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8) A +7.00 µC point charge and -9.00 µC point charge are placed along the x-axis at x = 0.000 cm and x = 40.0 cm, respectively. Where must a third charge, q, be placed along the x-axis so that it does not experience any net electric force due to the other two charges? А) -2.99 m В) -0.200 m C) 0.187 m D) 2.99 m E) -0.187 m

8) A +7.00 µC point charge and -9.00 µC point charge are placed along the x-axis at x = 0.000 cm and x = 40.0 cm, respectively. Where must a third charge, q, be placed along the x-axis so that it does not experience any net electric force due to the other two charges? А) -2.99 m В) -0.200 m C) 0.187 m D) 2.99 m E) -0.187 m

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 22P
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0.000 cm and 8) A +7.00 µC point charge and -9.00 µC point charge are placed along the x-axis at x x = 40.0 cm, respectively. Where must a third charge, q, be placed along the x-axis so that it does not experience any net electric force due to the other two charges? A) -2.99 m B) -0.200 m C) 0.187 m D) 2.99 m E) -0.187 m
Transcribed Image Text:0.000 cm and 8) A +7.00 µC point charge and -9.00 µC point charge are placed along the x-axis at x x = 40.0 cm, respectively. Where must a third charge, q, be placed along the x-axis so that it does not experience any net electric force due to the other two charges? A) -2.99 m B) -0.200 m C) 0.187 m D) 2.99 m E) -0.187 m
Expert Solution
Step 1

Charge at A, q1 = 7×10-6 CCharge at B, q2 = -9×10-6 CCharge at C = q

All the 3 charges are located on the x-axis with xA = 0 cm; xB = 40 cm

Therefore, the distance between the 2 charges will be

rAB = 40 cm = 0.4 m

Let the charge C be somewhere between the charges A & B, such that the distance between A & C is s.

rAC = s mrBC = (0.4-s)m

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