Induced charges and electrostatic potential

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SUMMARY

The discussion centers on the interaction between induced charges and the inducing charge in electrostatics. It is established that induced charges are real and create their own electric fields, which affect the inducing charge. Moving the inducing charge against the electric field of the induced charge requires work, confirming that energy cannot be created from nothing. This principle is fundamental to the operation of electric motors and generators, where external work is necessary to maintain the system against these fields.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Familiarity with the concept of induced charges
  • Knowledge of electric potential and work-energy principles
  • Basic principles of electric motors and generators
NEXT STEPS
  • Study the principles of electric fields and forces in electrostatics
  • Learn about the mathematical formulation of induced charges
  • Explore the work-energy theorem in the context of electric fields
  • Investigate the design and operation of electric motors and generators
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Students of physics, electrical engineers, and anyone interested in understanding the principles of electrostatics and their applications in electrical devices.

lackos
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There is one point I am unclear upon in terms of indued charges.

If a charge is induced by another charge, will the potential from the induced charge have an effect on the inducing charge. It seems that if it were the case you would be getting (increasing) energy from nothing, however if it weren't true it seems strange that it would have no effect on the charge as it is still an electric field.

i hope i was clear enough, if not let me know

Lackos
 
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What sort of 'effect' were you thinking of?

Bear in mind that induced charges are every bit as real charges as the inducing charge.
 
by effect i mean, would it take work to move the inducing charge against the induced charge's electric field.
 
by effect i mean, would it take work to move the inducing charge against the induced charge's electric field.

Yes, of course that is how electric motors/generators work.
Of course you have to be careful about the sign of the work since the induced charge and inducing charge have opposite signs.
 
Yes, the induced charge creates its own fields which effect everything else in the system. However, you don't get energy from nothing, because some external work is being put into being together the system in the first place against these fields.
 

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