Electric field vector in component form

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SUMMARY

The discussion focuses on calculating the electric field vectors generated by a -12nC charge located at (1.0cm, 0cm) at three specified positions: (5.0cm, 0cm), (-5.0cm, 0cm), and (0cm, 5.0cm). The electric field equations used are based on the formula E = k(q/r²), where k is the electrostatic constant. The calculated electric fields for the first two positions are -6.8x104 i N/C and 3.0x104 i N/C. The challenge lies in determining the electric field at (0cm, 5cm) and understanding the sign conventions for the electric fields due to the negative charge.

PREREQUISITES
  • Understanding of electric field concepts and vector notation
  • Familiarity with Coulomb's Law and the formula E = k(q/r²)
  • Knowledge of coordinate systems in physics
  • Basic skills in vector addition and component analysis
NEXT STEPS
  • Calculate electric fields for various charge configurations using E = k(q/r²)
  • Learn about vector components and how to express electric fields in component form
  • Study the implications of charge signs on electric field direction
  • Explore the concept of superposition in electric fields for multiple charges
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding electric fields and their calculations in component form.

miyayeah
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Homework Statement


A -12nC charge is located at (x,y) = (1.0cm, 0cm). What are the electric fields at the positions (x,y) = (5.0cm, 0cm), (-5.0cm, 0cm), and (0cm, 5.0cm)? Write each electric field vector in component form.

Homework Equations


E=k(q/r2)

The Attempt at a Solution


I was able to find the magnitude of the electric fields at the first two positions, but I am not sure how to find the last one. Also, how would you define the signs in this case for the first two electric fields? The answer for the first two were: -6.8x104 i N/C, 3.0x104 i N/C.
 
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miyayeah said:
I was able to find the magnitude of the electric fields at the first two positions, but I am not sure how to find the last one.
Please show your work. What is the problem in finding the field strength for the last case in comparison to the previous two?

miyayeah said:
Also, how would you define the signs in this case for the first two electric fields?
For a negative charge, the field points towards the charge. For a positive charge, the field points away from the charge.
 
Like Mr. Oroduin said above, the field points towards the charge, but what's your problem here? Can you find distance from point (0cm;5cm) to the point charge?
 

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