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Electrostatics of Conductors

Electrostatic Potential and Capacitance
Physics
Class 12

Overview

Discuss the electrostatic of conductors. Explain that inside conductor, electric field is 0, at the surface of a charged conductor, electrostatic field must be normal to the surface at every point, interior of a conductor has no excess charge in the static situation. Electrostatic potential is constant throughout the volume of conductor and has the same value (as inside) on the surface, electric field on the surface of a charged conductor is E = (sigma / e0) *n^ (outward for positive sigma and inward for negative sigma). Discuss electrostatic shielding. Discuss the earthing of a conductor. Find the mechanical force acting on unit area of a charged conductor. Electric field due to conductors - Problem L1. Solve the equilibrium of charged soap bubble problem. Derive the redistribution of charges taking 2 and 3 plates. Derive redistribution of charges and potential difference taking 2 and 3 shells.

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Electric Field and Potential Due to Conductor

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Redistribution of Charges Between Parallel Plates

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Redistribution of Charges Between Concentric Shells

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Practice Questions
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A hollow closed conductor of irregular shape is given some charge. Which of the following statements are correct?

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The quantity of heat generated in a conductor depends on _____.

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For a charged conductor at the surface,

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A hollow conducting spherical shell of radius is charged with coulomb. The amount of work done for moving any charge from the centre to the surface of the shell will be

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A point charge is placed in front of a solid conducting sphere. Electric field due to induced charges at the centre of sphere is zero.

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A solid insulating sphere of radius a carries a net positive charge 3Q, uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b and outer radius c and having a net charge Q, as shown in the figure. Electric field varies with distance r from the centre as 

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The diagram shows three identical metal plates that are set parallel to each other. The left plate is farther from the center plate than the right plate is from the center plate. A source of constant EMF is connected to the system such that the center plate is connected to the positive terminal and the left and right plates are connected to the negative terminal.
Which of the following diagrams correctly depicts the electric field lines (shown as arrows) in the region between the plates?

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There are four concentric shells A, B, C and D of radii a, 2a, 3a and 4a respectively. Shells B and D are given charges +q and - q respectively. Shell C is now earthed. The potential difference is  :

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Two thick plates having same charges (same charge density ) are placed side by side. Consider the case of infinite plate. Find the difference between the electric field present between the plate and remaining space of the plate,    (=permittivity)

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