Coulomb's Law Question grade 12

In summary, the problem involves three point charges, q₁= -5.00 μC, q₂= -4.00 μC, and q₃ which is negative, arranged on three corners of a square with side length a=0.500 m. The direction of the force on q₁ is at +20.0° with respect to the +x axis. Using the formula F = kq1q2/r², the magnitude of q₃ is calculated by equating the two forces exerted on q₃ by q₁ and q₂, resulting in F(1 on 3) = 1.69 x 10^5 x q₃ and F(2 on 3)
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jbjohnybaker
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Homework Statement



Three point charges, q₁= -5.00 μC, q₂= -4.00 μC, and q₃ which is negative are arranged as shown on three corner of side a=0.500 m. The direction of the forces on q₁ is at +20.0° with respect to the + x axis. Calculate the magnitude of q₃. The diagram looks something like this:
---------(-) q2
| (square) |
| (square) |
| (square) |
(+)------(-) q3
q1

Homework Equations



F = kq1q2
------
r^2

The Attempt at a Solution


I used the above formula and I put q3 as a variable. I found the two forces, the first one which is what q1 exerts on q3 and the second which is what q2 exerts on q3:

F(1 on 3) = 1.69 X 10^5 x (q3)
F (2 on 3) = 1.44 x 10^5 x (q3)

But then I'm stuck...
 
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Related to Coulomb's Law Question grade 12

1. What is Coulomb's Law?

Coulomb's Law is a fundamental principle in physics that describes the electrostatic interaction between two charged particles. It states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

2. How is Coulomb's Law mathematically represented?

Coulomb's Law is represented by the equation F = k(q1q2) / r2, where F is the force between the two particles, k is the proportionality constant, q1 and q2 are the charges of the particles, and r is the distance between them.

3. What is the SI unit of charge used in Coulomb's Law?

The SI unit of charge used in Coulomb's Law is the coulomb (C). One coulomb is equal to the charge of approximately 6.241 x 1018 protons or electrons.

4. How does the force between two charged particles change as the distance between them changes?

The force between two charged particles decreases as the distance between them increases. This is because the inverse square relationship in Coulomb's Law means that the force decreases exponentially as the distance increases.

5. What is the significance of Coulomb's Law in the study of electricity and magnetism?

Coulomb's Law is a crucial concept in the study of electricity and magnetism as it explains the fundamental force between charged particles. It also serves as the basis for other important concepts, such as electric fields and electric potential energy.

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