What is the Charge on the metal plate?

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SUMMARY

The charge on the metal plate, after being connected to the ground and influenced by an external charge of +Q, will be -Q once the switch is opened and the external charge is removed. This conclusion is based on the principle of electrostatic induction, where the plate acquires a charge of opposite sign to that of the nearby charge. The Method of Images is a relevant theoretical framework to understand this phenomenon, particularly under the assumption that the plate is infinitely large.

PREREQUISITES
  • Understanding of electrostatics and charge induction
  • Familiarity with the Method of Images in electrostatics
  • Basic knowledge of conductors and grounding principles
  • Concept of electric field interactions
NEXT STEPS
  • Study the Method of Images in detail to grasp its applications in electrostatics
  • Explore electrostatic induction and its implications in various scenarios
  • Learn about the behavior of conductors in electrostatic equilibrium
  • Investigate grounding techniques and their effects on charge distribution
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Students of physics, particularly those studying electrostatics, electrical engineers, and anyone interested in understanding charge interactions in conductive materials.

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A metal plate is connected by a conductor to a ground through a switch. The switch is initially closed. A charge of +Q is brought close to the plate without touching it, and then the switch is opened. After the switch is opened, the charge +Q is removed. What is the charge on the plate then?



Homework Equations





The Attempt at a Solution



This is all new to me, I have no clue.
 
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