = distance of q3 from the origin ( positive x is to the right)
the forces on q3 by q1 and q2 must be equal, and of opposite direction.
kq1q3/x^2 = kq2q3/(0.2+x)^2
2.3*8.3*10^-12/x^2 = 8.3*8.3*10^-12/(0.2+x)^2
solve for x
--> x = 0.650m ( to the right of q1, only correct solution)
the other solution x = - 0.065 is false, because q3 can not be between q1 and q2 as both forces would point into the same direction. q3 can also not be to the left of q2, because the forces would never be equal.
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