3.1.5.Uniqueness Theorems

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3.1.5 • Boundary Conditions and Uniqueness Theorems
3.1.6 • Conductors and the Second Uniqueness Theorem
Electrodynamics for UG Students
Unit: Special Techniques for Calculating Potentials

Dr. Nabeel Rashin. M
  1. Dr.Nabeel Rashin
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Doubt 1: First gauss law apply cheyyumbo, we have only taken the charge density \rho, why didn't we consider the charges on the conductor. Could you explain how exactly is the system physically. 
Doubt 2: when we consider the gauss's law in integral form, we have considered each conductors having respective charges, but how can electric field be the same for all each charges. also the charge density \rho has a contribution making E1. (this is like taking a dipole, drawing a gaussian surface around one other charge in the dipole, and writing the integral form of gauss's law with electric field on the axial point in the LHS and just one charge q in the RHS
Doubt 3: while applying divergence theorem, the volume integration is done on the outer surface while surface integral is done around each conductor. How is this correct

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