Maximum Potential and Charge of Generator

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SUMMARY

The maximum potential of a Van de Graaff generator with a radius of 86.0 cm is calculated to be 2.58 × 106 V. Using the formula for electric potential, the charge on the dome at this potential was determined to be 0.000247 C. Despite this calculation, users reported receiving incorrect feedback on their answers, indicating potential issues with the provided answer or the input method. The discussion highlights the importance of verifying calculations and understanding significant figures in scientific notation.

PREREQUISITES
  • Understanding of electric potential and charge relationships
  • Familiarity with the formula Electric Potential = (1/4*pi*e0) * q / r
  • Knowledge of significant figures in scientific notation
  • Basic principles of electrostatics and Van de Graaff generators
NEXT STEPS
  • Review the derivation of the electric potential formula for spherical conductors
  • Learn about the significance of significant figures in scientific calculations
  • Explore troubleshooting methods for common errors in physics problem-solving
  • Investigate the properties and applications of Van de Graaff generators in experiments
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics, educators teaching electric potential concepts, and anyone interested in the practical applications of Van de Graaff generators.

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Homework Statement


A Van de Graaff generator is used to demonstrate the effects of high potential. The device has a radius of 86.0 cm and stands in air. What is its maximum potential? (Note: An electric field of 3 × 106 Vm is sufficiently large to cause sparking in air.)

How much charge does the dome hold at its maximum potential?


Homework Equations


Electric Potential = (1/4*pi*e0) * q / r


The Attempt at a Solution


I already found the maximum potential to be 2.58 * 10^6 V.

For the charge: I substituted 2.58 * 10^6 V into the equation along with the radius.

2.58 * 10^6 V * 4 * pi * e0 * 0.86 m = q
q = 0.000247 C

This wasn't the correct answer.
 
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I too got the same answer. The answer given might be wrong. What's it anyways?
 
I don't know yet. I have about 3 more tries left.

I entered the answer as 0.00025. Could the problem be with my significant figures?

EDIT: Nope, significant figures aren't the problem. 2 tries left.
 
Last edited:
lol... where are you trying them?
Try to answer in scientific notation.
 
I did. It still won't work. I probably got the completely wrong answer.
 
Your answer is right according to me. I have no idea why it is showing wrong.
 

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