Step by step with explanation -Electric Force Calculation

Question

Step by step with explanation -Electric Force Calculation

It looks like you're asking about the electric force on a charge in a given configuration. The configuration involves several charges arranged at different positions and angles. To calculate the force on the 1.0 nC charge, you'll need to calculate the electric forces from each of the other charges and then combine them using vector addition.

Given the information you've provided, let's break down the calculation step by step:

- k is Coulomb's constant (8.9875 x 10^9 N m²/C²)

- q1 and q2 are the magnitudes of the charges

Calculate the magnitude of the force:

F1 = (8.9875 x 10^9 N m²/C²) * ((1.0 x 10^-9 C) * (6.0 x 10^-9 C)) / (0.05 m)^2

F2 = (8.9875 x 10^9 N m²/C²) * ((2.0 x 10^-9 C) * (2.0 x 10^-9 C)) / (0.05 m)^2

Fx3 = F3 * cos(45°)

Fy4 = (8.9875 x 10^9 N m²/C²) * ((1.0 x 10^-9 C) * (5.0 x 10^-9 C)) / (0.05 m)^2

Now, calculate the total x and y components of the force on the 1.0 nC charge:

Fy, N = Fy_total

Certainly, let's perform the calculations step by step.

F1 = (8.9875 x 10^9 N m²/C²) * ((1.0 x 10^-9 C) * (6.0 x 10^-9 C)) / (0.05 m)^2

F1 ≈ 5.3925 x 10^-4 N

F3 ≈ 2.155 x 10^-4 N

Fx2 = F2 * cos(45°) ≈ 1.527 x 10^-4 N

Fy4 = (8.9875 x 10^9 N m²/C²) * ((1.0 x 10^-9 C) * (5.0 x 10^-9 C)) / (0.05 m)^2

Fy4 ≈ 1.349 x 10^-4 N

Fx ≈ 3.054 x 10^-4 N,

Fy ≈ 4.602 x 10^-4 N