Electrostatic Energy and Charges
Explore the concept of electrostatic energy and charges in physics, including energy density, system of point charges, self-energy, and interaction energy. Learn about the implications for point charges and the breakdown of classical electrodynamics at small distances.
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Presentation Transcript
Electrostatic energy of charges LL2 Section 37
Energy density = E = field of static charges Energy All space Poisson s equation Gauss s law = charge density at dV = potential at dV
System of point charges Potential at location of ea due to all the charges
Single point charge has infinite self energy Potential due to itself at charge s location R = 0 Implies infinite rest mass for point charge = mc2. Validity of classical electrodynamics breaks down at small distances. Classical radius of an electron = 2.8 x 10-15 m Set ~ nuclear dimensions
System of point charges Self energy of all the charges is infinite, but at least it is constant. Double sum