Is My Calculation of Electric Field Correct Using the Paint Document?

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SUMMARY

The discussion centers on calculating the electric field using the equations for electric potential and field strength. The user applies the formulas v = kq/r and E = kq/r² but encounters discrepancies in their results. Specifically, they calculate an electric field value of 2500, while the potential difference between circles is noted as non-linear. The correct approach involves using the negative potential gradient, -ΔV/Δd, to accurately determine the electric field by considering both the upper and lower circles in the analysis.

PREREQUISITES
  • Understanding of electric potential and electric field concepts
  • Familiarity with the equations v = kq/r and E = kq/r²
  • Knowledge of potential gradients and their significance in electric fields
  • Basic skills in interpreting graphical representations of electric fields
NEXT STEPS
  • Study the concept of electric potential gradients in electrostatics
  • Learn how to apply the negative gradient formula -ΔV/Δd in electric field calculations
  • Explore the implications of non-linear potential differences in electric fields
  • Review examples of electric field calculations using multiple charge distributions
USEFUL FOR

Physics students, electrical engineers, and anyone involved in electrostatics or electric field calculations will benefit from this discussion.

Miike012
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The question is in the paint doc...

What I did...

1st eq.
v = kq/r

q = vr/k

2nd equ.

E = kq/r^2

where am I going wrong...? For E I am getting 2500
 

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The potential is not linear function of the distance, it changes 25 V from the second circle to the third one, and 50 V from the third circle to the fourth. The electric field is negative potential gradient, -ΔV/Δd. Use both circles, below and above the point shown to get it.

ehild
 

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