Electrostatic equilibrium problem

In summary, the conversation is about someone asking for help with understanding a problem involving an electric field outside of a sphere. The expert explains that the electric field of a sphere is equivalent to that of a point charge and provides a formula for calculating it. The person then asks why the situation is impossible, and the expert points out that the calculated value does not match the value on the graph.
  • #1
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Homework Statement
Please see below.
Relevant Equations
Please see below
For this problem,
1675051831178.png

I don't understand why this is impossible. Can someone please help?

Many thanks!
 
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  • #2
What would be the magnitude of the electric field just outside the sphere?
 
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  • #3
kuruman said:
What would be the magnitude of the electric field just outside the sphere?
Thank you for your reply @kuruman ! The electric field of a sphere is equivalent to that of a point charge so ## E = \frac {40 \times 10^{-9}k_e}{0.15^2} ##

Many thanks!
 
  • #4
So why is the situation impossible?
 
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  • #5
kuruman said:
So why is the situation impossible?
Thanks for your reply @kuruman ! Thinking... Its got to me something to do with the electric field.
 
  • #6
Callumnc1 said:
Thanks for your reply @kuruman ! Thinking... Its got to me something to do with the electric field.
Yes. Look at the plot and then look at your post #3.
 
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  • #7
kuruman said:
Yes. Look at the plot and then look at your post #3.
Oh thanks @kuruman ! The calculated value for the electric field at the surface of the charge is not equal to that value on the graph.
 

FAQ: Electrostatic equilibrium problem

What is electrostatic equilibrium?

Electrostatic equilibrium is a condition in which the net electric field within a conductor is zero. This occurs when the charges within the conductor have redistributed themselves in such a way that there is no further movement of charge. In this state, the electric potential is constant throughout the conductor.

How do charges distribute themselves in electrostatic equilibrium?

In electrostatic equilibrium, excess charges reside on the surface of a conductor. The charges arrange themselves in such a way that the electric field inside the conductor is zero. The surface charge density can vary, being higher at points with smaller radii of curvature (sharper points) due to the higher repulsive forces between like charges.

Why is the electric field inside a conductor zero in electrostatic equilibrium?

The electric field inside a conductor is zero in electrostatic equilibrium because the free electrons within the conductor move in response to any internal electric field. These movements continue until they cancel out the internal electric field, resulting in no net movement of charge and thus a zero electric field within the conductor.

What happens to the potential difference in a conductor at electrostatic equilibrium?

In electrostatic equilibrium, the potential difference within the conductor is zero. This means that the electric potential is the same at every point inside the conductor. Any differences in potential would cause charges to move, but in equilibrium, no such movement occurs, ensuring a uniform potential throughout.

How does electrostatic equilibrium affect the behavior of conductors in an external electric field?

When a conductor is placed in an external electric field and reaches electrostatic equilibrium, the free charges within the conductor move to counteract the external field. This results in an induced surface charge distribution that creates an internal electric field opposing the external one, ultimately canceling it out inside the conductor. The conductor effectively shields its interior from the external electric field.

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