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3 DIELECTRIC BREAKDOWN (20 POINTS) The dielectric strength of air (that is, the maximum electric field air can withstand before it becomes a conductor due to ionization) is 3.0 x 106 V/m. Small van de Graaf generators are commonly used in hair-raising demonstrations that must achieve a high electric potential a) A spherical conductor has a radius of 30 cm (about 1 ft). What is the maximum charge that can be placed on the sphere before dielectric breakdown of the surrounding air occurs? Hint: for points outside the sphere, the sphere acts as a point charge located at the center. b) For the charge calculated in (a), what is the electric potential V at the surface of the sphere? Hint: use the point charge formula for electric potential

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