ES Chapter 18, Problem 14 GO 04 The drawings show three charges that have the sa
ID: 3307725 • Letter: E
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ES Chapter 18, Problem 14 GO 04 The drawings show three charges that have the same magnitude but may have different signs. In all cases the distance d between the charges is the same. The magnitude of the charges is Iql=7.9 pC, and the distance between them is d=5.3 mm. Determine the magnitude of the net force on charge 2 for each of the three drawings. 08 09 19 ld n 30 m 36 m 39 m 79 (a) F= Study (b) F= (c) F= GO TUTORIAL All Rights Reserved. A Division of I Privacy Policy 12000-2018 John Wiley & Sons, Inc, ntExplanation / Answer
(A) due to 1: F1 = k q^2 / d^2 to the left
due to charge 3: F3 = k q^2 / d^2 to theleft
net force, F2 = F1 + F3 = 2 k q^2 / d^2 to the left
{ k q^2 / d^2 = ( 9 x 10^9) (7.9 x 10^-6)^2/(5.3 x 10^-3)^2
= 19996 N }
F = 2 x 19996 = 39992 N Or 4 x 10^4 N
(B) due to 1: F1 = k q^2 / d^2 to the right
due to charge 3: F3 = k q^2 / d^2 to the left
net force, F2 = F1 - F3 = 0
magnitude = 0
(C) due to 1: F1 = k q^2 / d^2 to the left
due to charge 3: F3 = k q^2 / d^2 downward
net force, F = sqrt(F1^2 + F3^2) = sqrt(2) k q^2 / d^2 to the left
F = 28280 N Or 2.83 x 10^4 N
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