Calculating the Electric Potential Difference of a Helium Balloon

AI Thread Summary
To calculate the electric potential difference of a helium balloon rising in an electric field, use the formula ΔV = -EΔd, where E is the electric field strength and Δd is the change in distance. The electric field near the Earth's surface is 150 N/C and directed downward. The charge of the balloon is irrelevant for this calculation. The uniformity of the electric field allows for this straightforward application of the formula at both initial (d = 0m) and final (d = 600m) positions. Understanding the relationship between electric potential and electric fields is crucial for solving such problems.
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:
\Delta V = - E \Delta d
 
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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.
 
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