Part of JES-02 — Electrostatic Potential, Capacitance & Energy

Van de Graaff Generator

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The Van de Graaff generator accumulates charge on a hollow metallic sphere to create high potentials (millions of volts). Principle: charge placed inside a conducting shell transfers completely to the outer surface regardless of the shell's existing charge (because VinsideV_{inside} >= VsurfaceV_{surface}, so charge flows outward). A continuous belt carries charge from a source to the inside of the sphere. The limiting voltage depends on the radius: VmaxV_{max} ~ EbreakdownE_{breakdown} * R (for air, EbreakdownE_{breakdown} ~ 3 x 10^6 V/m, so a 1 m sphere can reach ~3 MV). Applications: particle accelerators, X-ray generation, nuclear physics experiments. JEE relevance: understand the principle (not detailed design).

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