Calculating the Electric Potential Difference of a Helium Balloon

In summary, the conversation is about solving for the difference in electric potential between two positions using the formula V = Ed. The relevance of the charge on the balloon is discussed and it is mentioned that the field is uniform. The conversation also mentions a more accurate way to write the formula and notes that the direction of the balloon's movement may be opposite to the direction of the electric field.
  • #1
Jchem
28
0
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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  • #2
What's the definition of electric potential? How does it relate to the field? (Hint: The charge on the balloon is irrelevant.)
 
  • #3
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
 
  • #4
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]
 
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  • #5
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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1. How is the electric potential difference of a helium balloon calculated?

The electric potential difference of a helium balloon is calculated by multiplying the charge of the balloon by the distance between the balloon and the reference point. This can be represented by the formula V = Q/d, where V is the electric potential difference, Q is the charge of the balloon, and d is the distance between the balloon and the reference point.

2. What factors affect the electric potential difference of a helium balloon?

The main factors that affect the electric potential difference of a helium balloon are the charge of the balloon and the distance between the balloon and the reference point. Other factors that may have a smaller impact include the atmospheric conditions and the material of the balloon.

3. Can the electric potential difference of a helium balloon be negative?

Yes, the electric potential difference of a helium balloon can be negative. This occurs when the charge of the balloon is negative, resulting in a negative value for V. A negative electric potential difference means that the balloon is at a lower electric potential than the reference point.

4. How does the electric potential difference of a helium balloon affect its behavior?

The electric potential difference of a helium balloon determines how it behaves in relation to other objects in its surroundings. A higher electric potential difference will cause the balloon to repel positively charged objects and attract negatively charged objects. A lower electric potential difference will have the opposite effect.

5. Why is it important to calculate the electric potential difference of a helium balloon?

Calculating the electric potential difference of a helium balloon is important for understanding its behavior and interactions with other objects. It can also be useful in determining the safety of handling the balloon, as a high electric potential difference can lead to electric shocks. Additionally, knowing the electric potential difference can help in predicting the movement and stability of the balloon.

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