Question

What is the force F⃗ on charge q = 1.4 nC in the middle of (figure 1) due to the four other charges? Give your answer in component form. Option 1: (-2.516 * 10^-5, 2.516 * 10^-6) N Option 2: (2.516 * 10^-5, -2.516 * 10^-6) N Option 3: (0, 0) N Option 4: (2.516 * 10^-6, 2.516 * 10^-5) N

Answer 1

To find the force on a charge in the middle of the figure, we need to calculate the net force due to the four other charges. The force between two charges is given by Coulomb's Law. We can calculate the forces between the middle charge and each of the four other charges, and then combine them to find the net force in component form.

Step-by-step explanation:

To find the force on a charge in the middle of the figure, we need to calculate the net force due to the four other charges. The force between two charges is given by Coulomb's Law:

F = k * |q1 * q2| / r^2

where F is the force, k is the Coulomb's constant, q1 and q2 are the charges, and r is the distance between the charges.

We can calculate the forces between the middle charge and each of the four other charges, and then combine them to find the net force in component form.

Answer 2

To calculate the force on the charge in the middle, we use Coulomb's Law to calculate the forces due to each of the four other charges and then add them up.

Step-by-step explanation:

To calculate the force on the charge in the middle, we need to calculate the forces due to each of the four other charges and then add them up. The formula to calculate the force between two charges is given by Coulomb's Law: F = k * (q₁ * q₂) / r², where F is the force, q₁ and q₂ are the charges, r is the distance between the charges, and k is the electrostatic constant.

Let's calculate the force due to each charge:

1. Force due to q₁: F₁ = k * (q * q₁) / r²
2. Force due to q₂: F₂ = k * (q * q₂) / r²
3. Force due to q₃: F₃ = k * (q * q₃) / r²
4. Force due to q₄: F₄ = k * (q * q₄) / r²

Finally, we can add up these forces to find the total force on the charge.