A +7.00 µC particle is located at x = 0.0 cm, and a –9.0 μC particle is located at x = 40.0 cm. Where must a positive test charge be placed along the x–axis so that the net electric force on it is zero?

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter18: Electric Charge And Electric Field
Section: Chapter Questions
Problem 42PE: (a) Find the total electric field at x = 1.00 cm in Figure 18.52(b) given that q =5.00 nC. (b) Find...
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A +7.00 µC particle is located at x = 0.0 cm, and a –9.0 μC particle is located at x = 40.0 cm. Where must a positive test charge be placed along the x–axis so that the net electric force on it is zero?

Hint: In a FBD, place the test charge left of x = 0 cm, in between the two source charges, and right of x = 40 cm. Sketch the direction and relative magnitude of the net force at each location and determine where it might be possible for the net force to be zero. Then set the magnitudes of the forces equal to each other.

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