Electric force due to point charges

In summary, the problem involves 3 point charges, with q1=0.67 microC, q2=-0.67 microC, and q3=1.0 microC, fixed in a right triangle with sides of 10cm and 8cm. The goal is to find the electric force on q3 due to the other two charges, as well as its magnitude and direction measured counterclockwise from the +x axis. Using the equation [k(q1)(q2)]/d^2, with k=8.99e9, the magnitude of the forces from q1 and q2 on q3 are calculated to be 4.7 x 10^-5 N and the direction is
  • #1
dgreen
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Homework Statement


3 point charges are fixed in place in the right triangle shown below, in which q1= 0.67 microC and q2= -0.67 microC. What is the electric force on q3 with +1.0 microC due to the other two charges?
Magnitude?
direction, measured counterclockwise from the +x axis?

**HYP=10cm or .1m (q1-q3)
**Opp=8cm or .08m (q1-q2)

Homework Equations


[k (q1) (q1)]/d^2
k= 8.99e9

The Attempt at a Solution


f13= (8.99e9 * .67e-6 * 1e-6)/ .1^2 <-- shouldn't this provide the magnitude from q1 & q2 on q3?
 
Last edited:
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  • #2
f23= (8.99e9 * -.67e-6 * 1e-6)/ .08^2 <-- and this for q2 & q3?Total F = F13 + F23 = 4.7 x 10^-5 Ntan theta = y/x = .08/.1 = .8theta = 53.1 degrees (counterclockwise from +x axis)
 

1. What is electric force due to point charges?

Electric force due to point charges is the force that exists between two charged particles. It is a fundamental force of nature and is responsible for many phenomena, such as the attraction and repulsion of objects and the formation of electric fields.

2. How is electric force due to point charges calculated?

The electric force due to point charges is calculated using Coulomb's Law, which states that the force between two point charges is directly proportional to the product of the two charges and inversely proportional to the distance between them squared.

3. What is the unit of electric force due to point charges?

The unit of electric force due to point charges is the Newton (N). This is the same unit used to measure other types of forces, such as gravity and friction.

4. Can electric force due to point charges be attractive and repulsive?

Yes, electric force due to point charges can be either attractive or repulsive, depending on the charges of the particles. Oppositely charged particles will attract each other, while particles with the same charge will repel each other.

5. How does the distance between two point charges affect the electric force?

The electric force between two point charges is inversely proportional to the distance between them squared. This means that as the distance between the charges increases, the force decreases. However, the force also depends on the magnitude of the charges, so if the charges are very large, the force can still be significant even at a large distance.

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