What is the force F, on the charge located at x = 8.000 cm in the figure given that q = 2.250 µC? The other two charges are located at 3.000 cm and 11.00 cm. Take the positive direction as pointing to the right. The Coulomb constant is 8.988 × 10° N-m²/C². +q -29 +9 5.000 10.00 x (cm) F = N

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter19: Electric Forces And Electric Fields
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What is the force F, on the charge located at x = 8.000 cm in the figure given that q = 2.250 µC? The other two charges
are located at 3.000 cm and 11.00 cm. Take the positive direction as pointing to the right. The Coulomb constant is
8.988 x 10° N-m?/c?.
+q
-29
+q
+
+
5.000
10.00
x (cm)
Fx =
N
Transcribed Image Text:What is the force F, on the charge located at x = 8.000 cm in the figure given that q = 2.250 µC? The other two charges are located at 3.000 cm and 11.00 cm. Take the positive direction as pointing to the right. The Coulomb constant is 8.988 x 10° N-m?/c?. +q -29 +q + + 5.000 10.00 x (cm) Fx = N
Expert Solution
Step 1

For two charges, the electrostatic force between them is given by Coulomb's Law.

F = kq1q2r2

In the equation r is the distance between the charges, k is the coulomb's constant and q1, q2 are the charges.

 

On the left side the force due to the charge is towards left side that is negative x direction. Force due to the charge on the right side is towards the right that is positive x direction. Thus the total charge -2q is given by:

Fx = -kq2qr12 +kq2qr22

The given charge is q= 2.250 μC   =2.250×10-6C

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