Electric field strength of van de graff generator

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SUMMARY

The discussion centers on calculating the electric field strength produced by a Van de Graaff generator (VDGG) with a dome radius of 0.15m and a potential difference (PD) of 75kV. The charge stored on the generator is 5.0 x 10-6C. The correct formula for electric field strength is E = Q/(4∏ε0r2), leading to a calculated value of 3.0 x 105 V/m, while a participant mistakenly calculated 2.0 x 106 V/m due to an error in squaring the radius. The discrepancy highlights potential errors in the provided equation.

PREREQUISITES
  • Understanding of electric field equations, specifically E = Q/(4∏ε0r2)
  • Familiarity with the Van de Graaff generator and its operational principles
  • Knowledge of electrostatics and charge calculations
  • Basic proficiency in scientific notation and unit conversions
NEXT STEPS
  • Study the derivation and applications of the electric field equation E = Q/(4∏ε0r2)
  • Explore the principles of Van de Graaff generators and their use in physics experiments
  • Learn about the concept of potential difference and its relationship to electric fields
  • Investigate common errors in electrostatic calculations and how to avoid them
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding electrostatics and the operation of Van de Graaff generators.

thisischris
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A VDGG is used to produce a large PD. The dome of the generator has a radios of 0.15m. It is charged and gets a PD between the dome and the Earth of 75kV.

The charged stored on it is : 5.0 x 10-6C

Answer: Use of E = Q/4∏εr0. 3.0 x 105

My attempt: E = kQ/r2 = 8.99 x 109 x 5.0 x 10-6 / 0.152 = 2.00 x 106

I get the provided answer if I don't square the 0.15. It also seems to be a potential print error as r is not squared in their equation as well as having a 0 as a sub-ponent(opposite of exponent?)... Could anyone share any light on this?

Much appreciated :)
 
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Uh what is the question?
 
Sorry, long day!

I get an answer of 2.0 x106, while the provided answer is 3.0 x 105.
 

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