Coulomb's Law (Electric Force) Video Lessons

Concept

Problem: Three charges are located as shown in the figure, with values q1 = 4.9x10-16 C, q2 = -1.5x10-16 C, q3 = 6.75x10-16 C. The charges are separated by d1 = 3.9x10-6 m and d2 = 3.9x10-6 m.a. What is the force of q2 on q1 in the x direction, Fx? Give your answer in newtons, and recall k = 8.988 × 109 N m2/C2.b. What is the force of q3 on q1 in the y direction, Fy? Give your answer in newtons.

FREE Expert Solution

We'll determine the forces from Coulomb's law given by:

$\overline{){\mathbf{F}}{\mathbf{=}}\frac{\mathbf{k}{\mathbf{q}}_{\mathbf{1}}{\mathbf{q}}_{\mathbf{2}}}{{\mathbf{r}}^{\mathbf{2}}}}$

a.

The force of q2 on q1 in the x-direction is:

${{\mathbf{F}}}_{{\mathbf{x}}}{\mathbf{=}}\frac{{\mathbf{kq}}_{\mathbf{1}}{\mathbf{q}}_{\mathbf{2}}}{{{\mathbf{d}}_{\mathbf{1}}}^{\mathbf{2}}}$

k = 8.988 × 109 N m2/C2

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Problem Details

Three charges are located as shown in the figure, with values q1 = 4.9x10-16 C, q2 = -1.5x10-16 C, q3 = 6.75x10-16 C. The charges are separated by d1 = 3.9x10-6 m and d2 = 3.9x10-6 m.

a. What is the force of q2 on q1 in the x direction, Fx? Give your answer in newtons, and recall k = 8.988 × 109 N m2/C2.

b. What is the force of q3 on q1 in the y direction, Fy? Give your answer in newtons.