Calculating Electric Force on q3 in Meters: A Superposition Approach

Click For Summary
SUMMARY

The discussion focuses on calculating the electric force on charge q3 (13 microC) using the superposition principle. The forces from charges q1 (60 microC) and q2 (-34 microC) are analyzed, with the net force expressed as F(net on 3) = F13 + F23. The user initially calculated the x and y components of the forces incorrectly due to rounding errors and significant figure mismanagement, specifically using r13 = 2.2 m and r23 = 2 m. Correcting these values and ensuring proper significant figures resolved the discrepancies.

PREREQUISITES
  • Understanding of Coulomb's Law for electric forces
  • Familiarity with the superposition principle in physics
  • Knowledge of vector decomposition into x and y components
  • Ability to calculate distances using the Pythagorean theorem
NEXT STEPS
  • Review Coulomb's Law and its application in electric force calculations
  • Study the superposition principle in electrostatics
  • Practice vector decomposition techniques in physics problems
  • Learn about significant figures and their importance in scientific calculations
USEFUL FOR

Students studying electrostatics, physics educators, and anyone involved in solving problems related to electric forces and charge interactions.

veevee
Messages
7
Reaction score
0
(x,y) axis in meters

q1=60microC (0,1)
q2=-34microC (2,0)
q3=13microC (2,2)

Fx3=? Fy3=?

i used superposition
F(net on 3)=F13+F23

broke it down into x and y components
Fx=(kq1q3/r13^2)(x/r13)
Fy=(kq1q3/r13^2)(y/r13) - (kq2q3/r23^2)

plugging in the numbers i got
Fx=1.3
Fy=-0.4

mastering physics says its wrong, and I can't seem to figure out where I went wrong...any suggestions?
 
Physics news on Phys.org
What did you use for r13, r23, x, and y ?

Be careful regarding the direction of the forces.
 
r13=sqrt(x2+y2)=sqrt(4+1)=2.2m

r23=2m

x=2
y=1
 
It might be simply too much round-off error.

(sqrt(5))2 = 5

2.22 = 4.84
 
the problem was i was entering 1 sig fig not 2 for Fy lol...online homework submissions...they'll waste your time for the simplest reasons..thanks though :)))
 

Similar threads

Replies
3
Views
1K
Replies
17
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
6K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 4 ·
Replies
4
Views
6K
  • · Replies 3 ·
Replies
3
Views
6K
  • · Replies 9 ·
Replies
9
Views
4K
Replies
3
Views
10K