The field just outside a metal ball

In summary, the purpose of the metal ball in the field is to create an electric field. This field interacts with the metal ball by causing the electrons within it to move, resulting in a cancellation of the electric field inside. The electric field outside the metal ball can be measured using an electric field sensor. The size of the metal ball does not affect the strength of the electric field outside, but the shape and composition can affect its distribution. Lastly, the electric field outside the metal ball is not constant and is affected by various factors such as distance, environment, and nearby charged objects.
  • #1
Hooke's Law
30
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Homework Statement



The field just outside a 3.22 cm radius metal ball is 2.72×10^2N/C and points toward the ball. What charge resides on the ball?

Homework Equations



E = k*q/r^2



The Attempt at a Solution



q = E*r^2/k

q = ( 2.72*10^2 N/C )* (0.0322 m^2) / 8.99*10^9

= 3.14*10^-11 C


The computer says I'm giving it the wrong answer...is there something wrong with what I did?


Thanks
 
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  • #2
The magnitude of your answer seems correct...thats what Gauss's law gives ...
but i think the charge is negative because the field is pointing towards the ball...try it...
 

FAQ: The field just outside a metal ball

What is the purpose of the metal ball in the field?

The metal ball serves as a conductor and creates an electric field in the space surrounding it.

How does the electric field interact with the metal ball?

The electric field causes the free electrons within the metal ball to move, creating an induced electric field that is opposite in direction to the original field. This results in a cancellation of the electric field inside the metal ball.

Can the electric field outside the metal ball be measured?

Yes, the electric field can be measured using a device called an electric field sensor. This allows us to quantify the strength and direction of the electric field at different points outside the metal ball.

How does the size of the metal ball affect the electric field outside?

The size of the metal ball does not affect the strength of the electric field outside, as long as the ball is large enough to be considered a point charge. However, the shape and composition of the ball can affect the distribution of the electric field.

Is the electric field outside the metal ball constant?

No, the electric field outside the metal ball is not constant. It varies in strength and direction depending on the distance from the ball and the surrounding environment. It is also affected by the charge of the metal ball and any other nearby charged objects.

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