Calculating the Electric Potential Difference of a Helium Balloon

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Homework Help Overview

The discussion revolves around calculating the electric potential difference associated with a helium balloon that has a specified charge and rises vertically in an electric field. The subject area includes concepts of electric fields and electric potential in the context of electrostatics.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definition of electric potential and its relationship to the electric field. Questions are raised about the uniformity of the electric field at different heights and the relevance of the balloon's charge to the potential difference calculation.

Discussion Status

The discussion is active, with participants questioning assumptions about the electric field's uniformity and exploring the implications of the balloon's upward movement in a downward-directed field. Some guidance has been offered regarding the formula for electric potential difference.

Contextual Notes

Participants are considering the implications of the electric field being uniform and the charge of the balloon in relation to the potential difference calculation. There is an acknowledgment of the balloon's movement in the context of the electric field's direction.

Jchem
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I'm learning about charge right now and I have no idea how to start this one.. any help is appreciated.


A helium balloon has a charge of q = 5.5 x 10^-8. It rises vertically into the air. d = 600m. from the surface of the Earth to final position A. The electric field that normally exists in the atmosphere near the surface of the Earth has a magnitude E = 150 N/C and is directed downward. What is the difference in electric potential between the two positions?
 
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What's the definition of electric potential? How does it relate to the field? (Hint: The charge on the balloon is irrelevant.)
 
Jchem said:
The electric field that normally exists in the atmosphere near the surface of the Earth has a magnitude E = 150 N/C and is directed downward.

Is this true for d = 0m and d = 600m ?

if so i think I could solve it using:

V= Ed
 
Jchem said:
Is this true for d = 0m and d = 600m ?
Yes, assume the field is uniform.

if so i think I could solve it using:

V= Ed
Right!

A more accurate way to write this is:
[tex]\Delta V = - E \Delta d[/tex]
 
Last edited:
I note that, even though the electric field is pointing downwards, the positively charged balloon moves upwards, unless and until it decelerates and comes to rest but that a different case.
 
Last edited:

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