5 . Suppose the charge q 2 inthe figure can be moved left or right along the lin

Question

5. Suppose the charge q2 inthe figure can be moved left or right along the line connecting thecharges q1 and q3. Giventhat q = +17 µC, find the distance fromq1 where q2 experiences anet electrostatic force of zero? (The chargesq1 and q3 are separated bya fixed distance of 30 cm.) cm

6. Find the magnitude of the net electrostaticforce exerted on the point charge q2 in thefigure. Let q = +2.2 µC and d = 43 cm. N

8. Three charges are placed at the vertices ofan equilateral triangle of side a = 0.65 m, as shown inthe figure. Charges 1 and 3 are +6.7 µC; charge 2 is -6.7µC. Find the magnitude of the net force acting on charge 3. N

4. When two identical ions are separated by adistance of 3.5x10^-10 m, the electrostatic force eachexerts on the other is 7.5x10^-9 N. How many electronsare missing from each ion? 5. Suppose the charge q2 inthe figure can be moved left or right along the line connecting thecharges q1 and q3. Giventhat q = +17 mu C, find the distance fromq1 where q2 experiences anet electrostatic force of zero? (The chargesq1 and q3 are separated bya fixed distance of 30 cm.) cm 8. Three charges are placed at the vertices ofan equilateral triangle of side a = 0.65 m, as shown inthe figure. Charges 1 and 3 are +6.7 mu C; charge 2 is -6.7 mu C. Find the magnitude of the net force acting on charge 3. N 6. Find the magnitude of the net electrostaticforce exerted on the point charge q2 in thefigure. Let q = +2.2 mu C and d = 43 cm. N

Explanation / Answer

Set the distance from Q1-Q2 = x. And Q2-Q3= 2d-x
Use the equation E=kq/r2 and E= E1 + E2
Set E1 = E2 .. or in this case,
kq/(x)2 = k3q/(2d-x)2
cancel out like terms (k, q) .. d you are given in thequestion.
solve for x. (hint: you will have to resort to quadraticequation)

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