Solution:What is the Electric Field for Two Point Charges on a Line?

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SUMMARY

The discussion focuses on calculating the electric field at point P due to two point charges, q1 = 1.00 µC and q2 = -1.00 µC, separated by 4 meters. The electric field contributions from both charges are summed vectorially, with the positive charge contributing 2.25 x 103 N/C and the negative charge contributing -2.25 x 103 N/C. The correct approach emphasizes the vector nature of electric fields, leading to the conclusion that the net electric field at point P is zero. Additionally, the electric force on a charge of -1.00 µC placed at P can be computed using the resultant electric field.

PREREQUISITES
  • Understanding of Coulomb's Law and electric fields
  • Familiarity with vector addition in physics
  • Basic knowledge of point charges and their interactions
  • Ability to apply the formula for electric field E = k * q / r2
NEXT STEPS
  • Study vector addition of electric fields in multiple charge systems
  • Learn about electric field lines and their representation
  • Explore the concept of electric force using F = qE
  • Investigate the effects of charge placement on electric field strength
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Students in physics, particularly those studying electromagnetism, as well as educators looking for practical examples of electric field calculations involving multiple point charges.

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Homework Statement


Consider two point charges placed on a line:

q1=1.00uc_______<2m>_________P_______<2m>________q2=-1.00uc

q1=1.00uc
q2=-1.00uc
r=2m

a) Find the electric field E at the position P *hint: bring + at P. Ep=Ep1+Ep2
b) Using the above E, find the electric force on the charge q=-1.00uc placed at P.
c) Check your answer F of (b) by computing directly F.

Homework Equations


(kq1/r12^2)

The Attempt at a Solution


I attempted to solve and with the charge acting on q1, I got 2.25X10^3 N/C. For the charge acting on q2, I received the answer -2.25X10^3 N/C. I figure this isn't correct since I need to use something other than 0 when these are added to figure out part b. Thanks for your help in advance!
 
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:) you are right this is not zero ..

hint : remember that the electric field is a vector , and remember that the electric field produced from a positive charge is not the same as the negatice charge, check this figure:


http://img684.imageshack.us/img684/3059/38165338.jpg



try to draw the electric field vector produced by both the positive and the negative charges , what will you get?
 
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