Determine the polarizability of a wire segment.

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In summary, the conversation discusses a problem involving a spherical metal ball with a negative charge and a short, thin, neutral copper wire. The goal is to determine the polarizability of a wire segment with a length of 0.0105 m. Relevant equations are provided, but the person is struggling to find a solution due to the abundance of variables. They are seeking input to help solve the problem.
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Homework Statement



The center of the spherical metal ball of
radius R, carrying a negative charge -Q, is
located a distance r from the center of a short,
thin, neutral copper wire of length L. The
induced charges at the two ends of the wire is
±q. Determine the polarizability of the wire
segment which has a length L = 0.0105 m.

Homework Equations



E = k*2qL/r^3
F = qE
E(dipole) = k*2*alpha*E(sphere)/r^3

The Attempt at a Solution



I am given so many variables that I could not find a way to get any values from these equations.
 
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Bump, this question is driving me crazy, I would love some input.
 

FAQ: Determine the polarizability of a wire segment.

What is polarizability?

Polarizability refers to the ability of a material to develop an electric dipole moment in response to an external electric field. It is a measure of how easily the electrons in the material can be displaced.

How is polarizability related to a wire segment?

The polarizability of a wire segment is a measure of how easily the electrons in the wire can be displaced when an external electric field is applied to it. It depends on the material and physical properties of the wire, such as its length, diameter, and composition.

How is the polarizability of a wire segment determined?

The polarizability of a wire segment can be determined experimentally by measuring the change in electric dipole moment of the wire when an external electric field is applied. It can also be calculated using theoretical models based on the physical properties of the wire.

Why is the polarizability of a wire segment important?

The polarizability of a wire segment is important because it affects the overall behavior and properties of the wire. It can impact the electrical conductivity, strength, and other characteristics of the wire, making it a crucial factor in various applications.

Can the polarizability of a wire segment be changed?

Yes, the polarizability of a wire segment can be changed by altering its physical properties, such as its length, diameter, and composition. It can also be affected by external factors, such as temperature and pressure.

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