Electric Potential Difference -- Conceptual Question

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SUMMARY

The discussion centers on calculating the electric potential difference between two concentric spherical shells: an inner shell with radius 'a' and charge 'Q', and an outer shell with radius 'b' and charge '-4Q'. The potential at each shell is derived using the formula V1 = kQ/a - 4kQ/b for the inner shell and V2 = kQ/b - 4kQ/b for the outer shell. The confusion arises regarding the correct order of subtraction for the potential difference, which is clarified as V1 - V2. The problem emphasizes the importance of understanding the charge distribution and the reference point for electric potential.

PREREQUISITES
  • Understanding of electric potential and electric fields
  • Familiarity with Coulomb's law and the concept of charge
  • Knowledge of spherical symmetry in electrostatics
  • Ability to interpret and analyze electric potential equations
NEXT STEPS
  • Study the derivation of electric potential for spherical charge distributions
  • Learn about the properties of electric fields in concentric shells
  • Explore the concept of electric potential energy in electrostatics
  • Investigate the implications of charge distribution on electric potential
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone studying electrostatics, particularly those interested in understanding electric potential differences in systems with multiple charges.

anon1234
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Homework Statement
Potential difference (ΔV)measured by the student between the inner solid sphere and outer shell after putting a charge - 4Q is :
Relevant Equations
v = kq/r
I am able to get V1 = kq/a - 4kq/b
and V2 = kq/b + -4kq/b

For some reason the solution says it is V1-V2 as opposed to V2-V1.

Maybe has something to do with positive shell in the center and negative outer shell? I know the electric field goes from positive to negative, but I don't know how they relate.
 
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Please post a figure of the problem or describe it the best way you can. Your description of the problem is incomplete. Do we have a solid sphere of radius a and charge Q, surrounded by a shell of radius b and charge -4Q? Or do we have two shells? I really can't understand.
 
Last edited:
Delta2 said:
Please post a figure of the problem or describe it the best way you can. Your description of the problem is incomplete. Do we have a solid sphere of radius a and charge Q, surrounded by a shell of radius b and charge -4Q? Or do we have two shells? I really can't understand.
It is 2 concentric shells. The first shell has radius a (charge Q), and the second shell has radius b (with charge -4Q).
 
How is the student measuring it? That might matter.
 
hutchphd said:
How is the student measuring it? That might matter.
I hope this is ample info.

Both shells are made of insulating material, and the charges are distributed uniformly over its surface. Take the electric potential to be zero at an infinite distance from both shells. What is the magnitude of the potential difference between the surfaces
of the two shells?
 
anon1234 said:
What is the magnitude
This phrase implies a positive number...(?)
 
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hutchphd said:
This phrase implies a positive number...(?)
lol. ty!
 
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