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Surface charge: 0.00 μC
Potential: 0.0 kV
E-field (surface): 0.0 MV/m
Breakdown at: 3.0 MV/m
Sparks: 0
Belt speed 50%
Sphere radius 15 cm
Humidity 30%
Ground distance 40 cm

The Van de Graaff generator was invented by Robert J. Van de Graaff in 1929 at Princeton University. A motor-driven insulating belt transports charge from a lower corona point (or comb) to the interior of a hollow metal sphere. Because excess charge on a conductor resides entirely on the outer surface (a consequence of Gauss's law), the belt can continuously deliver charge to the interior, and the sphere's potential rises without limit — in principle.

In practice, the potential is limited by dielectric breakdown of the surrounding air. When the electric field at the sphere's surface exceeds approximately 3 MV/m (for dry air at sea level), air molecules ionize and a corona discharge begins, leaking charge. At higher fields or when a grounded conductor is nearby, a full spark discharge occurs: a branching plasma channel that neutralizes the accumulated charge in microseconds.

Humidity dramatically affects the breakdown threshold. Water molecules are polar and provide free charge carriers; humid air breaks down at lower field strengths. This is why Van de Graaff demonstrations work best on dry winter days.

The "hair-raising" effect is a direct consequence of Coulomb repulsion. Hair strands touching the charged sphere acquire like charges and repel each other, standing on end. The force on each strand is proportional to Q²/r².