(8%) Problem 10: Consider the point charges in the figure. qa the expertta.com A
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(8%) Problem 10: Consider the point charges in the figure. qa the expertta.com A 100% Part (a Find the magnitude of the total Coulomb force in N) on the charge q in the figure, given that q 1.2 HC, qa 1.9 HC, qb -2.7 LLC, qc 5.2 HC, and qd J 1.7 HC. The square is 46 cm on a side Grade Summary IFI Deductions 100% Potential 7 8 9 tan0 Submissions sino cos() HOME Attempts remaining S 4 5 6 cotan0 asino acos0 (2% per attempt) atan acotano sinh0 detailed view 2 3 cosh() tanho cotanh() END Degrees Radians BACKSPACE DEL CLEAR Feedback Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 3 Feedback: O% deduction per feedback.Explanation / Answer
colmb force between the qa and q is
F1 = k qa q/ d^2
d^2 = ( 0.23 m)^2 + ( 0.23 m)^2=0.1058 m^2
F1 = 9* 10^9 ( 1.9 * 10^-6) ( 1.2 * 10^-6)/0.1058 = 0.193 N
F2 = k qb q/ d^2 = 9* 10^9 ( -2.7 * 10^-6) ( 1.2 * 10^-6)/0.1058 = -0.275 N
F3 = k qc q/ d^2 = 9* 10^9 ( -5.2* 10^-6) ( 1.2 * 10^-6)/0.1058 = -0.530 N
F4 = k qd q/ d^2 = 9* 10^9 ( 1.7 * 10^-6) ( 1.2 * 10^-6)/0.1058 = 0.173N
F net force
F = F1 + F2 + F3 + F4 = 0.193 -0.275-0.530+0.173 = -0.439 N
magnitude of force is
F = 0.439 N
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