Rubber balloon in electric field

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SUMMARY

A rubber balloon with a surface charge q is placed in a uniform electric field of 120 N/C. The electric field inside the balloon is initially 0 N/C, and when subjected to the external field, the principle of superposition applies, resulting in an internal field of 120 N/C. However, to determine the charge inside the balloon, one must consider the polarizability of the balloon material, which relates the external electric field to the induced dipole moment and the internal charge distribution.

PREREQUISITES
  • Understanding of electric fields and their properties
  • Knowledge of the principle of superposition in electrostatics
  • Familiarity with the concept of polarizability
  • Basic principles of dipole moments
NEXT STEPS
  • Study the concept of electric field inside conductors and dielectrics
  • Learn about the mathematical relationship between polarizability and induced dipole moments
  • Explore the implications of Gauss's Law in electrostatics
  • Investigate the behavior of spherical shells in electric fields
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Students studying electrostatics, physics educators, and anyone interested in the behavior of charged objects in electric fields.

phantom113
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Homework Statement


A rubber balloon has a charge q evenly distributed over its surface. It is put into a uniform electric field of 120 N/C. What is the charge inside the balloon?


Homework Equations





The Attempt at a Solution


I thought that E inside would be 120 since before it is put into the electric field, E inside is 0(true or not?). When it is put into the field you use the principle of superposition and they add to 120 N/C?

Any insight to this would be helpful. I handed it in this morning but I'd still like to know if I made correct assumptions.
 
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phantom113 said:

Homework Statement


A rubber balloon has a charge q evenly distributed over its surface. It is put into a uniform electric field of 120 N/C. What is the charge inside the balloon?


Homework Equations





The Attempt at a Solution


I thought that E inside would be 120 since before it is put into the electric field, E inside is 0(true or not?). When it is put into the field you use the principle of superposition and they add to 120 N/C?

Any insight to this would be helpful. I handed it in this morning but I'd still like to know if I made correct assumptions.
Assuming the balloon to approximate a spherical shell then I'd say you're right about the E-field, but you are missing a step, which is using the polarizability to relate the field to the dipole moment created and ultimately the charge on the inside.
 

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