How Do Point Charges Affect Force on a Charge Along the X-axis?

Click For Summary
SUMMARY

The discussion focuses on calculating the total force exerted on a third charge, q_3 = 47.0nC, located between two point charges, q_1 = -15.0nC at x_1 = -1.745m and q_2 = 38.5nC at the origin (x = 0). The equations used for force calculations are F_1 = q_1*q_3/(4π*ε₀*r_1²) and F_2 = q_2*q_3/(4π*ε₀*r_2²), where ε₀ = 8.85*10^-12 C²/N*m². The user struggles with the calculations and seeks guidance to identify errors in their approach.

PREREQUISITES
  • Understanding of Coulomb's Law for electric forces
  • Familiarity with the concept of point charges
  • Knowledge of the permittivity of free space (ε₀)
  • Basic algebra for solving equations
NEXT STEPS
  • Review the calculations for F_1 and F_2 using correct values for q_1, q_2, and q_3
  • Learn about vector addition of forces in electrostatics
  • Study the implications of charge signs on force direction
  • Explore the concept of electric field and its relation to force on charges
USEFUL FOR

Students studying electrostatics, physics enthusiasts, and anyone involved in calculating forces between point charges in electric fields.

wingit132
Messages
1
Reaction score
0
Two point charges are located on the x axis: one charge q_1 = -15.0nC located at x_1 = -1.745m , and a second charge q_2 = 38.5nC at the origin.What is the total force along the x axis, including sign, exerted by these two charges on a third charge q_3 = 47.0nC placed between q_1 and q_2 at x_3 = -1.160m ? Use 8.85*10^-12 C^2/N*m^2 for the permittivity of free space.

I have set up the equations F_1 =q_1*q_3/4pi*e_0*r_1^2 and F_2 =q_2*q_3/4pi*e_0*r_2^2
q_1=-1.5*10^-8C
q_2=3.85*10^8C
q_3=4.7*10^8C
r_1=.585m
r_2=1.160m

It tells my I have the wrong answer but I just need a push in the right direction.

Thanks
 
Physics news on Phys.org
Hi wingit, welcome to PF.
Please show your calculations. Unless we see your calculations, we are not in a position to
say where you went wrong.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
Replies
14
Views
3K
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 13 ·
Replies
13
Views
3K
Replies
21
Views
2K
Replies
3
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K