Point charge q1 = -6.00 ×10^-6 C is on the x-axis at x = -0.200m. Point charge q2 is on the x-ax

Name: Problem 66, Chapter 21: University Physics with Modern Physics
Uploaded: 2019-08-13T06:12:17-08:00
Duration: 4 min 1 s
Channel: Ze-Han Lee
Description: Point charge q1 = -6.00 ×10^-6 C is on the x-axis at x = -0.200m. Point charge q2 is on the x-axis at x = +0.400 m. Point charge q3 = +3.00 ×10^-6 C is at the origin. What is q2 (magnitude and sign) (a) if the net force on q3 is 6.00 N in the +x-direction; (b) if the net force on q3 is 6.00 N in the -x-direction?

step 1 All right, so for this problem, we have this setup, Q1, Q3, and Q2. And this is the x -axis, thi

Question

Point charge $q_1 = -6.00 \times \space 10^{-6}$ C is on the $x$-axis at $x = -0.200\space \mathrm{m}$. Point charge $q_2$ is on the $x$-axis at $x = +0.400 \space \mathrm{m}$. Point charge $q_3 = +3.00 \times \space 10^{-6}$ C is at the origin. What is $q_2$ (magnitude and sign) (a) if the net force on $q_3$ is $6.00 \mathrm{N}$ in the $+x-\mathrm{direction}$; (b) if the net force on $q_3$ is $6.00 \mathrm{N}$ in the $-x-\mathrm{direction}$?

   Point charge $q_1 = -6.00 \times \space 10^{-6}$ C is on the $x$-axis at $x = -0.200\space \mathrm{m}$. Point charge $q_2$ is on the $x$-axis at $x = +0.400 \space \mathrm{m}$. Point charge $q_3 = +3.00 \times \space 10^{-6}$ C is at the origin. What is $q_2$ (magnitude and sign) (a) if the net force on $q_3$ is $6.00 \mathrm{N}$ in the $+x-\mathrm{direction}$; (b) if the net force on $q_3$ is $6.00 \mathrm{N}$ in the $-x-\mathrm{direction}$?

University Physics with Modern Physics

Hugh D. Young 14th Edition

Chapter 21, Problem 66

Instant Answer

Solved by Expert Ze-Han Lee

08/13/2019

Step 1

The force exerted by a point charge is given by Coulomb's law: $F = k \frac{|q_1q_2|}{r^2}$, where $k = \frac{1}{4\pi\epsilon_0}$ is Coulomb's constant, $q_1$ and $q_2$ are the charges, and $r$ is the distance between the charges. The direction of the force is Show more…

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Point charge $q_1 = -6.00 \times \space 10^{-6}$ C is on the $x$-axis at $x = -0.200\space \mathrm{m}$. Point charge $q_2$ is on the $x$-axis at $x = +0.400 \space \mathrm{m}$. Point charge $q_3 = +3.00 \times \space 10^{-6}$ C is at the origin. What is $q_2$ (magnitude and sign) (a) if the net force on $q_3$ is $6.00 \mathrm{N}$ in the $+x-\mathrm{direction}$; (b) if the net force on $q_3$ is $6.00 \mathrm{N}$ in the $-x-\mathrm{direction}$?