Two charges +2 µC and +8 µC are placed along the z axis, with the first charge at the origin (z = 0) and the second charge at z = +1 m. Find the magnitude and direction of the net force on a -2 nC charge when placed at the following locations below. Overall Hint Review Section 5.3 Coulomb's Law. Use Coulomb's Law to calculate force due to each of two charges and add them together for the net force, minding the directions. For part (c), you will need to do the vector sum (more below). a. halfway between the two charges: magnitude of force is direction is Select an answer b. on the z axis at z = -0.5 m: magnitude of force is mN, and the mN, and the direction is Select an answer V c. at the coordinate (x, y) = (1 m, 0.5 m) (half a meter above the +8 µC charge in a direction perpendicular to the line joining the two fixed charges):

Two charges +2 µC and +8 µC are placed along the z axis, with the first charge at the origin (z = 0) and the second charge at z = +1 m. Find the magnitude and direction of the net force on a -2 nC charge when placed at the following locations below. Overall Hint Review Section 5.3 Coulomb's Law. Use Coulomb's Law to calculate force due to each of two charges and add them together for the net force, minding the directions. For part (c), you will need to do the vector sum (more below). a. halfway between the two charges: magnitude of force is direction is Select an answer b. on the z axis at z = -0.5 m: magnitude of force is mN, and the mN, and the direction is Select an answer V c. at the coordinate (x, y) = (1 m, 0.5 m) (half a meter above the +8 µC charge in a direction perpendicular to the line joining the two fixed charges):

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

Two charges +2 µC and +8 µC are placed along the z axis, with the first charge at the origin (z =0) and
the second charge at z = +1 m. Find the magnitude and direction of the net force on a -2 nC charge
when placed at the following locations below.
Overall Hint
Review Section 5.3 Coulomb's Law. Use Coulomb's Law to calculate force due to each of two charges and
add them together for the net force, minding the directions. For part (c), you will need to do the vector
sum (more below).
a. halfway between the two charges: magnitude of force is
direction is Select an answer
b. on the axis at x = -0.5 m: magnitude of force is
is Select an answer
c. at the coordinate (x, y) = (1 m, 0.5 m) (half a meter above the +8 µC charge in a direction
perpendicular to the line joining the two fixed charges):
Hint for (c)
This problem is fully 2-dimensional. The charge at x = 1 m exerts force along y direction; the
charge at the origin exerts force along the line connecting (x, y) = (0,0) and
(z,y) = (1 m, 0.5 m). Express each force vector in terms of x and y components; add the
components together; and calculate the magnitude of the resultant using Pythagorean theorem and
use tan(0) = to find the direction (draw the force diagrams to make sure your direction makes
F₂
sense).
Magnitude of force is
degrees below - axis.
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Step 2: Determine the force when third charge is placed in betwen the two charges.

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Step 3: Determine the net force on Q=-2nC when x=-0.50m

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Step 4: Determine the net force when Q is placed at (1m,0.50m)

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