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The method of image charges (also known as the method of images and method of mirror charges) is a basic problem-solving tool in electrostatics.The name originates from the replacement of certain elements in the original layout with fictitious charges, which replicates the boundary conditions of the problem (see Dirichlet boundary conditions or Neumann boundary conditions).
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The formula provides a natural generalization of the Coulomb's law for cases where the source charge is moving: = [′ ′ + ′ (′ ′) + ′] = ′ Here, and are the electric and magnetic fields respectively, is the electric charge, is the vacuum permittivity (electric field constant) and is the speed of light.
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Circuit diagram of a charge qubit circuit. The island (dotted line) is formed by the superconducting electrode between the gate capacitor and the junction capacitance. In quantum computing , a charge qubit (also known as Cooper-pair box ) is a qubit whose basis states are charge states (i.e. states which represent the presence or absence of ...
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The only charges inside S are the charge Q on the object C, and the induced charge Q induced on the inside surface of the metal. Since the sum of these two charges is zero, the induced charge on the inside surface of the shell must have an equal but opposite value to the charge on C: Q induced = − Q .